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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).
---
A tape measure with a precision of +/- 0.004 meters measures a distance of 9.041 meters and a ruler with a precision of +/- 0.004 meters measures a distance between two different points as 0.007 meters. Using a calculator app, you multiply the former value by the latter and get the output 0.063287000000. How would this result look if we rounded it with the correct number of significant figures?
A. 0.06 meters^2
B. 0.063 meters^2
C. 0.1 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 takes a measurement of 38.10 seconds, and an opisometer with a precision of +/- 0.02 meters reads 83.64 meters when measuring a distance. Using a calculator, you multiply the former number by the latter and get the output 3186.684000000000. If we write this output properly with respect to the level of precision, what is the answer?
A. 3187 meter-seconds
B. 3186.6840 meter-seconds
C. 3186.68 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 spring scale with a precision of +/- 1000 grams measures a mass of 75000 grams and a balance with a precision of +/- 0.1 grams reads 0.7 grams when measuring a mass of a different object. Using a computer, you multiply the former value by the latter and get the output 52500.000000000000. If we report this output to the appropriate level of precision, what is the result?
A. 52500.0 grams^2
B. 52000 grams^2
C. 50000 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 chronograph with a precision of +/- 0.3 seconds measures a duration of 0.5 seconds and a spring scale with a precision of +/- 3000 grams reads 3720000 grams when measuring a mass. Your computer gets the output 1860000.000000000000 when multiplying the two numbers. If we report this output to the proper level of precision, what is the result?
A. 2000000 gram-seconds
B. 1860000.0 gram-seconds
C. 1860000 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 graduated cylinder with a precision of +/- 0.002 liters measures a volume of 0.908 liters and a stopwatch with a precision of +/- 0.03 seconds reads 92.21 seconds when measuring a duration. After multiplying the two values your computer gives the solution 83.726680000000. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 83.73 liter-seconds
B. 83.7 liter-seconds
C. 83.727 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 chronograph with a precision of +/- 0.04 seconds takes a measurement of 43.90 seconds, and an odometer with a precision of +/- 200 meters measures a distance as 1000 meters. You multiply the numbers with a calculator app and get the solution 43900.000000000000. Report this solution using the correct number of significant figures.
A. 43900 meter-seconds
B. 44000 meter-seconds
C. 43900.00 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 clickwheel with a precision of +/- 0.01 meters takes a measurement of 2.61 meters, and a hydraulic scale with a precision of +/- 0.3 grams measures a mass as 4.1 grams. Your calculator app yields the solution 10.701000000000 when multiplying the two values. When this solution is reported to the appropriate level of precision, what do we get?
A. 10.7 gram-meters
B. 11 gram-meters
C. 10.70 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 clickwheel with a precision of +/- 0.1 meters measures a distance of 6.5 meters and a coincidence telemeter with a precision of +/- 10 meters reads 90 meters when measuring a distance between two different points. Your computer gets the output 585.000000000000 when multiplying the two numbers. If we write this output properly with respect to the number of significant figures, what is the result?
A. 585.0 meters^2
B. 580 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 graduated cylinder with a precision of +/- 0.001 liters takes a measurement of 0.014 liters, and a storage container with a precision of +/- 2 liters reads 7455 liters when measuring a volume of a different quantity of liquid. Your computer gets the output 104.370000000000 when multiplying the first value by the second value. If we express this output correctly with respect to the level of precision, what is the result?
A. 104.37 liters^2
B. 104 liters^2
C. 100 liters^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 timer with a precision of +/- 0.1 seconds takes a measurement of 98.1 seconds, and a rangefinder with a precision of +/- 1 meters reads 601 meters when measuring a distance. You multiply the first value by the second value with a computer and get the output 58958.100000000000. Round this output using the proper number of significant figures.
A. 58958 meter-seconds
B. 58958.100 meter-seconds
C. 59000 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 timer with a precision of +/- 0.002 seconds measures a duration of 9.294 seconds and a Biltmore stick with a precision of +/- 0.4 meters reads 684.3 meters when measuring a distance. Your computer gets the output 6359.884200000000 when multiplying the values. If we express this output to the proper level of precision, what is the result?
A. 6360 meter-seconds
B. 6359.9 meter-seconds
C. 6359.8842 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 coincidence telemeter with a precision of +/- 100 meters takes a measurement of 613000 meters, and a coincidence telemeter with a precision of +/- 400 meters measures a distance between two different points as 611800 meters. You multiply the first number by the second number with a calculator app and get the solution 375033400000.000000000000. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 375033400000 meters^2
B. 375000000000 meters^2
C. 375033400000.0000 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).
---
A stadimeter with a precision of +/- 200 meters measures a distance of 961900 meters and a coincidence telemeter with a precision of +/- 40 meters reads 190 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the solution 182761000.000000000000. If we round this solution appropriately with respect to the level of precision, what is the result?
