Datasets:

Albertmade

/

sig-figs

like 0

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 10 liters measures a volume of 8910 liters and a tape measure with a precision of +/- 0.004 meters reads 0.002 meters when measuring a distance. Using a computer, you divide the former value by the latter and get the output. Report this output using the right number of significant figures. A. 4455000.0 liters/meter B. 4455000 liters/meter C. 4000000 liters/meter Answer:

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 1.87 meters, and a ruler with a precision of +/- 0.03 meters reads 55.04 meters when measuring a distance between two different points. After multiplying the two numbers your computer produces the solution. How would this answer look if we expressed it with the appropriate number of significant figures? A. 103 meters^2 B. 102.925 meters^2 C. 102.92 meters^2 Answer:

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 +/- 0.02 meters measures a distance of 0.24 meters and a stopwatch with a precision of +/- 0.4 seconds measures a duration as 626.3 seconds. Using a computer, you multiply the first value by the second value and get the output. If we round this output to the suitable number of significant figures, what is the answer? A. 150.3 meter-seconds B. 150 meter-seconds C. 150.31 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 0.01 meters measures a distance of 8.93 meters and a storage container with a precision of +/- 2 liters measures a volume as 449 liters. Your calculator app gives the output when multiplying the numbers. If we round this output properly with respect to the number of significant figures, what is the answer? A. 4009.570 liter-meters B. 4009 liter-meters C. 4010 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 3 liters measures a volume of 421 liters and a chronograph with a precision of +/- 0.01 seconds measures a duration as 0.72 seconds. You multiply the former number by the latter with a computer and get the solution. How can we round this solution to the right level of precision? A. 303.12 liter-seconds B. 300 liter-seconds C. 303 liter-seconds Answer:

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 +/- 0.003 grams takes a measurement of 0.004 grams, and a ruler with a precision of +/- 0.0001 meters measures a distance as 0.0016 meters. Your calculator produces the solution when dividing the first value by the second value. If we report this solution suitably with respect to the number of significant figures, what is the result? A. 2.5 grams/meter B. 2.500 grams/meter C. 2 grams/meter Answer:

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 +/- 0.4 meters measures a distance of 373.1 meters and an opisometer with a precision of +/- 2 meters reads 4608 meters when measuring a distance between two different points. You multiply the two values with a calculator app and get the output. If we express this output to the suitable number of significant figures, what is the answer? A. 1719244 meters^2 B. 1719244.8000 meters^2 C. 1719000 meters^2 Answer:

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 +/- 0.1 meters takes a measurement of 39.8 meters, and a chronometer with a precision of +/- 0.0004 seconds reads 0.0628 seconds when measuring a duration. Your calculator gets the output when dividing the values. When this output is expressed to the correct level of precision, what do we get? A. 633.758 meters/second B. 634 meters/second C. 633.8 meters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 2 meters measures a distance of 4423 meters and a hydraulic scale with a precision of +/- 0.4 grams reads 0.1 grams when measuring a mass. Your calculator yields the output when multiplying the numbers. Using the appropriate number of significant figures, what is the answer? A. 442 gram-meters B. 400 gram-meters C. 442.3 gram-meters Answer:

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 856000 meters, and a clickwheel with a precision of +/- 0.03 meters reads 0.05 meters when measuring a distance between two different points. You divide the two numbers with a calculator app and get the solution. When this solution is expressed to the correct number of significant figures, what do we get? A. 20000000 B. 17120000 C. 17120000.0 Answer:

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 +/- 0.002 meters takes a measurement of 0.090 meters, and a measuring rod with a precision of +/- 0.03 meters reads 0.08 meters when measuring a distance between two different points. Using a calculator, you divide the two numbers and get the solution. Report this solution using the suitable level of precision. A. 1.1 B. 1 C. 1.12 Answer:

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 measures a distance of 329000 meters and a measuring tape with a precision of +/- 0.03 meters reads 71.55 meters when measuring a distance between two different points. You multiply the first number by the second number with a calculator and get the output. Using the right level of precision, what is the answer? A. 23539950.000 meters^2 B. 23500000 meters^2 C. 23539000 meters^2 Answer:

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 1900 meters and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 7.159 liters. Your calculator produces the output when dividing the two numbers. How can we round this output to the correct number of significant figures? A. 200 meters/liter B. 265.40 meters/liter C. 270 meters/liter Answer:

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 +/- 0.0001 meters takes a measurement of 0.1155 meters, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 62.09 liters. After multiplying the former value by the latter your calculator app produces the output. Using the suitable level of precision, what is the result? A. 7.1714 liter-meters B. 7.171 liter-meters C. 7.17 liter-meters Answer:

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 +/- 0.2 grams measures a mass of 533.6 grams and a measuring flask with a precision of +/- 0.03 liters reads 0.89 liters when measuring a volume. You divide the former value by the latter with a calculator and get the solution. How can we report this solution to the suitable level of precision? A. 599.6 grams/liter B. 600 grams/liter C. 599.55 grams/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 200 grams measures a mass of 2000 grams and a measuring stick with a precision of +/- 0.002 meters measures a distance as 7.364 meters. You divide the two numbers with a calculator and get the output. When this output is reported to the correct level of precision, what do we get? A. 271.59 grams/meter B. 270 grams/meter C. 200 grams/meter Answer:

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 600 meters and a storage container with a precision of +/- 10 liters measures a volume as 60 liters. After multiplying the values your calculator gets the output. Using the suitable number of significant figures, what is the result? A. 36000 liter-meters B. 40000 liter-meters C. 36000.0 liter-meters Answer:

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 +/- 0.003 seconds measures a duration of 0.055 seconds and an analytical balance with a precision of +/- 0.0002 grams measures a mass as 0.0004 grams. Your calculator app gives the solution when dividing the two numbers. If we report this solution appropriately with respect to the level of precision, what is the answer? A. 100 seconds/gram B. 137.5 seconds/gram C. 137.500 seconds/gram Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 1 liters takes a measurement of 649 liters, and a stopwatch with a precision of +/- 0.2 seconds reads 0.9 seconds when measuring a duration. Your calculator app gives the solution when multiplying the two numbers. Using the right number of significant figures, what is the result? A. 600 liter-seconds B. 584.1 liter-seconds C. 584 liter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.2 meters takes a measurement of 0.7 meters, and a radar-based method with a precision of +/- 400 meters measures a distance between two different points as 34100 meters. You multiply the first value by the second value with a calculator and get the solution. When this solution is rounded to the appropriate number of significant figures, what do we get? A. 23870.0 meters^2 B. 23800 meters^2 C. 20000 meters^2 Answer:

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 0.3 seconds and a rangefinder with a precision of +/- 30 meters measures a distance as 18270 meters. After multiplying the two numbers your computer yields the solution. How would this answer look if we reported it with the appropriate level of precision? A. 5481.0 meter-seconds B. 5000 meter-seconds C. 5480 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.2 meters measures a distance of 0.1 meters and an odometer with a precision of +/- 1000 meters reads 1795000 meters when measuring a distance between two different points. After multiplying the former number by the latter your computer gives the output. How can we report this output to the correct number of significant figures? A. 179000 meters^2 B. 179500.0 meters^2 C. 200000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 2 meters takes a measurement of 68 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 0.006 liters when measuring a volume. After dividing the two values your calculator gives the solution. How would this result look if we expressed it with the proper number of significant figures? A. 10000 meters/liter B. 11333.3 meters/liter C. 11333 meters/liter Answer:

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 +/- 0.0004 meters takes a measurement of 0.0052 meters, and a hydraulic scale with a precision of +/- 4000 grams measures a mass as 735000 grams. Your calculator app yields the output when multiplying the numbers. If we write this output to the right level of precision, what is the result? A. 3000 gram-meters B. 3822.00 gram-meters C. 3800 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.0001 meters takes a measurement of 0.0026 meters, and a cathetometer with a precision of +/- 0.0003 meters reads 0.0622 meters when measuring a distance between two different points. You divide the former number by the latter with a computer and get the output. If we report this output to the appropriate number of significant figures, what is the answer? A. 0.04 B. 0.042 C. 0.0418 Answer:

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 +/- 100 grams measures a mass of 64300 grams and a hydraulic scale with a precision of +/- 30 grams reads 800 grams when measuring a mass of a different object. After multiplying the numbers your computer produces the output. When this output is written to the right number of significant figures, what do we get? A. 51440000.00 grams^2 B. 51440000 grams^2 C. 51000000 grams^2 Answer:

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 +/- 300 grams takes a measurement of 8300 grams, and a measuring stick with a precision of +/- 0.2 meters measures a distance as 0.6 meters. Using a calculator, you multiply the numbers and get the output. How would this result look if we rounded it with the proper number of significant figures? A. 5000 gram-meters B. 4980.0 gram-meters C. 4900 gram-meters Answer:

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 951700 meters, and a graduated cylinder with a precision of +/- 0.002 liters reads 0.001 liters when measuring a volume. Your calculator app produces the output when dividing the two values. Using the suitable level of precision, what is the answer? A. 1000000000 meters/liter B. 951700000.0 meters/liter C. 951700000 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 3.140 liters and an analytical balance with a precision of +/- 0.0004 grams measures a mass as 0.0004 grams. Using a computer, you divide the first number by the second number and get the solution. Round this solution using the right number of significant figures. A. 7850.0 liters/gram B. 8000 liters/gram C. 7850.000 liters/gram Answer:

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 +/- 0.0001 meters takes a measurement of 0.0010 meters, and a coincidence telemeter with a precision of +/- 400 meters measures a distance between two different points as 435800 meters. After multiplying the two values your calculator app gives the output. Using the correct level of precision, what is the result? A. 440 meters^2 B. 400 meters^2 C. 435.80 meters^2 Answer:

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 +/- 0.003 meters measures a distance of 0.226 meters and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.076 liters. You divide the two values with a computer and get the output. How can we express this output to the correct number of significant figures? A. 2.97 meters/liter B. 2.974 meters/liter C. 3.0 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A spring scale with a precision of +/- 40 grams measures a mass of 7750 grams and a Biltmore stick with a precision of +/- 0.02 meters reads 0.55 meters when measuring a distance. You multiply the first number by the second number with a calculator app and get the solution. Using the appropriate level of precision, what is the answer? A. 4262.50 gram-meters B. 4300 gram-meters C. 4260 gram-meters Answer:

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 450 grams, and a hydraulic scale with a precision of +/- 0.04 grams reads 42.13 grams when measuring a mass of a different object. You multiply the first number by the second number with a calculator app and get the output. Using the appropriate number of significant figures, what is the result? A. 19000 grams^2 B. 18958 grams^2 C. 18958.500 grams^2 Answer:

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 takes a measurement of 7900 meters, and a chronometer with a precision of +/- 0.00001 seconds reads 0.09007 seconds when measuring a duration. Your calculator app yields the output when dividing the two values. Express this output using the suitable level of precision. A. 88000 meters/second B. 87709.56 meters/second C. 87700 meters/second Answer:

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 9120 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 0.60 meters when measuring a distance between two different points. Your calculator produces the output when dividing the former number by the latter. If we express this output correctly with respect to the number of significant figures, what is the result? A. 15000 B. 15200.00 C. 15200 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 400 meters takes a measurement of 569700 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.001 liters. You multiply the former value by the latter with a calculator app and get the output. If we report this output properly with respect to the number of significant figures, what is the answer? A. 600 liter-meters B. 569.7 liter-meters C. 500 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 2 meters measures a distance of 1234 meters and an opisometer with a precision of +/- 1 meters reads 3 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator yields the solution. Report this solution using the right number of significant figures. A. 411 B. 411.3 C. 400 Answer:

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 measures a distance of 7720 meters and a storage container with a precision of +/- 20 liters measures a volume as 930 liters. Using a calculator app, you multiply the former value by the latter and get the solution. If we express this solution correctly with respect to the number of significant figures, what is the result? A. 7179600 liter-meters B. 7200000 liter-meters C. 7179600.00 liter-meters Answer:

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 3000 meters and a Biltmore stick with a precision of +/- 0.04 meters measures a distance between two different points as 0.02 meters. After dividing the former value by the latter your calculator gives the output. If we report this output to the appropriate level of precision, what is the answer? A. 200000 B. 150000.0 C. 150000 Answer:

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 measures a volume of 0.359 liters and a timer with a precision of +/- 0.01 seconds measures a duration as 0.01 seconds. Using a calculator, you divide the numbers and get the solution. If we round this solution to the suitable number of significant figures, what is the answer? A. 35.9 liters/second B. 40 liters/second C. 35.90 liters/second Answer:

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 55.3 meters and a cathetometer with a precision of +/- 0.00003 meters measures a distance between two different points as 0.00081 meters. Your calculator produces the output when dividing the numbers. If we report this output correctly with respect to the number of significant figures, what is the result? A. 68271.60 B. 68000 C. 68271.6 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 400 meters measures a distance of 29100 meters and an analytical balance with a precision of +/- 0.03 grams measures a mass as 1.35 grams. Using a calculator app, you multiply the first number by the second number and get the output. When this output is expressed to the suitable level of precision, what do we get? A. 39200 gram-meters B. 39285.000 gram-meters C. 39300 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 0.001 meters takes a measurement of 7.987 meters, and a tape measure with a precision of +/- 0.0003 meters reads 0.1036 meters when measuring a distance between two different points. Your computer gets the solution when dividing the former number by the latter. If we report this solution to the proper number of significant figures, what is the answer? A. 77.09 B. 77.095 C. 77.0946 Answer:

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 +/- 0.02 liters takes a measurement of 87.59 liters, and a coincidence telemeter with a precision of +/- 400 meters measures a distance as 53100 meters. You multiply the former value by the latter with a calculator and get the solution. If we report this solution to the proper level of precision, what is the result? A. 4650000 liter-meters B. 4651000 liter-meters C. 4651029.000 liter-meters Answer:

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 +/- 0.02 grams measures a mass of 0.01 grams and a measuring rod with a precision of +/- 0.002 meters reads 0.002 meters when measuring a distance. After dividing the numbers your computer gives the solution. How would this answer look if we reported it with the appropriate number of significant figures? A. 5.00 grams/meter B. 5.0 grams/meter C. 5 grams/meter Answer:

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 +/- 0.003 liters takes a measurement of 9.234 liters, and a cathetometer with a precision of +/- 0.00004 meters reads 0.00018 meters when measuring a distance. After dividing the numbers your calculator yields the solution. Using the proper number of significant figures, what is the answer? A. 51300.00 liters/meter B. 51300.000 liters/meter C. 51000 liters/meter Answer:

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 +/- 0.00001 seconds measures a duration of 0.00754 seconds and a tape measure with a precision of +/- 0.0004 meters measures a distance as 0.0007 meters. Using a computer, you divide the first value by the second value and get the output. How can we write this output to the correct level of precision? A. 10.8 seconds/meter B. 10.7714 seconds/meter C. 10 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring flask with a precision of +/- 0.002 liters takes a measurement of 0.490 liters, and a balance with a precision of +/- 0.0004 grams measures a mass as 0.0008 grams. Using a calculator app, you divide the two numbers and get the solution. Using the appropriate level of precision, what is the result? A. 612.500 liters/gram B. 600 liters/gram C. 612.5 liters/gram Answer:

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 +/- 0.0004 meters takes a measurement of 0.0492 meters, and a spring scale with a precision of +/- 0.4 grams measures a mass as 54.3 grams. Using a computer, you multiply the numbers and get the output. If we write this output to the appropriate number of significant figures, what is the answer? A. 2.672 gram-meters B. 2.7 gram-meters C. 2.67 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.1 meters takes a measurement of 949.1 meters, and a chronograph with a precision of +/- 0.2 seconds measures a duration as 914.3 seconds. Using a calculator app, you divide the former value by the latter and get the output. How can we round this output to the appropriate number of significant figures? A. 1.0381 meters/second B. 1.038 meters/second C. 1.0 meters/second Answer:

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 45820 grams, and an analytical balance with a precision of +/- 0.03 grams measures a mass of a different object as 62.58 grams. After multiplying the numbers your computer produces the solution. How can we express this solution to the appropriate number of significant figures? A. 2867415.6000 grams^2 B. 2867000 grams^2 C. 2867410 grams^2 Answer:

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 +/- 0.4 grams measures a mass of 7.4 grams and an odometer with a precision of +/- 3000 meters reads 9000 meters when measuring a distance. Using a computer, you multiply the values and get the output. When this output is written to the proper number of significant figures, what do we get? A. 66000 gram-meters B. 66600.0 gram-meters C. 70000 gram-meters Answer:

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 +/- 3 meters measures a distance of 5405 meters and a measuring flask with a precision of +/- 0.03 liters reads 0.45 liters when measuring a volume. Your computer produces the solution when multiplying the former value by the latter. Using the correct number of significant figures, what is the result? A. 2432.25 liter-meters B. 2400 liter-meters C. 2432 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 3000 meters measures a distance of 688000 meters and a chronograph with a precision of +/- 0.04 seconds measures a duration as 0.09 seconds. You multiply the former number by the latter with a calculator app and get the solution. Write this solution using the correct number of significant figures. A. 61920.0 meter-seconds B. 60000 meter-seconds C. 61000 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An analytical balance with a precision of +/- 400 grams measures a mass of 391400 grams and a measuring tape with a precision of +/- 0.03 meters measures a distance as 0.06 meters. Using a computer, you multiply the former number by the latter and get the solution. If we write this solution properly with respect to the level of precision, what is the result? A. 23484.0 gram-meters B. 23400 gram-meters C. 20000 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring rod with a precision of +/- 0.04 meters measures a distance of 0.52 meters and a tape measure with a precision of +/- 0.003 meters measures a distance between two different points as 0.007 meters. After dividing the numbers your calculator produces the solution. Using the appropriate number of significant figures, what is the result? A. 74.3 B. 70 C. 74.29 Answer:

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 +/- 0.01 seconds measures a duration of 0.10 seconds and a Biltmore stick with a precision of +/- 0.02 meters reads 0.05 meters when measuring a distance. You divide the two values with a calculator app and get the solution. When this solution is rounded to the appropriate number of significant figures, what do we get? A. 2.00 seconds/meter B. 2 seconds/meter C. 2.0 seconds/meter Answer:

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 +/- 0.3 meters takes a measurement of 38.5 meters, and a measuring rod with a precision of +/- 0.02 meters reads 7.53 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator app produces the solution. How would this answer look if we expressed it with the right level of precision? A. 5.1 B. 5.113 C. 5.11 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.2 meters takes a measurement of 605.0 meters, and a radar-based method with a precision of +/- 3 meters measures a distance between two different points as 7 meters. Your calculator app yields the solution when dividing the first value by the second value. If we express this solution to the appropriate level of precision, what is the answer? A. 90 B. 86 C. 86.4 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring rod with a precision of +/- 0.01 meters takes a measurement of 7.61 meters, and a stadimeter with a precision of +/- 3 meters measures a distance between two different points as 685 meters. Using a calculator, you multiply the two numbers and get the solution. Using the correct level of precision, what is the answer? A. 5212.850 meters^2 B. 5210 meters^2 C. 5212 meters^2 Answer:

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 +/- 100 meters measures a distance of 686400 meters and a timer with a precision of +/- 0.01 seconds reads 2.76 seconds when measuring a duration. You divide the first number by the second number with a calculator app and get the output. Using the proper level of precision, what is the result? A. 249000 meters/second B. 248695.652 meters/second C. 248600 meters/second Answer:

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 +/- 0.0003 meters takes a measurement of 0.0438 meters, and a meter stick with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0007 meters. You divide the former number by the latter with a calculator and get the solution. If we write this solution suitably with respect to the level of precision, what is the result? A. 60 B. 62.6 C. 62.5714 Answer:

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 430 meters and a measuring stick with a precision of +/- 0.1 meters measures a distance between two different points as 82.1 meters. Your computer gives the solution when multiplying the two values. How can we express this solution to the suitable number of significant figures? A. 35300 meters^2 B. 35000 meters^2 C. 35303.00 meters^2 Answer:

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 measures a duration of 0.0602 seconds and a clickwheel with a precision of +/- 0.2 meters measures a distance as 49.3 meters. Using a calculator app, you multiply the former number by the latter and get the output. How would this answer look if we reported it with the proper number of significant figures? A. 3.0 meter-seconds B. 2.97 meter-seconds C. 2.968 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.04 meters measures a distance of 8.34 meters and a coincidence telemeter with a precision of +/- 100 meters measures a distance between two different points as 180500 meters. After multiplying the first value by the second value your calculator app produces the output. If we report this output suitably with respect to the level of precision, what is the result? A. 1505300 meters^2 B. 1510000 meters^2 C. 1505370.000 meters^2 Answer:

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 +/- 0.3 grams takes a measurement of 4.6 grams, and a balance with a precision of +/- 0.03 grams reads 0.17 grams when measuring a mass of a different object. You divide the former value by the latter with a calculator app and get the output. How would this result look if we expressed it with the appropriate number of significant figures? A. 27 B. 27.06 C. 27.1 Answer:

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 8860 meters, and a tape measure with a precision of +/- 0.003 meters measures a distance between two different points as 0.986 meters. You divide the two values with a computer and get the solution. If we write this solution to the proper level of precision, what is the result? A. 8980 B. 8985.801 C. 8990 Answer:

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 measures a distance of 0.151 meters and a measuring stick with a precision of +/- 0.003 meters measures a distance between two different points as 0.048 meters. Your calculator app gets the output when dividing the first number by the second number. When this output is written to the correct level of precision, what do we get? A. 3.1 B. 3.15 C. 3.146 Answer:

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 1100 meters, and a caliper with a precision of +/- 0.03 meters measures a distance between two different points as 4.63 meters. After dividing the values your calculator app gets the output. If we report this output properly with respect to the number of significant figures, what is the result? A. 240 B. 200 C. 237.58 Answer:

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 +/- 400 meters measures a distance of 8900 meters and a Biltmore stick with a precision of +/- 0.1 meters measures a distance between two different points as 5.5 meters. After multiplying the values your calculator app gives the output. Using the right level of precision, what is the result? A. 48950.00 meters^2 B. 49000 meters^2 C. 48900 meters^2 Answer:

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 +/- 0.4 meters takes a measurement of 24.3 meters, and a measuring rod with a precision of +/- 0.03 meters reads 0.37 meters when measuring a distance between two different points. Using a computer, you divide the first value by the second value and get the output. When this output is reported to the appropriate number of significant figures, what do we get? A. 65.7 B. 66 C. 65.68 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 0.04 grams takes a measurement of 5.21 grams, and a stadimeter with a precision of +/- 300 meters measures a distance as 607400 meters. Using a computer, you multiply the former value by the latter and get the output. When this output is rounded to the suitable level of precision, what do we get? A. 3160000 gram-meters B. 3164500 gram-meters C. 3164554.000 gram-meters Answer:

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 446300 meters, and an analytical balance with a precision of +/- 0.002 grams reads 0.662 grams when measuring a mass. Using a calculator, you multiply the two values and get the output. Express this output using the correct level of precision. A. 295000 gram-meters B. 295400 gram-meters C. 295450.600 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.1 meters takes a measurement of 3.5 meters, and a measuring tape with a precision of +/- 0.2 meters reads 63.8 meters when measuring a distance between two different points. Your calculator produces the solution when multiplying the first number by the second number. When this solution is written to the proper level of precision, what do we get? A. 223.30 meters^2 B. 223.3 meters^2 C. 220 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 0.3 meters measures a distance of 471.8 meters and a hydraulic scale with a precision of +/- 10 grams reads 30 grams when measuring a mass. You divide the numbers with a calculator app and get the output. Round this output using the appropriate level of precision. A. 15.7 meters/gram B. 10 meters/gram C. 20 meters/gram Answer:

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 measures a distance of 38900 meters and a spring scale with a precision of +/- 0.1 grams reads 5.5 grams when measuring a mass. After multiplying the first value by the second value your calculator app gives the output. How can we express this output to the correct number of significant figures? A. 213900 gram-meters B. 213950.00 gram-meters C. 210000 gram-meters Answer:

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 +/- 4000 grams measures a mass of 8304000 grams and a radar-based method with a precision of +/- 30 meters measures a distance as 30 meters. Using a computer, you multiply the two values and get the output. How can we express this output to the proper level of precision? A. 249120000 gram-meters B. 249120000.0 gram-meters C. 200000000 gram-meters Answer:

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 +/- 0.03 seconds measures a duration of 8.33 seconds and a measuring tape with a precision of +/- 0.3 meters reads 873.3 meters when measuring a distance. After multiplying the numbers your computer produces the output. Express this output using the correct number of significant figures. A. 7274.6 meter-seconds B. 7274.589 meter-seconds C. 7270 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A timer with a precision of +/- 0.01 seconds measures a duration of 0.05 seconds and a stopwatch with a precision of +/- 0.04 seconds measures a duration of a different event as 87.70 seconds. You multiply the numbers with a calculator and get the output. If we express this output properly with respect to the number of significant figures, what is the result? A. 4 seconds^2 B. 4.4 seconds^2 C. 4.38 seconds^2 Answer:

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 measures a distance of 0.018 meters and a storage container with a precision of +/- 40 liters reads 980 liters when measuring a volume. Using a calculator app, you multiply the numbers and get the solution. How can we write this solution to the correct level of precision? A. 18 liter-meters B. 10 liter-meters C. 17.64 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 20 meters measures a distance of 54500 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 6.536 liters. Using a calculator app, you multiply the first value by the second value and get the output. Using the right level of precision, what is the result? A. 356212.0000 liter-meters B. 356210 liter-meters C. 356200 liter-meters Answer:

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 50000 meters, and an opisometer with a precision of +/- 0.004 meters measures a distance between two different points as 0.069 meters. Using a computer, you divide the values and get the output. Using the appropriate number of significant figures, what is the result? A. 720000 B. 724637.68 C. 724000 Answer:

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 +/- 0.4 seconds takes a measurement of 695.7 seconds, and a chronograph with a precision of +/- 0.03 seconds reads 7.25 seconds when measuring a duration of a different event. Your computer gets the solution when multiplying the two numbers. How can we report this solution to the proper level of precision? A. 5043.825 seconds^2 B. 5043.8 seconds^2 C. 5040 seconds^2 Answer:

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 +/- 0.0004 seconds measures a duration of 0.3695 seconds and a meter stick with a precision of +/- 0.0001 meters reads 0.0002 meters when measuring a distance. Your calculator produces the solution when dividing the numbers. If we write this solution appropriately with respect to the number of significant figures, what is the answer? A. 1847.5 seconds/meter B. 2000 seconds/meter C. 1847.5000 seconds/meter Answer:

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 measures a volume of 9.586 liters and a storage container with a precision of +/- 0.1 liters reads 948.9 liters when measuring a volume of a different quantity of liquid. Your computer yields the output when multiplying the first value by the second value. If we report this output properly with respect to the level of precision, what is the result? A. 9096 liters^2 B. 9096.1554 liters^2 C. 9096.2 liters^2 Answer:

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 takes a measurement of 5400 meters, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance between two different points as 319.3 meters. You multiply the former number by the latter with a calculator and get the output. If we write this output appropriately with respect to the level of precision, what is the answer? A. 1724220.00 meters^2 B. 1700000 meters^2 C. 1724200 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.2 meters takes a measurement of 5.2 meters, and a clickwheel with a precision of +/- 0.001 meters reads 0.030 meters when measuring a distance between two different points. Using a computer, you divide the first value by the second value and get the output. How would this answer look if we expressed it with the appropriate number of significant figures? A. 170 B. 173.33 C. 173.3 Answer:

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 0.44 meters and an opisometer with a precision of +/- 0.2 meters measures a distance between two different points as 5.5 meters. You divide the former value by the latter with a calculator and get the solution. How can we round this solution to the proper number of significant figures? A. 0.080 B. 0.1 C. 0.08 Answer:

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 +/- 0.002 seconds measures a duration of 3.367 seconds and an odometer with a precision of +/- 200 meters reads 65500 meters when measuring a distance. You multiply the numbers with a calculator and get the output. If we round this output to the proper level of precision, what is the answer? A. 220500 meter-seconds B. 220538.500 meter-seconds C. 221000 meter-seconds Answer:

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 +/- 0.003 meters measures a distance of 0.033 meters and a cathetometer with a precision of +/- 0.00004 meters reads 0.00045 meters when measuring a distance between two different points. Using a computer, you divide the former number by the latter and get the solution. How would this answer look if we expressed it with the appropriate number of significant figures? A. 73.333 B. 73.33 C. 73 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 200 grams measures a mass of 83400 grams and a chronometer with a precision of +/- 0.0001 seconds reads 0.0007 seconds when measuring a duration. Using a calculator, you divide the values and get the solution. Using the proper number of significant figures, what is the result? A. 100000000 grams/second B. 119142857.1 grams/second C. 119142800 grams/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A timer with a precision of +/- 0.01 seconds takes a measurement of 85.08 seconds, and a measuring tape with a precision of +/- 0.4 meters measures a distance as 969.9 meters. Your computer produces the solution when dividing the former value by the latter. Using the appropriate level of precision, what is the answer? A. 0.08772 seconds/meter B. 0.0877 seconds/meter C. 0.1 seconds/meter Answer:

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 0.48 meters and a storage container with a precision of +/- 30 liters measures a volume as 180 liters. Using a calculator app, you multiply the two numbers and get the solution. Round this solution using the right number of significant figures. A. 86 liter-meters B. 86.40 liter-meters C. 80 liter-meters Answer:

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 takes a measurement of 0.034 liters, and a cathetometer with a precision of +/- 0.0003 meters reads 0.0209 meters when measuring a distance. Using a computer, you divide the first number by the second number and get the output. How would this answer look if we rounded it with the correct number of significant figures? A. 1.627 liters/meter B. 1.63 liters/meter C. 1.6 liters/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 4 liters measures a volume of 853 liters and a ruler with a precision of +/- 0.002 meters reads 0.602 meters when measuring a distance. Your calculator app gets the output when multiplying the former number by the latter. Report this output using the correct level of precision. A. 513 liter-meters B. 514 liter-meters C. 513.506 liter-meters Answer:

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 +/- 0.01 liters takes a measurement of 95.08 liters, and a balance with a precision of +/- 200 grams measures a mass as 2000 grams. Using a computer, you multiply the two numbers and get the solution. If we write this solution to the right number of significant figures, what is the answer? A. 190160.00 gram-liters B. 190100 gram-liters C. 190000 gram-liters Answer:

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 +/- 0.4 meters measures a distance of 72.6 meters and a rangefinder with a precision of +/- 4 meters measures a distance between two different points as 461 meters. Using a computer, you multiply the first number by the second number and get the output. How would this result look if we reported it with the suitable level of precision? A. 33468 meters^2 B. 33500 meters^2 C. 33468.600 meters^2 Answer:

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 9810 liters and an opisometer with a precision of +/- 0.004 meters measures a distance as 0.003 meters. Your calculator gives the solution when dividing the former value by the latter. Write this solution using the proper number of significant figures. A. 3270000.0 liters/meter B. 3270000 liters/meter C. 3000000 liters/meter Answer:

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 4800 grams, and a stopwatch with a precision of +/- 0.03 seconds measures a duration as 0.65 seconds. After dividing the former value by the latter your calculator produces the output. If we report this output to the suitable number of significant figures, what is the result? A. 7384.62 grams/second B. 7400 grams/second C. 7300 grams/second Answer:

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 +/- 100 grams takes a measurement of 382900 grams, and a stadimeter with a precision of +/- 20 meters reads 990 meters when measuring a distance. Using a calculator, you multiply the values and get the output. How would this answer look if we reported it with the suitable level of precision? A. 379071000 gram-meters B. 380000000 gram-meters C. 379071000.00 gram-meters Answer: