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|---|---|---|---|
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An opisometer with a precision of +/- 0.003 meters measures a distance of 0.316 meters and a radar-based method with a precision of +/- 10 meters measures a distance between two different points as 4240 meters. Using a computer, you multiply the numbers and get the solution 1339.840000000000. How would this answer look if we rounded it with the right number of significant figures?
A. 1340 meters^2
B. 1330 meters^2
C. 1339.840 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.001 meters takes a measurement of 6.925 meters, and an analytical balance with a precision of +/- 0.02 grams measures a mass as 6.46 grams. After multiplying the values your computer gets the solution 44.735500000000. Using the right level of precision, what is the result?
A. 44.7 gram-meters
B. 44.74 gram-meters
C. 44.736 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 20 meters takes a measurement of 6850 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0031 meters when measuring a distance between two different points. Using a computer, you multiply the former value by the latter and get the solution 21.235000000000. How can we express this solution to the correct number of significant figures?
A. 21.24 meters^2
B. 21 meters^2
C. 20 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stopwatch with a precision of +/- 0.2 seconds takes a measurement of 47.0 seconds, and a stadimeter with a precision of +/- 2 meters measures a distance as 2 meters. Your calculator gives the output 94.000000000000 when multiplying the former value by the latter. Report this output using the suitable number of significant figures.
A. 94.0 meter-seconds
B. 94 meter-seconds
C. 90 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 400 meters measures a distance of 15800 meters and a clickwheel with a precision of +/- 0.04 meters measures a distance between two different points as 0.01 meters. After multiplying the values your calculator produces the solution 158.000000000000. How would this answer look if we reported it with the correct number of significant figures?
A. 200 meters^2
B. 158.0 meters^2
C. 100 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.03 seconds measures a duration of 0.10 seconds and an opisometer with a precision of +/- 4 meters measures a distance as 2570 meters. You multiply the numbers with a calculator and get the output 257.000000000000. If we round this output appropriately with respect to the number of significant figures, what is the answer?
A. 260 meter-seconds
B. 257.00 meter-seconds
C. 257 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A tape measure with a precision of +/- 0.0004 meters takes a measurement of 0.0686 meters, and a stadimeter with a precision of +/- 0.4 meters measures a distance between two different points as 59.0 meters. You multiply the two numbers with a calculator app and get the output 4.047400000000. How would this answer look if we reported it with the correct level of precision?
A. 4.047 meters^2
B. 4.05 meters^2
C. 4.0 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.2 meters measures a distance of 3.9 meters and an analytical balance with a precision of +/- 0.1 grams measures a mass as 321.6 grams. You multiply the two numbers with a calculator app and get the solution 1254.240000000000. How would this result look if we expressed it with the appropriate number of significant figures?
A. 1300 gram-meters
B. 1254.2 gram-meters
C. 1254.24 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 1 liters takes a measurement of 3 liters, and a coincidence telemeter with a precision of +/- 30 meters measures a distance as 70 meters. You multiply the first number by the second number with a calculator app and get the solution 210.000000000000. How can we round this solution to the appropriate level of precision?
A. 210.0 liter-meters
B. 210 liter-meters
C. 200 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 0.3 grams takes a measurement of 70.6 grams, and a measuring tape with a precision of +/- 0.04 meters measures a distance as 64.84 meters. You multiply the former number by the latter with a calculator and get the output 4577.704000000000. When this output is rounded to the right number of significant figures, what do we get?
A. 4577.7 gram-meters
B. 4580 gram-meters
C. 4577.704 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 200 grams takes a measurement of 200 grams, and a storage container with a precision of +/- 0.1 liters reads 1.9 liters when measuring a volume. After multiplying the first number by the second number your calculator app produces the solution 380.000000000000. If we write this solution appropriately with respect to the number of significant figures, what is the result?
A. 380.0 gram-liters
B. 400 gram-liters
C. 300 gram-liters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 1 grams measures a mass of 86 grams and a ruler with a precision of +/- 0.1 meters measures a distance as 6.7 meters. You multiply the first number by the second number with a calculator app and get the output 576.200000000000. How would this result look if we rounded it with the proper level of precision?
A. 580 gram-meters
B. 576 gram-meters
C. 576.20 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.002 meters takes a measurement of 0.005 meters, and a balance with a precision of +/- 300 grams reads 56200 grams when measuring a mass. You multiply the former number by the latter with a calculator and get the solution 281.000000000000. How can we report this solution to the suitable number of significant figures?
A. 281.0 gram-meters
B. 300 gram-meters
C. 200 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.03 meters measures a distance of 27.89 meters and a chronometer with a precision of +/- 0.00002 seconds reads 0.07052 seconds when measuring a duration. You multiply the first value by the second value with a calculator app and get the output 1.966802800000. Using the correct level of precision, what is the result?
A. 1.97 meter-seconds
B. 1.967 meter-seconds
C. 1.9668 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 20 grams measures a mass of 70 grams and a coincidence telemeter with a precision of +/- 1 meters reads 8018 meters when measuring a distance. You multiply the former value by the latter with a calculator and get the output 561260.000000000000. Using the proper level of precision, what is the answer?
A. 561260.0 gram-meters
B. 561260 gram-meters
C. 600000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 3 grams measures a mass of 975 grams and a meter stick with a precision of +/- 0.0003 meters reads 0.0467 meters when measuring a distance. Using a calculator app, you multiply the former value by the latter and get the output 45.532500000000. Round this output using the proper level of precision.
A. 45.5 gram-meters
B. 45.532 gram-meters
C. 45 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 0.303 liters and a stadimeter with a precision of +/- 200 meters measures a distance as 4600 meters. You multiply the numbers with a calculator app and get the solution 1393.800000000000. Using the appropriate level of precision, what is the result?
A. 1300 liter-meters
B. 1393.80 liter-meters
C. 1400 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.03 meters measures a distance of 28.70 meters and an odometer with a precision of +/- 200 meters reads 3300 meters when measuring a distance between two different points. Your computer gets the output 94710.000000000000 when multiplying the former value by the latter. If we write this output to the suitable number of significant figures, what is the result?
A. 94710.00 meters^2
B. 95000 meters^2
C. 94700 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring rod with a precision of +/- 0.04 meters measures a distance of 8.02 meters and a measuring rod with a precision of +/- 0.01 meters reads 62.63 meters when measuring a distance between two different points. Your calculator app gives the output 502.292600000000 when multiplying the first number by the second number. If we round this output to the right level of precision, what is the result?
A. 502 meters^2
B. 502.29 meters^2
C. 502.293 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.1 meters measures a distance of 948.8 meters and a hydraulic scale with a precision of +/- 100 grams reads 444700 grams when measuring a mass. Your computer produces the output 421931360.000000000000 when multiplying the two numbers. When this output is rounded to the right number of significant figures, what do we get?
A. 421900000 gram-meters
B. 421931300 gram-meters
C. 421931360.0000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 0.4 liters takes a measurement of 81.9 liters, and a storage container with a precision of +/- 0.4 liters reads 920.6 liters when measuring a volume of a different quantity of liquid. After multiplying the two numbers your calculator yields the output 75397.140000000000. When this output is expressed to the right level of precision, what do we get?
A. 75397.1 liters^2
B. 75400 liters^2
C. 75397.140 liters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.02 seconds measures a duration of 0.38 seconds and a stadimeter with a precision of +/- 4 meters reads 6212 meters when measuring a distance. Your calculator app gives the solution 2360.560000000000 when multiplying the former number by the latter. Express this solution using the suitable level of precision.
A. 2400 meter-seconds
B. 2360.56 meter-seconds
C. 2360 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.004 meters measures a distance of 0.075 meters and a spring scale with a precision of +/- 3000 grams reads 86000 grams when measuring a mass. After multiplying the first number by the second number your calculator app produces the solution 6450.000000000000. How can we report this solution to the suitable level of precision?
A. 6450.00 gram-meters
B. 6400 gram-meters
C. 6000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0698 meters, and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0772 meters. After multiplying the former value by the latter your computer produces the output 0.005388560000. When this output is written to the right number of significant figures, what do we get?
A. 0.005 meters^2
B. 0.0054 meters^2
C. 0.00539 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.04 seconds measures a duration of 47.32 seconds and a measuring flask with a precision of +/- 0.03 liters reads 27.80 liters when measuring a volume. Using a calculator app, you multiply the former value by the latter and get the output 1315.496000000000. When this output is reported to the right number of significant figures, what do we get?
A. 1315 liter-seconds
B. 1315.4960 liter-seconds
C. 1315.50 liter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.02 seconds measures a duration of 12.48 seconds and a measuring flask with a precision of +/- 0.01 liters reads 1.00 liters when measuring a volume. Your computer gets the solution 12.480000000000 when multiplying the two numbers. Report this solution using the right level of precision.
A. 12.48 liter-seconds
B. 12.5 liter-seconds
C. 12.480 liter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.004 meters measures a distance of 4.265 meters and an odometer with a precision of +/- 3000 meters measures a distance between two different points as 4000 meters. You multiply the two values with a computer and get the solution 17060.000000000000. How can we round this solution to the correct number of significant figures?
A. 20000 meters^2
B. 17060.0 meters^2
C. 17000 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 20 grams takes a measurement of 92200 grams, and a timer with a precision of +/- 0.001 seconds reads 0.003 seconds when measuring a duration. You multiply the former number by the latter with a calculator app and get the solution 276.600000000000. Using the suitable level of precision, what is the answer?
A. 270 gram-seconds
B. 300 gram-seconds
C. 276.6 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stopwatch with a precision of +/- 0.04 seconds measures a duration of 6.36 seconds and a balance with a precision of +/- 0.4 grams reads 961.8 grams when measuring a mass. You multiply the numbers with a computer and get the output 6117.048000000000. How can we report this output to the suitable number of significant figures?
A. 6117.0 gram-seconds
B. 6120 gram-seconds
C. 6117.048 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.04 meters measures a distance of 9.72 meters and a coincidence telemeter with a precision of +/- 30 meters measures a distance between two different points as 3690 meters. After multiplying the first number by the second number your computer gets the solution 35866.800000000000. How would this answer look if we reported it with the correct level of precision?
A. 35900 meters^2
B. 35866.800 meters^2
C. 35860 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 300 meters takes a measurement of 842400 meters, and a stadimeter with a precision of +/- 40 meters measures a distance between two different points as 820 meters. After multiplying the values your computer produces the output 690768000.000000000000. When this output is expressed to the suitable number of significant figures, what do we get?
A. 690768000.00 meters^2
B. 690000000 meters^2
C. 690768000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 400 meters takes a measurement of 24400 meters, and an odometer with a precision of +/- 1000 meters reads 6000 meters when measuring a distance between two different points. After multiplying the former value by the latter your computer produces the solution 146400000.000000000000. If we report this solution to the correct level of precision, what is the result?
A. 100000000 meters^2
B. 146400000 meters^2
C. 146400000.0 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 0.1 meters takes a measurement of 3.9 meters, and a radar-based method with a precision of +/- 1 meters measures a distance between two different points as 2635 meters. Your computer gets the output 10276.500000000000 when multiplying the first number by the second number. Using the correct number of significant figures, what is the result?
A. 10276.50 meters^2
B. 10276 meters^2
C. 10000 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 3000 grams takes a measurement of 15000 grams, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance as 2.1 meters. Using a calculator app, you multiply the former number by the latter and get the output 31500.000000000000. How would this answer look if we reported it with the correct level of precision?
A. 32000 gram-meters
B. 31000 gram-meters
C. 31500.00 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 10 meters measures a distance of 60 meters and an odometer with a precision of +/- 400 meters measures a distance between two different points as 660100 meters. You multiply the two numbers with a calculator and get the solution 39606000.000000000000. Write this solution using the appropriate number of significant figures.
A. 39606000.0 meters^2
B. 40000000 meters^2
C. 39606000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 100 meters measures a distance of 4600 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 89.58 meters. Using a calculator app, you multiply the former value by the latter and get the output 412068.000000000000. How can we report this output to the correct number of significant figures?
A. 412068.00 meters^2
B. 410000 meters^2
C. 412000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 4 grams takes a measurement of 3921 grams, and a measuring tape with a precision of +/- 0.2 meters measures a distance as 713.2 meters. You multiply the former value by the latter with a calculator and get the solution 2796457.200000000000. If we report this solution appropriately with respect to the number of significant figures, what is the answer?
A. 2796000 gram-meters
B. 2796457 gram-meters
C. 2796457.2000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 10 meters measures a distance of 9270 meters and a measuring stick with a precision of +/- 0.04 meters measures a distance between two different points as 0.57 meters. Using a calculator, you multiply the first number by the second number and get the solution 5283.900000000000. Using the appropriate level of precision, what is the answer?
A. 5283.90 meters^2
B. 5300 meters^2
C. 5280 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 20 meters measures a distance of 62310 meters and a Biltmore stick with a precision of +/- 0.03 meters measures a distance between two different points as 9.65 meters. Your calculator app gets the solution 601291.500000000000 when multiplying the former value by the latter. How can we express this solution to the suitable number of significant figures?
A. 601000 meters^2
B. 601290 meters^2
C. 601291.500 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 2000 meters takes a measurement of 83000 meters, and a chronograph with a precision of +/- 0.02 seconds reads 0.07 seconds when measuring a duration. After multiplying the former number by the latter your calculator app yields the solution 5810.000000000000. How would this answer look if we reported it with the proper number of significant figures?
A. 6000 meter-seconds
B. 5000 meter-seconds
C. 5810.0 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.004 seconds measures a duration of 0.157 seconds and a measuring flask with a precision of +/- 0.04 liters reads 84.03 liters when measuring a volume. You multiply the values with a computer and get the solution 13.192710000000. How would this result look if we rounded it with the correct number of significant figures?
A. 13.193 liter-seconds
B. 13.19 liter-seconds
C. 13.2 liter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 1 meters takes a measurement of 3956 meters, and a caliper with a precision of +/- 0.03 meters measures a distance between two different points as 30.70 meters. Your calculator produces the output 121449.200000000000 when multiplying the former value by the latter. How can we express this output to the right number of significant figures?
A. 121400 meters^2
B. 121449 meters^2
C. 121449.2000 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A caliper with a precision of +/- 0.04 meters takes a measurement of 0.05 meters, and a radar-based method with a precision of +/- 10 meters reads 570 meters when measuring a distance between two different points. Using a calculator, you multiply the former number by the latter and get the output 28.500000000000. How would this answer look if we rounded it with the suitable number of significant figures?
A. 30 meters^2
B. 28.5 meters^2
C. 20 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.03 meters takes a measurement of 7.91 meters, and an analytical balance with a precision of +/- 40 grams reads 490 grams when measuring a mass. Using a calculator app, you multiply the former value by the latter and get the solution 3875.900000000000. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 3870 gram-meters
B. 3900 gram-meters
C. 3875.90 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 1 liters measures a volume of 9075 liters and a clickwheel with a precision of +/- 0.002 meters measures a distance as 0.041 meters. After multiplying the former number by the latter your computer yields the output 372.075000000000. If we express this output properly with respect to the level of precision, what is the result?
A. 372.08 liter-meters
B. 372 liter-meters
C. 370 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 100 meters takes a measurement of 900 meters, and a stadimeter with a precision of +/- 20 meters measures a distance between two different points as 80 meters. Your calculator yields the solution 72000.000000000000 when multiplying the first value by the second value. If we round this solution to the correct level of precision, what is the result?
A. 72000.0 meters^2
B. 70000 meters^2
C. 72000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.2 meters takes a measurement of 770.2 meters, and a rangefinder with a precision of +/- 20 meters measures a distance between two different points as 70980 meters. After multiplying the two values your calculator gives the output 54668796.000000000000. Express this output using the right number of significant figures.
A. 54668790 meters^2
B. 54670000 meters^2
C. 54668796.0000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 2000 meters measures a distance of 393000 meters and a balance with a precision of +/- 0.3 grams measures a mass as 0.3 grams. Your calculator yields the output 117900.000000000000 when multiplying the two numbers. How would this result look if we rounded it with the right level of precision?
A. 117000 gram-meters
B. 117900.0 gram-meters
C. 100000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 4 liters takes a measurement of 30 liters, and a storage container with a precision of +/- 1 liters reads 754 liters when measuring a volume of a different quantity of liquid. After multiplying the first value by the second value your calculator app gives the solution 22620.000000000000. If we round this solution properly with respect to the level of precision, what is the answer?
A. 23000 liters^2
B. 22620 liters^2
C. 22620.00 liters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 3000 meters measures a distance of 60000 meters and a rangefinder with a precision of +/- 10 meters measures a distance between two different points as 180 meters. After multiplying the two values your calculator app produces the solution 10800000.000000000000. Using the right level of precision, what is the result?
A. 11000000 meters^2
B. 10800000 meters^2
C. 10800000.00 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 30 grams takes a measurement of 30 grams, and an odometer with a precision of +/- 4000 meters measures a distance as 4427000 meters. Your calculator app gives the output 132810000.000000000000 when multiplying the numbers. When this output is rounded to the suitable level of precision, what do we get?
A. 132810000.0 gram-meters
B. 100000000 gram-meters
C. 132810000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 300 meters takes a measurement of 660700 meters, and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 0.05 meters. Your calculator app yields the solution 33035.000000000000 when multiplying the former number by the latter. When this solution is rounded to the correct number of significant figures, what do we get?
A. 30000 meters^2
B. 33035.0 meters^2
C. 33000 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronometer with a precision of +/- 0.0002 seconds takes a measurement of 0.9208 seconds, and a spring scale with a precision of +/- 2000 grams measures a mass as 2000 grams. After multiplying the former value by the latter your computer produces the output 1841.600000000000. Using the right number of significant figures, what is the result?
A. 2000 gram-seconds
B. 1841.6 gram-seconds
C. 1000 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.04 meters takes a measurement of 0.81 meters, and a balance with a precision of +/- 2 grams reads 800 grams when measuring a mass. You multiply the first value by the second value with a calculator and get the solution 648.000000000000. Report this solution using the appropriate level of precision.
A. 648 gram-meters
B. 648.00 gram-meters
C. 650 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 0.1 grams measures a mass of 14.5 grams and an opisometer with a precision of +/- 2 meters measures a distance as 76 meters. After multiplying the numbers your computer gets the solution 1102.000000000000. If we express this solution to the proper level of precision, what is the answer?
A. 1102 gram-meters
B. 1102.00 gram-meters
C. 1100 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 3000 meters measures a distance of 29000 meters and a clickwheel with a precision of +/- 0.02 meters reads 8.70 meters when measuring a distance between two different points. Using a calculator app, you multiply the values and get the output 252300.000000000000. When this output is rounded to the correct number of significant figures, what do we get?
A. 252300.00 meters^2
B. 250000 meters^2
C. 252000 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring rod with a precision of +/- 0.003 meters measures a distance of 0.637 meters and a caliper with a precision of +/- 0.02 meters reads 95.51 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator gets the output 60.839870000000. If we round this output suitably with respect to the level of precision, what is the result?
A. 60.84 meters^2
B. 60.8 meters^2
C. 60.840 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.04 seconds takes a measurement of 0.33 seconds, and a timer with a precision of +/- 0.3 seconds reads 738.8 seconds when measuring a duration of a different event. After multiplying the values your computer produces the output 243.804000000000. How would this answer look if we wrote it with the suitable number of significant figures?
A. 243.80 seconds^2
B. 243.8 seconds^2
C. 240 seconds^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 0.4 meters takes a measurement of 617.8 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.552 liters. Using a calculator, you multiply the two values and get the output 341.025600000000. If we write this output appropriately with respect to the number of significant figures, what is the result?
A. 341 liter-meters
B. 341.026 liter-meters
C. 341.0 liter-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 20 meters measures a distance of 58910 meters and an analytical balance with a precision of +/- 100 grams measures a mass as 8200 grams. Using a calculator, you multiply the numbers and get the solution 483062000.000000000000. How can we report this solution to the right number of significant figures?
A. 483062000.00 gram-meters
B. 480000000 gram-meters
C. 483062000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.04 meters takes a measurement of 0.06 meters, and a clickwheel with a precision of +/- 0.04 meters reads 99.14 meters when measuring a distance between two different points. You multiply the values with a calculator and get the output 5.948400000000. When this output is written to the correct number of significant figures, what do we get?
A. 6 meters^2
B. 5.9 meters^2
C. 5.95 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 400 grams measures a mass of 700 grams and a stadimeter with a precision of +/- 0.1 meters measures a distance as 691.5 meters. You multiply the two values with a calculator app and get the solution 484050.000000000000. When this solution is reported to the right number of significant figures, what do we get?
A. 500000 gram-meters
B. 484050.0 gram-meters
C. 484000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.03 meters takes a measurement of 82.41 meters, and a clickwheel with a precision of +/- 0.02 meters reads 6.96 meters when measuring a distance between two different points. You multiply the former value by the latter with a computer and get the solution 573.573600000000. If we round this solution to the right level of precision, what is the answer?
A. 573.574 meters^2
B. 574 meters^2
C. 573.57 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.001 meters measures a distance of 0.092 meters and an odometer with a precision of +/- 3000 meters reads 5603000 meters when measuring a distance between two different points. You multiply the first value by the second value with a computer and get the solution 515476.000000000000. How can we express this solution to the proper level of precision?
A. 515476.00 meters^2
B. 515000 meters^2
C. 520000 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 2000 meters measures a distance of 14000 meters and an analytical balance with a precision of +/- 0.01 grams measures a mass as 16.53 grams. You multiply the values with a calculator app and get the solution 231420.000000000000. How would this answer look if we expressed it with the right number of significant figures?
A. 231420.00 gram-meters
B. 231000 gram-meters
C. 230000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring rod with a precision of +/- 0.002 meters measures a distance of 1.063 meters and a timer with a precision of +/- 0.03 seconds measures a duration as 96.16 seconds. Using a calculator, you multiply the numbers and get the solution 102.218080000000. Using the appropriate number of significant figures, what is the result?
A. 102.22 meter-seconds
B. 102.2 meter-seconds
C. 102.2181 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 1 meters measures a distance of 921 meters and a spring scale with a precision of +/- 200 grams measures a mass as 8600 grams. After multiplying the former number by the latter your calculator yields the solution 7920600.000000000000. Round this solution using the correct level of precision.
A. 7900000 gram-meters
B. 7920600.00 gram-meters
C. 7920600 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 2 meters measures a distance of 76 meters and a caliper with a precision of +/- 0.004 meters measures a distance between two different points as 0.044 meters. Your calculator gives the output 3.344000000000 when multiplying the two values. How would this answer look if we reported it with the suitable number of significant figures?
A. 3 meters^2
B. 3.3 meters^2
C. 3.34 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A rangefinder with a precision of +/- 0.0001 meters takes a measurement of 0.0187 meters, and a radar-based method with a precision of +/- 200 meters reads 153200 meters when measuring a distance between two different points. You multiply the numbers with a computer and get the output 2864.840000000000. When this output is expressed to the proper number of significant figures, what do we get?
A. 2860 meters^2
B. 2800 meters^2
C. 2864.840 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A stadimeter with a precision of +/- 3 meters takes a measurement of 52 meters, and a chronograph with a precision of +/- 0.3 seconds measures a duration as 6.2 seconds. You multiply the two numbers with a calculator app and get the output 322.400000000000. Round this output using the proper number of significant figures.
A. 320 meter-seconds
B. 322.40 meter-seconds
C. 322 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring stick with a precision of +/- 0.002 meters takes a measurement of 0.072 meters, and a coincidence telemeter with a precision of +/- 1 meters measures a distance between two different points as 149 meters. After multiplying the former number by the latter your calculator app gets the output 10.728000000000. If we report this output to the appropriate number of significant figures, what is the answer?
A. 11 meters^2
B. 10 meters^2
C. 10.73 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A hydraulic scale with a precision of +/- 4000 grams takes a measurement of 219000 grams, and an odometer with a precision of +/- 100 meters reads 286100 meters when measuring a distance. After multiplying the former number by the latter your computer gives the solution 62655900000.000000000000. If we write this solution to the right number of significant figures, what is the result?
A. 62700000000 gram-meters
B. 62655900000 gram-meters
C. 62655900000.000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.03 meters measures a distance of 5.49 meters and a measuring flask with a precision of +/- 0.002 liters reads 9.344 liters when measuring a volume. You multiply the two values with a calculator and get the solution 51.298560000000. If we write this solution to the right number of significant figures, what is the answer?
A. 51.30 liter-meters
B. 51.299 liter-meters
C. 51.3 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 40 grams takes a measurement of 49360 grams, and a stadimeter with a precision of +/- 400 meters reads 3600 meters when measuring a distance. Your calculator app gets the output 177696000.000000000000 when multiplying the former value by the latter. Write this output using the suitable number of significant figures.
A. 180000000 gram-meters
B. 177696000.00 gram-meters
C. 177696000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A balance with a precision of +/- 0.0004 grams takes a measurement of 0.0097 grams, and a rangefinder with a precision of +/- 2 meters measures a distance as 565 meters. After multiplying the former number by the latter your computer produces the output 5.480500000000. Report this output using the correct level of precision.
A. 5 gram-meters
B. 5.48 gram-meters
C. 5.5 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A radar-based method with a precision of +/- 400 meters measures a distance of 3400 meters and a rangefinder with a precision of +/- 40 meters reads 70 meters when measuring a distance between two different points. Using a calculator app, you multiply the two numbers and get the solution 238000.000000000000. If we report this solution appropriately with respect to the number of significant figures, what is the answer?
A. 238000 meters^2
B. 200000 meters^2
C. 238000.0 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring flask with a precision of +/- 0.002 liters takes a measurement of 0.005 liters, and an analytical balance with a precision of +/- 400 grams reads 179500 grams when measuring a mass. Using a calculator app, you multiply the former value by the latter and get the solution 897.500000000000. If we round this solution to the suitable number of significant figures, what is the result?
A. 900 gram-liters
B. 897.5 gram-liters
C. 800 gram-liters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A spring scale with a precision of +/- 2000 grams takes a measurement of 1889000 grams, and a hydraulic scale with a precision of +/- 3 grams reads 79 grams when measuring a mass of a different object. Your calculator gives the solution 149231000.000000000000 when multiplying the first value by the second value. Express this solution using the appropriate number of significant figures.
A. 149231000.00 grams^2
B. 149231000 grams^2
C. 150000000 grams^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A cathetometer with a precision of +/- 0.0002 meters takes a measurement of 0.1842 meters, and a spring scale with a precision of +/- 0.03 grams reads 17.71 grams when measuring a mass. After multiplying the two numbers your calculator gets the solution 3.262182000000. Using the right level of precision, what is the result?
A. 3.26 gram-meters
B. 3.262 gram-meters
C. 3.2622 gram-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 2 meters measures a distance of 7409 meters and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 3.244 meters. Using a calculator, you multiply the values and get the output 24034.796000000000. If we round this output to the suitable level of precision, what is the result?
A. 24034 meters^2
B. 24034.7960 meters^2
C. 24030 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 3 liters takes a measurement of 746 liters, and a measuring rod with a precision of +/- 0.004 meters reads 0.004 meters when measuring a distance. Your calculator app yields the solution 2.984000000000 when multiplying the former number by the latter. When this solution is reported to the suitable number of significant figures, what do we get?
A. 2 liter-meters
B. 3.0 liter-meters
C. 3 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A ruler with a precision of +/- 0.004 meters measures a distance of 0.010 meters and an analytical balance with a precision of +/- 0.003 grams reads 0.741 grams when measuring a mass. Using a computer, you multiply the values and get the output 0.007410000000. How can we write this output to the proper number of significant figures?
A. 0.0074 gram-meters
B. 0.007 gram-meters
C. 0.01 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A tape measure with a precision of +/- 0.002 meters takes a measurement of 0.002 meters, and a coincidence telemeter with a precision of +/- 200 meters reads 550600 meters when measuring a distance between two different points. Using a calculator, you multiply the first number by the second number and get the output 1101.200000000000. If we round this output correctly with respect to the level of precision, what is the answer?
A. 1100 meters^2
B. 1000 meters^2
C. 1101.2 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A timer with a precision of +/- 0.01 seconds measures a duration of 30.38 seconds and a stopwatch with a precision of +/- 0.004 seconds reads 7.259 seconds when measuring a duration of a different event. Your calculator produces the solution 220.528420000000 when multiplying the former number by the latter. When this solution is written to the right number of significant figures, what do we get?
A. 220.5 seconds^2
B. 220.5284 seconds^2
C. 220.53 seconds^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.1 meters takes a measurement of 38.7 meters, and a balance with a precision of +/- 4 grams measures a mass as 4 grams. After multiplying the values your computer gives the output 154.800000000000. Write this output using the appropriate number of significant figures.
A. 154.8 gram-meters
B. 154 gram-meters
C. 200 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A measuring tape with a precision of +/- 0.4 meters measures a distance of 268.1 meters and a stopwatch with a precision of +/- 0.01 seconds measures a duration as 0.22 seconds. You multiply the two values with a calculator and get the solution 58.982000000000. When this solution is written to the suitable number of significant figures, what do we get?
A. 59 meter-seconds
B. 59.0 meter-seconds
C. 58.98 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An odometer with a precision of +/- 400 meters measures a distance of 56900 meters and a balance with a precision of +/- 0.2 grams measures a mass as 66.0 grams. Your calculator yields the output 3755400.000000000000 when multiplying the former value by the latter. If we write this output appropriately with respect to the number of significant figures, what is the answer?
A. 3760000 gram-meters
B. 3755400 gram-meters
C. 3755400.000 gram-meters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.004 meters measures a distance of 3.065 meters and a timer with a precision of +/- 0.2 seconds measures a duration as 92.2 seconds. You multiply the two numbers with a calculator app and get the output 282.593000000000. When this output is written to the suitable number of significant figures, what do we get?
A. 282.593 meter-seconds
B. 282.6 meter-seconds
C. 283 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 10 liters measures a volume of 90 liters and a stadimeter with a precision of +/- 0.4 meters measures a distance as 966.9 meters. Using a calculator, you multiply the two numbers and get the solution 87021.000000000000. Round this solution using the suitable level of precision.
A. 87020 liter-meters
B. 90000 liter-meters
C. 87021.0 liter-meters
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A biltmore stick with a precision of +/- 0.03 meters measures a distance of 41.59 meters and an opisometer with a precision of +/- 0.01 meters measures a distance between two different points as 6.90 meters. Your calculator produces the output 286.971000000000 when multiplying the numbers. Using the right level of precision, what is the answer?
A. 286.971 meters^2
B. 286.97 meters^2
C. 287 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 30 meters takes a measurement of 28460 meters, and a measuring flask with a precision of +/- 0.002 liters measures a volume as 9.298 liters. Your calculator app produces the solution 264621.080000000000 when multiplying the two numbers. Using the proper level of precision, what is the answer?
A. 264621.0800 liter-meters
B. 264620 liter-meters
C. 264600 liter-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 4 meters takes a measurement of 846 meters, and a caliper with a precision of +/- 0.04 meters measures a distance between two different points as 0.04 meters. Using a computer, you multiply the former value by the latter and get the output 33.840000000000. How can we write this output to the right level of precision?
A. 30 meters^2
B. 33.8 meters^2
C. 33 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A graduated cylinder with a precision of +/- 0.002 liters measures a volume of 1.246 liters and a spring scale with a precision of +/- 200 grams reads 400 grams when measuring a mass. You multiply the former value by the latter with a calculator app and get the output 498.400000000000. If we round this output correctly with respect to the level of precision, what is the answer?
A. 500 gram-liters
B. 498.4 gram-liters
C. 400 gram-liters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 3 grams measures a mass of 6254 grams and a hydraulic scale with a precision of +/- 0.01 grams reads 0.01 grams when measuring a mass of a different object. Your calculator app gets the output 62.540000000000 when multiplying the first value by the second value. Using the appropriate number of significant figures, what is the result?
A. 62.5 grams^2
B. 62 grams^2
C. 60 grams^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A storage container with a precision of +/- 30 liters takes a measurement of 70570 liters, and a spring scale with a precision of +/- 0.0002 grams reads 0.0007 grams when measuring a mass. Using a calculator app, you multiply the two values and get the output 49.399000000000. How would this result look if we rounded it with the suitable level of precision?
A. 50 gram-liters
B. 49.4 gram-liters
C. 40 gram-liters
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 0.1 grams takes a measurement of 13.6 grams, and a measuring stick with a precision of +/- 0.1 meters measures a distance as 44.3 meters. Using a computer, you multiply the values and get the solution 602.480000000000. If we report this solution to the appropriate level of precision, what is the result?
A. 602.480 gram-meters
B. 602.5 gram-meters
C. 602 gram-meters
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A chronograph with a precision of +/- 0.2 seconds takes a measurement of 39.1 seconds, and a rangefinder with a precision of +/- 4 meters measures a distance as 4 meters. After multiplying the first number by the second number your computer gets the output 156.400000000000. How can we write this output to the appropriate number of significant figures?
A. 200 meter-seconds
B. 156 meter-seconds
C. 156.4 meter-seconds
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
An analytical balance with a precision of +/- 0.001 grams takes a measurement of 6.013 grams, and a stopwatch with a precision of +/- 0.4 seconds reads 8.7 seconds when measuring a duration. You multiply the two numbers with a computer and get the output 52.313100000000. When this output is written to the suitable number of significant figures, what do we get?
A. 52.31 gram-seconds
B. 52.3 gram-seconds
C. 52 gram-seconds
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A coincidence telemeter with a precision of +/- 3 meters measures a distance of 10 meters and a ruler with a precision of +/- 0.04 meters reads 60.38 meters when measuring a distance between two different points. Using a calculator, you multiply the numbers and get the solution 603.800000000000. How can we report this solution to the appropriate number of significant figures?
A. 603.80 meters^2
B. 603 meters^2
C. 600 meters^2
Answer: | [
" A",
" B",
" C"
] | 2 | 2 |
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---
A clickwheel with a precision of +/- 0.01 meters takes a measurement of 56.62 meters, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance between two different points as 85.2 meters. You multiply the numbers with a computer and get the solution 4824.024000000000. Using the suitable level of precision, what is the result?
A. 4820 meters^2
B. 4824.024 meters^2
C. 4824.0 meters^2
Answer: | [
" A",
" B",
" C"
] | 0 | 2 |
Subsets and Splits