A. 182761000 meters^2
B. 180000000 meters^2
C. 182761000.00 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 +/- 0.03 meters measures a distance of 0.99 meters and a timer with a precision of +/- 0.4 seconds measures a duration as 608.4 seconds. Using a computer, you multiply the former value by the latter and get the output 602.316000000000. Using the appropriate level of precision, what is the result?
A. 600 meter-seconds
B. 602.3 meter-seconds
C. 602.32 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 +/- 0.2 seconds takes a measurement of 329.3 seconds, and a coincidence telemeter with a precision of +/- 2 meters measures a distance as 295 meters. Using a calculator, you multiply the first value by the second value and get the output 97143.500000000000. Report this output using the proper level of precision.
A. 97100 meter-seconds
B. 97143 meter-seconds
C. 97143.500 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 spring scale with a precision of +/- 1 grams takes a measurement of 5985 grams, and a clickwheel with a precision of +/- 0.004 meters measures a distance as 0.073 meters. After multiplying the two numbers your calculator app gets the solution 436.905000000000. Using the right number of significant figures, what is the answer?
A. 440 gram-meters
B. 436.90 gram-meters
C. 436 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 timer with a precision of +/- 0.4 seconds measures a duration of 70.4 seconds and a stopwatch with a precision of +/- 0.02 seconds measures a duration of a different event as 7.62 seconds. You multiply the former value by the latter with a computer and get the solution 536.448000000000. How would this result look if we rounded it with the right level of precision?
A. 536 seconds^2
B. 536.448 seconds^2
C. 536.4 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).
---
An odometer with a precision of +/- 100 meters measures a distance of 154000 meters and a spring scale with a precision of +/- 0.02 grams measures a mass as 3.62 grams. After multiplying the two values your calculator app gets the output 557480.000000000000. How can we express this output to the proper level of precision?
A. 557400 gram-meters
B. 557000 gram-meters
C. 557480.000 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 clickwheel with a precision of +/- 0.3 meters measures a distance of 57.3 meters and a timer with a precision of +/- 0.04 seconds measures a duration as 30.85 seconds. You multiply the first value by the second value with a calculator and get the output 1767.705000000000. If we write this output to the correct level of precision, what is the result?
A. 1767.7 meter-seconds
B. 1767.705 meter-seconds
C. 1770 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 clickwheel with a precision of +/- 0.1 meters measures a distance of 0.1 meters and a spring scale with a precision of +/- 1 grams measures a mass as 682 grams. Your computer produces the output 68.200000000000 when multiplying the values. How would this answer look if we rounded it with the right number of significant figures?
A. 68.2 gram-meters
B. 68 gram-meters
C. 70 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 +/- 200 grams takes a measurement of 444500 grams, and a caliper with a precision of +/- 0.002 meters reads 5.779 meters when measuring a distance. After multiplying the first number by the second number your calculator gives the solution 2568765.500000000000. When this solution is expressed to the proper level of precision, what do we get?
A. 2568700 gram-meters
B. 2569000 gram-meters
C. 2568765.5000 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 clickwheel with a precision of +/- 0.04 meters takes a measurement of 24.10 meters, and a hydraulic scale with a precision of +/- 100 grams reads 3800 grams when measuring a mass. After multiplying the two values your calculator app gets the output 91580.000000000000. How would this result look if we rounded it with the appropriate level of precision?
A. 92000 gram-meters
B. 91500 gram-meters
C. 91580.00 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 coincidence telemeter with a precision of +/- 20 meters takes a measurement of 480 meters, and a stopwatch with a precision of +/- 0.02 seconds measures a duration as 82.74 seconds. You multiply the values with a computer and get the solution 39715.200000000000. How can we express this solution to the correct level of precision?
A. 40000 meter-seconds
B. 39715.20 meter-seconds
C. 39710 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 +/- 100 meters measures a distance of 659900 meters and a Biltmore stick with a precision of +/- 0.01 meters reads 5.28 meters when measuring a distance between two different points. You multiply the numbers with a calculator and get the solution 3484272.000000000000. When this solution is rounded to the correct number of significant figures, what do we get?
A. 3484272.000 meters^2
B. 3480000 meters^2
C. 3484200 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 analytical balance with a precision of +/- 10 grams takes a measurement of 100 grams, and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.6812 meters. Your calculator app gives the solution 68.120000000000 when multiplying the first value by the second value. How can we round this solution to the suitable level of precision?
A. 60 gram-meters
B. 68 gram-meters
C. 68.12 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 chronograph with a precision of +/- 0.1 seconds measures a duration of 432.6 seconds and a storage container with a precision of +/- 1 liters measures a volume as 445 liters. You multiply the two numbers with a calculator and get the solution 192507.000000000000. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 193000 liter-seconds
B. 192507 liter-seconds
C. 192507.000 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 stopwatch with a precision of +/- 0.3 seconds measures a duration of 266.7 seconds and a chronograph with a precision of +/- 0.1 seconds measures a duration of a different event as 27.7 seconds. Your calculator produces the solution 7387.590000000000 when multiplying the values. Express this solution using the appropriate level of precision.
A. 7387.6 seconds^2
B. 7387.590 seconds^2
C. 7390 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 clickwheel with a precision of +/- 0.03 meters measures a distance of 0.09 meters and a stadimeter with a precision of +/- 3 meters measures a distance between two different points as 742 meters. After multiplying the first number by the second number your calculator app produces the solution 66.780000000000. How can we express this solution to the right level of precision?
A. 70 meters^2
B. 66.8 meters^2
C. 66 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 +/- 0.03 grams takes a measurement of 9.83 grams, and a coincidence telemeter with a precision of +/- 20 meters reads 46710 meters when measuring a distance. You multiply the values with a calculator app and get the solution 459159.300000000000. Round this solution using the suitable level of precision.
A. 459159.300 gram-meters
B. 459000 gram-meters
C. 459150 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 flask with a precision of +/- 0.001 liters takes a measurement of 3.158 liters, and a chronograph with a precision of +/- 0.3 seconds measures a duration as 913.3 seconds. After multiplying the first number by the second number your computer gives the output 2884.201400000000. If we report this output to the correct level of precision, what is the answer?
A. 2884 liter-seconds
B. 2884.2 liter-seconds
C. 2884.2014 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 caliper with a precision of +/- 0.003 meters measures a distance of 0.008 meters and a measuring flask with a precision of +/- 0.004 liters measures a volume as 8.961 liters. You multiply the first number by the second number with a calculator and get the solution 0.071688000000. If we report this solution appropriately with respect to the number of significant figures, what is the answer?
A. 0.07 liter-meters
B. 0.1 liter-meters
C. 0.072 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 stadimeter with a precision of +/- 1 meters measures a distance of 55 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 2.274 liters when measuring a volume. You multiply the two numbers with a calculator app and get the output 125.070000000000. If we report this output suitably with respect to the number of significant figures, what is the result?
A. 125 liter-meters
B. 130 liter-meters
C. 125.07 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).
---
An odometer with a precision of +/- 300 meters measures a distance of 831700 meters and a measuring flask with a precision of +/- 0.003 liters reads 0.863 liters when measuring a volume. You multiply the former number by the latter with a computer and get the output 717757.100000000000. When this output is rounded to the correct number of significant figures, what do we get?
A. 718000 liter-meters
B. 717700 liter-meters
C. 717757.100 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 caliper with a precision of +/- 0.04 meters takes a measurement of 71.53 meters, and an opisometer with a precision of +/- 1 meters measures a distance between two different points as 965 meters. You multiply the first value by the second value with a calculator and get the output 69026.450000000000. When this output is written to the correct number of significant figures, what do we get?
A. 69026.450 meters^2
B. 69026 meters^2
C. 69000 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 measuring stick with a precision of +/- 0.4 meters takes a measurement of 1.6 meters, and a measuring flask with a precision of +/- 0.02 liters reads 81.77 liters when measuring a volume. You multiply the two values with a computer and get the output 130.832000000000. If we express this output appropriately with respect to the level of precision, what is the result?
A. 130 liter-meters
B. 130.8 liter-meters
C. 130.83 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 coincidence telemeter with a precision of +/- 10 meters measures a distance of 20 meters and a coincidence telemeter with a precision of +/- 3 meters reads 996 meters when measuring a distance between two different points. You multiply the former number by the latter with a computer and get the output 19920.000000000000. If we report this output to the appropriate level of precision, what is the answer?
A. 20000 meters^2
B. 19920 meters^2
C. 19920.0 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 radar-based method with a precision of +/- 300 meters takes a measurement of 5900 meters, and a stadimeter with a precision of +/- 4 meters measures a distance between two different points as 9 meters. Using a calculator app, you multiply the former value by the latter and get the solution 53100.000000000000. How can we report this solution to the proper level of precision?
A. 53100.0 meters^2
B. 50000 meters^2
C. 53100 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 +/- 4 meters takes a measurement of 219 meters, and a measuring flask with a precision of +/- 0.001 liters reads 0.391 liters when measuring a volume. You multiply the two values with a calculator app and get the solution 85.629000000000. How would this result look if we expressed it with the appropriate number of significant figures?
A. 85.629 liter-meters
B. 85.6 liter-meters
C. 85 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 hydraulic scale with a precision of +/- 0.3 grams measures a mass of 1.3 grams and a meter stick with a precision of +/- 0.0001 meters reads 0.0424 meters when measuring a distance. Your calculator gives the output 0.055120000000 when multiplying the two numbers. If we write this output correctly with respect to the level of precision, what is the result?
A. 0.055 gram-meters
B. 0.1 gram-meters
C. 0.06 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 +/- 400 grams takes a measurement of 255100 grams, and a measuring stick with a precision of +/- 0.3 meters measures a distance as 1.6 meters. Using a calculator app, you multiply the numbers and get the solution 408160.000000000000. Write this solution using the correct number of significant figures.
A. 408160.00 gram-meters
B. 408100 gram-meters
C. 410000 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 +/- 0.2 meters measures a distance of 2.2 meters and a hydraulic scale with a precision of +/- 200 grams reads 40600 grams when measuring a mass. Using a computer, you multiply the former number by the latter and get the solution 89320.000000000000. Using the appropriate number of significant figures, what is the answer?
A. 89320.00 gram-meters
B. 89000 gram-meters
C. 89300 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 timer with a precision of +/- 0.4 seconds takes a measurement of 0.2 seconds, and an odometer with a precision of +/- 100 meters reads 57700 meters when measuring a distance. Using a computer, you multiply the former value by the latter and get the solution 11540.000000000000. If we express this solution correctly with respect to the level of precision, what is the answer?
A. 11540.0 meter-seconds
B. 10000 meter-seconds
C. 11500 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 ruler with a precision of +/- 0.03 meters takes a measurement of 5.59 meters, and a rangefinder with a precision of +/- 2 meters measures a distance between two different points as 4206 meters. Using a calculator, you multiply the two numbers and get the output 23511.540000000000. How would this answer look if we rounded it with the right level of precision?
A. 23500 meters^2
B. 23511.540 meters^2
C. 23511 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 stick with a precision of +/- 0.04 meters measures a distance of 0.83 meters and an odometer with a precision of +/- 3000 meters reads 55000 meters when measuring a distance between two different points. Using a calculator app, you multiply the values and get the output 45650.000000000000. Express this output using the proper number of significant figures.
A. 45000 meters^2
B. 46000 meters^2
C. 45650.00 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 analytical balance with a precision of +/- 40 grams measures a mass of 19160 grams and a measuring flask with a precision of +/- 0.03 liters reads 0.06 liters when measuring a volume. Your calculator app yields the output 1149.600000000000 when multiplying the former number by the latter. Write this output using the suitable number of significant figures.
A. 1149.6 gram-liters
B. 1140 gram-liters
C. 1000 gram-liters
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 tape measure with a precision of +/- 0.002 meters takes a measurement of 0.062 meters, and a storage container with a precision of +/- 40 liters reads 2380 liters when measuring a volume. After multiplying the first number by the second number your calculator yields the solution 147.560000000000. Using the suitable number of significant figures, what is the result?
A. 150 liter-meters
B. 140 liter-meters
C. 147.56 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 caliper with a precision of +/- 0.003 meters takes a measurement of 0.196 meters, and a spring scale with a precision of +/- 3000 grams reads 8000 grams when measuring a mass. Your computer gets the output 1568.000000000000 when multiplying the first number by the second number. When this output is written to the suitable number of significant figures, what do we get?
A. 1568.0 gram-meters
B. 2000 gram-meters
C. 1000 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 timer with a precision of +/- 0.02 seconds measures a duration of 35.36 seconds and a coincidence telemeter with a precision of +/- 3 meters reads 6 meters when measuring a distance. You multiply the first number by the second number with a computer and get the solution 212.160000000000. Using the correct number of significant figures, what is the answer?
A. 200 meter-seconds
B. 212 meter-seconds
C. 212.2 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 stadimeter with a precision of +/- 2 meters takes a measurement of 40 meters, and a caliper with a precision of +/- 0.01 meters measures a distance between two different points as 90.40 meters. After multiplying the first value by the second value your calculator yields the solution 3616.000000000000. How would this answer look if we expressed it with the proper level of precision?
A. 3616.00 meters^2
B. 3616 meters^2
C. 3600 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 timer with a precision of +/- 0.001 seconds measures a duration of 0.585 seconds and a measuring tape with a precision of +/- 0.03 meters reads 75.43 meters when measuring a distance. You multiply the two numbers with a calculator app and get the solution 44.126550000000. Using the correct number of significant figures, what is the result?
A. 44.127 meter-seconds
B. 44.1 meter-seconds
C. 44.13 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 +/- 30 meters measures a distance of 720 meters and a ruler with a precision of +/- 0.02 meters reads 0.15 meters when measuring a distance between two different points. Your computer gets the solution 108.000000000000 when multiplying the former number by the latter. Express this solution using the appropriate level of precision.
A. 100 meters^2
B. 110 meters^2
C. 108.00 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 +/- 200 meters measures a distance of 63100 meters and a balance with a precision of +/- 0.03 grams reads 0.74 grams when measuring a mass. You multiply the first value by the second value with a computer and get the output 46694.000000000000. If we write this output to the suitable level of precision, what is the result?
A. 47000 gram-meters
B. 46694.00 gram-meters
C. 46600 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).
---
An analytical balance with a precision of +/- 400 grams takes a measurement of 88700 grams, and a caliper with a precision of +/- 0.003 meters measures a distance as 0.100 meters. Your calculator app gets the solution 8870.000000000000 when multiplying the values. Express this solution using the correct level of precision.
A. 8870 gram-meters
B. 8800 gram-meters
C. 8870.000 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 stadimeter with a precision of +/- 0.1 meters takes a measurement of 5.6 meters, and a stadimeter with a precision of +/- 0.3 meters measures a distance between two different points as 2.6 meters. Your calculator app yields the solution 14.560000000000 when multiplying the former value by the latter. How would this answer look if we reported it with the suitable level of precision?
A. 14.6 meters^2
B. 14.56 meters^2
C. 15 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 tape measure with a precision of +/- 0.003 meters takes a measurement of 0.006 meters, and a storage container with a precision of +/- 20 liters reads 59100 liters when measuring a volume. After multiplying the former value by the latter your calculator produces the output 354.600000000000. Report this output using the proper number of significant figures.
A. 354.6 liter-meters
B. 400 liter-meters
C. 350 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 radar-based method with a precision of +/- 100 meters takes a measurement of 863500 meters, and an opisometer with a precision of +/- 3 meters measures a distance between two different points as 6 meters. Using a calculator app, you multiply the two numbers and get the output 5181000.000000000000. If we express this output properly with respect to the level of precision, what is the answer?
A. 5181000.0 meters^2
B. 5000000 meters^2
C. 5181000 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 clickwheel with a precision of +/- 0.3 meters takes a measurement of 1.0 meters, and a timer with a precision of +/- 0.3 seconds reads 878.1 seconds when measuring a duration. After multiplying the numbers your calculator gives the solution 878.100000000000. Using the proper number of significant figures, what is the result?
A. 878.1 meter-seconds
B. 878.10 meter-seconds
C. 880 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 radar-based method with a precision of +/- 100 meters takes a measurement of 800 meters, and a measuring stick with a precision of +/- 0.01 meters reads 45.05 meters when measuring a distance between two different points. After multiplying the two numbers your calculator yields the output 36040.000000000000. When this output is expressed to the suitable number of significant figures, what do we get?
A. 36000 meters^2
B. 36040.0 meters^2
C. 40000 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 +/- 30 grams takes a measurement of 1100 grams, and a tape measure with a precision of +/- 0.001 meters reads 0.034 meters when measuring a distance. Using a calculator, you multiply the first number by the second number and get the output 37.400000000000. How can we report this output to the correct level of precision?
A. 30 gram-meters
B. 37 gram-meters
C. 37.40 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 balance with a precision of +/- 3 grams measures a mass of 407 grams and a stopwatch with a precision of +/- 0.02 seconds reads 55.10 seconds when measuring a duration. After multiplying the numbers your calculator app produces the solution 22425.700000000000. If we write this solution to the appropriate number of significant figures, what is the result?
A. 22425.700 gram-seconds
B. 22425 gram-seconds
C. 22400 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 stadimeter with a precision of +/- 4 meters measures a distance of 5257 meters and a storage container with a precision of +/- 4 liters measures a volume as 68 liters. Your computer gives the output 357476.000000000000 when multiplying the first number by the second number. Using the appropriate level of precision, what is the result?
A. 357476 liter-meters
B. 360000 liter-meters
C. 357476.00 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 radar-based method with a precision of +/- 2 meters measures a distance of 7 meters and a measuring flask with a precision of +/- 0.04 liters reads 0.22 liters when measuring a volume. Using a calculator, you multiply the first number by the second number and get the solution 1.540000000000. When this solution is expressed to the right level of precision, what do we get?
A. 1 liter-meters
B. 2 liter-meters
C. 1.5 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 ruler with a precision of +/- 0.003 meters takes a measurement of 0.241 meters, and a hydraulic scale with a precision of +/- 0.02 grams measures a mass as 95.01 grams. After multiplying the former value by the latter your computer yields the output 22.897410000000. How would this result look if we reported it with the correct level of precision?
A. 22.90 gram-meters
B. 22.897 gram-meters
C. 22.9 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 clickwheel with a precision of +/- 0.1 meters measures a distance of 26.4 meters and a radar-based method with a precision of +/- 100 meters measures a distance between two different points as 88500 meters. Your calculator gives the solution 2336400.000000000000 when multiplying the first number by the second number. Using the right level of precision, what is the answer?
A. 2336400 meters^2
B. 2336400.000 meters^2
C. 2340000 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 caliper with a precision of +/- 0.02 meters takes a measurement of 0.08 meters, and a radar-based method with a precision of +/- 10 meters measures a distance between two different points as 830 meters. Using a computer, you multiply the former number by the latter and get the solution 66.400000000000. Using the suitable level of precision, what is the answer?
A. 70 meters^2
B. 60 meters^2
C. 66.4 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 +/- 400 grams takes a measurement of 709500 grams, and an opisometer with a precision of +/- 4 meters reads 6 meters when measuring a distance. Using a calculator app, you multiply the first number by the second number and get the output 4257000.000000000000. How can we express this output to the suitable number of significant figures?
A. 4257000 gram-meters
B. 4000000 gram-meters
C. 4257000.0 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 timer with a precision of +/- 0.2 seconds measures a duration of 31.7 seconds and a timer with a precision of +/- 0.04 seconds measures a duration of a different event as 96.37 seconds. Using a calculator, you multiply the first value by the second value and get the solution 3054.929000000000. How would this result look if we expressed it with the suitable level of precision?
A. 3054.929 seconds^2
B. 3054.9 seconds^2
C. 3050 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 timer with a precision of +/- 0.004 seconds measures a duration of 0.349 seconds and a clickwheel with a precision of +/- 0.03 meters measures a distance as 59.22 meters. After multiplying the two numbers your computer gives the output 20.667780000000. Report this output using the suitable level of precision.
A. 20.668 meter-seconds
B. 20.67 meter-seconds
C. 20.7 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 measuring tape with a precision of +/- 0.03 meters takes a measurement of 6.29 meters, and a spring scale with a precision of +/- 1000 grams reads 7189000 grams when measuring a mass. Your calculator gets the solution 45218810.000000000000 when multiplying the numbers. When this solution is reported to the suitable level of precision, what do we get?
A. 45218000 gram-meters
B. 45200000 gram-meters
C. 45218810.000 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 +/- 4000 meters takes a measurement of 207000 meters, and a chronograph with a precision of +/- 0.4 seconds reads 0.3 seconds when measuring a duration. Using a calculator, you multiply the two values and get the output 62100.000000000000. How can we report this output to the suitable number of significant figures?
A. 62100.0 meter-seconds
B. 62000 meter-seconds
C. 60000 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 stadimeter with a precision of +/- 40 meters takes a measurement of 60 meters, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance between two different points as 99.2 meters. Your computer produces the output 5952.000000000000 when multiplying the numbers. How can we write this output to the correct level of precision?
A. 5952.0 meters^2
B. 5950 meters^2
C. 6000 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 measuring tape with a precision of +/- 0.03 meters measures a distance of 58.51 meters and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.08 meters. Your calculator yields the output 4.680800000000 when multiplying the two numbers. How would this result look if we wrote it with the appropriate number of significant figures?
A. 5 meters^2
B. 4.7 meters^2
C. 4.68 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 0.91 seconds and an odometer with a precision of +/- 200 meters reads 400 meters when measuring a distance. You multiply the first number by the second number with a computer and get the solution 364.000000000000. When this solution is written to the appropriate level of precision, what do we get?
A. 300 meter-seconds
B. 400 meter-seconds
C. 364.0 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 hydraulic scale with a precision of +/- 10 grams measures a mass of 570 grams and a measuring stick with a precision of +/- 0.002 meters reads 7.404 meters when measuring a distance. Using a calculator, you multiply the former number by the latter and get the solution 4220.280000000000. Write this solution using the right level of precision.
A. 4220.28 gram-meters
B. 4200 gram-meters
C. 4220 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 +/- 0.3 liters measures a volume of 79.5 liters and a chronograph with a precision of +/- 0.02 seconds measures a duration as 0.62 seconds. Using a calculator, you multiply the first number by the second number and get the solution 49.290000000000. If we express this solution to the correct number of significant figures, what is the result?
A. 49 liter-seconds
B. 49.3 liter-seconds
C. 49.29 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).
---
An odometer with a precision of +/- 1000 meters takes a measurement of 23000 meters, and a tape measure with a precision of +/- 0.0002 meters reads 0.0732 meters when measuring a distance between two different points. You multiply the numbers with a calculator and get the output 1683.600000000000. How can we round this output to the proper number of significant figures?
A. 1683.60 meters^2
B. 1000 meters^2
C. 1700 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 biltmore stick with a precision of +/- 0.01 meters takes a measurement of 44.78 meters, and a timer with a precision of +/- 0.03 seconds reads 0.06 seconds when measuring a duration. Your computer yields the solution 2.686800000000 when multiplying the values. If we round this solution appropriately with respect to the number of significant figures, what is the answer?
A. 2.69 meter-seconds
B. 2.7 meter-seconds
C. 3 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 coincidence telemeter with a precision of +/- 3 meters measures a distance of 26 meters and a coincidence telemeter with a precision of +/- 2 meters measures a distance between two different points as 8 meters. Using a computer, you multiply the numbers and get the output 208.000000000000. Using the proper number of significant figures, what is the answer?
A. 208 meters^2
B. 200 meters^2
C. 208.0 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 coincidence telemeter with a precision of +/- 400 meters takes a measurement of 973100 meters, and a measuring rod with a precision of +/- 0.02 meters measures a distance between two different points as 0.03 meters. You multiply the former value by the latter with a computer and get the solution 29193.000000000000. Express this solution using the correct level of precision.
A. 29193.0 meters^2
B. 29100 meters^2
C. 30000 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 spring scale with a precision of +/- 0.02 grams takes a measurement of 0.92 grams, and a hydraulic scale with a precision of +/- 100 grams reads 34300 grams when measuring a mass of a different object. After multiplying the first number by the second number your computer gets the output 31556.000000000000. Round this output using the right number of significant figures.
A. 31556.00 grams^2
B. 31500 grams^2
C. 32000 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 timer with a precision of +/- 0.03 seconds takes a measurement of 43.92 seconds, and an odometer with a precision of +/- 100 meters measures a distance as 989000 meters. You multiply the two values with a computer and get the output 43436880.000000000000. When this output is reported to the suitable number of significant figures, what do we get?
A. 43436800 meter-seconds
B. 43436880.0000 meter-seconds
C. 43440000 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 meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0242 meters, and a hydraulic scale with a precision of +/- 1 grams measures a mass as 60 grams. After multiplying the first number by the second number your calculator produces the output 1.452000000000. How can we express this output to the proper level of precision?
A. 1.45 gram-meters
B. 1.5 gram-meters
C. 1 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 radar-based method with a precision of +/- 10 meters measures a distance of 80 meters and a tape measure with a precision of +/- 0.004 meters reads 7.625 meters when measuring a distance between two different points. After multiplying the former value by the latter your computer gives the output 610.000000000000. If we write this output appropriately with respect to the number of significant figures, what is the result?
A. 610.0 meters^2
B. 600 meters^2
C. 610 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 +/- 0.03 liters takes a measurement of 51.57 liters, and a balance with a precision of +/- 200 grams measures a mass as 200 grams. You multiply the two numbers with a calculator and get the output 10314.000000000000. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 10300 gram-liters
B. 10314.0 gram-liters
C. 10000 gram-liters
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 +/- 4000 meters measures a distance of 7922000 meters and a storage container with a precision of +/- 0.1 liters measures a volume as 53.2 liters. Your calculator produces the solution 421450400.000000000000 when multiplying the first value by the second value. Using the suitable level of precision, what is the result?
A. 421450000 liter-meters
B. 421000000 liter-meters
C. 421450400.000 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 spring scale with a precision of +/- 30 grams takes a measurement of 3350 grams, and a radar-based method with a precision of +/- 40 meters measures a distance as 60 meters. Using a calculator, you multiply the first number by the second number and get the solution 201000.000000000000. Round this solution using the appropriate number of significant figures.
A. 200000 gram-meters
B. 201000.0 gram-meters
C. 201000 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 +/- 1 meters takes a measurement of 371 meters, and a graduated cylinder with a precision of +/- 0.003 liters reads 0.035 liters when measuring a volume. After multiplying the values your calculator app gets the output 12.985000000000. If we express this output correctly with respect to the level of precision, what is the result?
A. 12 liter-meters
B. 13 liter-meters
C. 12.98 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 measuring tape with a precision of +/- 0.3 meters measures a distance of 39.6 meters and a clickwheel with a precision of +/- 0.01 meters measures a distance between two different points as 72.24 meters. You multiply the first value by the second value with a calculator app and get the output 2860.704000000000. Using the suitable level of precision, what is the result?
A. 2860.704 meters^2
B. 2860.7 meters^2
C. 2860 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 balance with a precision of +/- 10 grams takes a measurement of 94870 grams, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 0.49 liters. Your calculator produces the solution 46486.300000000000 when multiplying the two values. How would this answer look if we wrote it with the right level of precision?
A. 46000 gram-liters
B. 46480 gram-liters
C. 46486.30 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 clickwheel with a precision of +/- 0.3 meters takes a measurement of 369.2 meters, and a rangefinder with a precision of +/- 1 meters measures a distance between two different points as 2 meters. Your calculator gives the solution 738.400000000000 when multiplying the first number by the second number. When this solution is expressed to the appropriate number of significant figures, what do we get?
A. 738.4 meters^2
B. 700 meters^2
C. 738 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 analytical balance with a precision of +/- 0.03 grams takes a measurement of 24.70 grams, and a stopwatch with a precision of +/- 0.03 seconds reads 2.09 seconds when measuring a duration. Using a computer, you multiply the two values and get the solution 51.623000000000. Round this solution using the appropriate level of precision.
A. 51.6 gram-seconds
B. 51.623 gram-seconds
C. 51.62 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 cathetometer with a precision of +/- 0.00003 meters takes a measurement of 0.00878 meters, and a measuring rod with a precision of +/- 0.02 meters reads 1.45 meters when measuring a distance between two different points. Using a computer, you multiply the first number by the second number and get the output 0.012731000000. How would this answer look if we wrote it with the proper level of precision?
A. 0.01 meters^2
B. 0.013 meters^2
C. 0.0127 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 +/- 40 meters takes a measurement of 6300 meters, and a stopwatch with a precision of +/- 0.03 seconds reads 13.74 seconds when measuring a duration. You multiply the numbers with a calculator app and get the solution 86562.000000000000. How can we express this solution to the correct level of precision?
A. 86600 meter-seconds
B. 86562.000 meter-seconds
C. 86560 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 balance with a precision of +/- 200 grams takes a measurement of 83600 grams, and a cathetometer with a precision of +/- 0.00001 meters reads 0.00760 meters when measuring a distance. You multiply the two values with a calculator app and get the solution 635.360000000000. Report this solution using the correct number of significant figures.
A. 635.360 gram-meters
B. 635 gram-meters
C. 600 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 +/- 0.4 meters takes a measurement of 523.3 meters, and a rangefinder with a precision of +/- 0.1 meters measures a distance between two different points as 3.0 meters. You multiply the numbers with a calculator and get the solution 1569.900000000000. If we write this solution to the proper level of precision, what is the result?
A. 1569.90 meters^2
B. 1569.9 meters^2
C. 1600 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 +/- 30 liters measures a volume of 7380 liters and a measuring tape with a precision of +/- 0.01 meters measures a distance as 86.55 meters. Your calculator gives the output 638739.000000000000 when multiplying the first number by the second number. Report this output using the correct level of precision.
A. 638730 liter-meters
B. 638739.000 liter-meters
C. 639000 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 stadimeter with a precision of +/- 10 meters takes a measurement of 280 meters, and a chronograph with a precision of +/- 0.001 seconds reads 0.298 seconds when measuring a duration. You multiply the numbers with a calculator app and get the output 83.440000000000. Using the correct level of precision, what is the answer?
A. 80 meter-seconds
B. 83.44 meter-seconds
C. 83 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 chronometer with a precision of +/- 0.0002 seconds takes a measurement of 0.5138 seconds, and an odometer with a precision of +/- 300 meters reads 983200 meters when measuring a distance. Using a computer, you multiply the first number by the second number and get the output 505168.160000000000. How would this answer look if we reported it with the proper number of significant figures?
A. 505168.1600 meter-seconds
B. 505200 meter-seconds
C. 505100 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 measuring tape with a precision of +/- 0.3 meters takes a measurement of 4.6 meters, and an analytical balance with a precision of +/- 10 grams measures a mass as 570 grams. You multiply the numbers with a calculator and get the solution 2622.000000000000. When this solution is rounded to the appropriate level of precision, what do we get?
A. 2622.00 gram-meters
B. 2620 gram-meters
C. 2600 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 +/- 200 meters measures a distance of 93400 meters and a meter stick with a precision of +/- 0.0004 meters reads 0.0015 meters when measuring a distance between two different points. Your calculator gives the solution 140.100000000000 when multiplying the first value by the second value. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 100 meters^2
B. 140 meters^2
C. 140.10 meters^2
Answer: | [
" A",
" B",
" C"
] | 1 | 2 |
Subsets and Splits