prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.03 meters measures a distance of 9.55 meters and a spring scale with a precision of +/- 0.01 grams reads 4.64 grams when measuring a mass. After multiplying the former value by the latter your computer gets the output 44.312000000000. Round this output using the proper number of significant figures.
A. 44.31 gram-meters
B. 44.3 gram-meters
C. 44.312 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 1 meters takes a measurement of 931 meters, and a ruler with a precision of +/- 0.04 meters reads 0.08 meters when measuring a distance between two different points. Using a calculator, you multiply the former value by the latter and get the solution 74.480000000000. How can we round this solution to the proper number of significant figures?
A. 74 meters^2
B. 74.5 meters^2
C. 70 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 takes a measurement of 844.1 grams, and an opisometer with a precision of +/- 0.04 meters measures a distance as 0.10 meters. Using a calculator app, you multiply the two numbers and get the output 84.410000000000. If we express this output to the correct level of precision, what is the answer?
A. 84.4 gram-meters
B. 84.41 gram-meters
C. 84 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A spring scale with a precision of +/- 4 grams measures a mass of 79 grams and a storage container with a precision of +/- 30 liters measures a volume as 70 liters. Using a calculator, you multiply the numbers and get the solution 5530.000000000000. When this solution is written to the correct level of precision, what do we get?
A. 5530 gram-liters
B. 6000 gram-liters
C. 5530.0 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.0725 meters, and a radar-based method with a precision of +/- 4 meters measures a distance between two different points as 608 meters. After multiplying the numbers your calculator app produces the output 44.080000000000. If we express this output to the right level of precision, what is the result?
A. 44.1 meters^2
B. 44.080 meters^2
C. 44 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring stick with a precision of +/- 0.04 meters takes a measurement of 71.65 meters, and a hydraulic scale with a precision of +/- 100 grams reads 100 grams when measuring a mass. Your calculator gets the solution 7165.000000000000 when multiplying the former number by the latter. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 7165.0 gram-meters
B. 7000 gram-meters
C. 7100 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.04 meters measures a distance of 35.15 meters and a balance with a precision of +/- 0.004 grams measures a mass as 3.903 grams. You multiply the first number by the second number with a calculator app and get the output 137.190450000000. Using the suitable number of significant figures, what is the result?
A. 137.19 gram-meters
B. 137.1904 gram-meters
C. 137.2 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 2 meters measures a distance of 89 meters and a coincidence telemeter with a precision of +/- 4 meters measures a distance between two different points as 764 meters. Using a computer, you multiply the two numbers and get the output 67996.000000000000. Report this output using the proper number of significant figures.
A. 67996.00 meters^2
B. 67996 meters^2
C. 68000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A stopwatch with a precision of +/- 0.3 seconds measures a duration of 28.8 seconds and a meter stick with a precision of +/- 0.0002 meters measures a distance as 0.0022 meters. Your computer gives the solution 0.063360000000 when multiplying the values. If we round this solution appropriately with respect to the number of significant figures, what is the answer?
A. 0.06 meter-seconds
B. 0.1 meter-seconds
C. 0.063 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A storage container with a precision of +/- 0.4 liters measures a volume of 72.9 liters and a spring scale with a precision of +/- 300 grams reads 359800 grams when measuring a mass. After multiplying the two values your calculator app produces the output 26229420.000000000000. If we write this output to the correct level of precision, what is the answer?
A. 26229420.000 gram-liters
B. 26229400 gram-liters
C. 26200000 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 30 meters measures a distance of 30 meters and a tape measure with a precision of +/- 0.001 meters reads 0.974 meters when measuring a distance between two different points. Using a calculator, you multiply the former number by the latter and get the output 29.220000000000. If we round this output to the appropriate level of precision, what is the result?
A. 29.2 meters^2
B. 30 meters^2
C. 20 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.0044 meters, and a balance with a precision of +/- 40 grams measures a mass as 79120 grams. Your calculator app yields the output 348.128000000000 when multiplying the numbers. If we express this output properly with respect to the number of significant figures, what is the answer?
A. 340 gram-meters
B. 350 gram-meters
C. 348.13 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A timer with a precision of +/- 0.2 seconds measures a duration of 757.7 seconds and a hydraulic scale with a precision of +/- 100 grams reads 32100 grams when measuring a mass. You multiply the values with a computer and get the output 24322170.000000000000. If we express this output to the suitable level of precision, what is the result?
A. 24322100 gram-seconds
B. 24322170.000 gram-seconds
C. 24300000 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 20 liters measures a volume of 55400 liters and a graduated cylinder with a precision of +/- 0.003 liters measures a volume of a different quantity of liquid as 0.059 liters. Using a calculator, you multiply the two values and get the output 3268.600000000000. If we write this output correctly with respect to the level of precision, what is the answer?
A. 3268.60 liters^2
B. 3300 liters^2
C. 3260 liters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A cathetometer with a precision of +/- 0.0002 meters measures a distance of 0.2912 meters and a coincidence telemeter with a precision of +/- 100 meters measures a distance between two different points as 9500 meters. Your calculator yields the solution 2766.400000000000 when multiplying the former number by the latter. Express this solution using the correct number of significant figures.
A. 2766.40 meters^2
B. 2800 meters^2
C. 2700 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.4 seconds takes a measurement of 37.4 seconds, and a stadimeter with a precision of +/- 100 meters measures a distance as 700 meters. You multiply the first value by the second value with a calculator and get the output 26180.000000000000. If we report this output appropriately with respect to the level of precision, what is the result?
A. 30000 meter-seconds
B. 26180.0 meter-seconds
C. 26100 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.00002 seconds measures a duration of 0.00698 seconds and a timer with a precision of +/- 0.02 seconds measures a duration of a different event as 5.42 seconds. You multiply the two numbers with a computer and get the solution 0.037831600000. When this solution is rounded to the right level of precision, what do we get?
A. 0.038 seconds^2
B. 0.0378 seconds^2
C. 0.04 seconds^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.004 seconds takes a measurement of 2.858 seconds, and a balance with a precision of +/- 0.4 grams measures a mass as 429.2 grams. Using a calculator, you multiply the first value by the second value and get the output 1226.653600000000. How would this answer look if we rounded it with the proper number of significant figures?
A. 1226.7 gram-seconds
B. 1226.6536 gram-seconds
C. 1227 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.003 liters measures a volume of 9.695 liters and a measuring flask with a precision of +/- 0.02 liters measures a volume of a different quantity of liquid as 5.03 liters. After multiplying the former value by the latter your calculator app yields the solution 48.765850000000. If we report this solution to the appropriate level of precision, what is the answer?
A. 48.8 liters^2
B. 48.77 liters^2
C. 48.766 liters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An odometer with a precision of +/- 300 meters takes a measurement of 9800 meters, and a ruler with a precision of +/- 0.001 meters measures a distance between two different points as 7.906 meters. After multiplying the former number by the latter your calculator app produces the output 77478.800000000000. Round this output using the proper number of significant figures.
A. 77400 meters^2
B. 77478.80 meters^2
C. 77000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.001 meters measures a distance of 3.597 meters and a storage container with a precision of +/- 40 liters measures a volume as 8880 liters. After multiplying the former value by the latter your calculator app gets the solution 31941.360000000000. How can we write this solution to the appropriate level of precision?
A. 31940 liter-meters
B. 31941.360 liter-meters
C. 31900 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A ruler with a precision of +/- 0.004 meters takes a measurement of 8.023 meters, and a chronograph with a precision of +/- 0.03 seconds measures a duration as 67.52 seconds. You multiply the first number by the second number with a computer and get the solution 541.712960000000. How would this result look if we reported it with the correct level of precision?
A. 541.71 meter-seconds
B. 541.7130 meter-seconds
C. 541.7 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.003 meters takes a measurement of 1.356 meters, and a stadimeter with a precision of +/- 20 meters measures a distance between two different points as 420 meters. You multiply the first value by the second value with a computer and get the solution 569.520000000000. How can we express this solution to the suitable number of significant figures?
A. 569.52 meters^2
B. 560 meters^2
C. 570 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.2 meters measures a distance of 9.1 meters and a stadimeter with a precision of +/- 1 meters measures a distance between two different points as 84 meters. Using a calculator, you multiply the first value by the second value and get the output 764.400000000000. How would this answer look if we wrote it with the right level of precision?
A. 764.40 meters^2
B. 764 meters^2
C. 760 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 300 grams takes a measurement of 7400 grams, and a rangefinder with a precision of +/- 4 meters measures a distance as 3 meters. Using a calculator, you multiply the numbers and get the solution 22200.000000000000. If we write this solution to the appropriate level of precision, what is the answer?
A. 20000 gram-meters
B. 22200 gram-meters
C. 22200.0 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.03 meters measures a distance of 54.85 meters and a measuring flask with a precision of +/- 0.002 liters reads 0.779 liters when measuring a volume. You multiply the first value by the second value with a computer and get the solution 42.728150000000. How would this result look if we wrote it with the correct level of precision?
A. 42.728 liter-meters
B. 42.7 liter-meters
C. 42.73 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 4 meters takes a measurement of 46 meters, and a timer with a precision of +/- 0.04 seconds reads 3.94 seconds when measuring a duration. Using a calculator app, you multiply the two numbers and get the output 181.240000000000. If we express this output suitably with respect to the number of significant figures, what is the result?
A. 181 meter-seconds
B. 180 meter-seconds
C. 181.24 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An odometer with a precision of +/- 100 meters takes a measurement of 975200 meters, and a rangefinder with a precision of +/- 20 meters reads 1310 meters when measuring a distance between two different points. Using a calculator, you multiply the first number by the second number and get the output 1277512000.000000000000. Express this output using the proper level of precision.
A. 1277512000.000 meters^2
B. 1277512000 meters^2
C. 1280000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 40 grams takes a measurement of 86860 grams, and a storage container with a precision of +/- 4 liters reads 2 liters when measuring a volume. You multiply the values with a computer and get the solution 173720.000000000000. When this solution is expressed to the correct number of significant figures, what do we get?
A. 173720 gram-liters
B. 173720.0 gram-liters
C. 200000 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 takes a measurement of 164000 meters, and a measuring flask with a precision of +/- 0.004 liters reads 0.078 liters when measuring a volume. Your computer gives the solution 12792.000000000000 when multiplying the two values. Round this solution using the appropriate level of precision.
A. 12792.00 liter-meters
B. 13000 liter-meters
C. 12000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 100 grams takes a measurement of 700 grams, and a spring scale with a precision of +/- 400 grams reads 759000 grams when measuring a mass of a different object. You multiply the values with a calculator and get the solution 531300000.000000000000. When this solution is rounded to the suitable number of significant figures, what do we get?
A. 500000000 grams^2
B. 531300000 grams^2
C. 531300000.0 grams^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 3 meters measures a distance of 7897 meters and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.009 liters. After multiplying the former value by the latter your computer produces the solution 71.073000000000. If we express this solution to the appropriate number of significant figures, what is the answer?
A. 71.1 liter-meters
B. 71 liter-meters
C. 70 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A stadimeter with a precision of +/- 10 meters takes a measurement of 55980 meters, and an odometer with a precision of +/- 100 meters measures a distance between two different points as 65300 meters. Using a calculator, you multiply the first value by the second value and get the solution 3655494000.000000000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 3655494000.000 meters^2
B. 3655494000 meters^2
C. 3660000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.4 meters measures a distance of 55.2 meters and an opisometer with a precision of +/- 0.04 meters reads 72.93 meters when measuring a distance between two different points. You multiply the two values with a calculator app and get the output 4025.736000000000. Using the proper level of precision, what is the answer?
A. 4025.7 meters^2
B. 4030 meters^2
C. 4025.736 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.02 meters measures a distance of 1.00 meters and a chronograph with a precision of +/- 0.03 seconds reads 38.44 seconds when measuring a duration. You multiply the former value by the latter with a calculator and get the solution 38.440000000000. How would this result look if we expressed it with the correct number of significant figures?
A. 38.440 meter-seconds
B. 38.4 meter-seconds
C. 38.44 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A coincidence telemeter with a precision of +/- 400 meters measures a distance of 73100 meters and a radar-based method with a precision of +/- 2 meters measures a distance between two different points as 8766 meters. Your calculator gives the solution 640794600.000000000000 when multiplying the former number by the latter. When this solution is written to the right level of precision, what do we get?
A. 640794600.000 meters^2
B. 641000000 meters^2
C. 640794600 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 2 meters measures a distance of 600 meters and an analytical balance with a precision of +/- 0.4 grams reads 0.6 grams when measuring a mass. You multiply the first value by the second value with a computer and get the output 360.000000000000. How can we write this output to the suitable number of significant figures?
A. 360 gram-meters
B. 400 gram-meters
C. 360.0 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An odometer with a precision of +/- 100 meters measures a distance of 3900 meters and a ruler with a precision of +/- 0.0002 meters reads 0.0882 meters when measuring a distance between two different points. After multiplying the values your calculator yields the solution 343.980000000000. How can we round this solution to the appropriate number of significant figures?
A. 300 meters^2
B. 340 meters^2
C. 343.98 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 6.6 meters, and a radar-based method with a precision of +/- 30 meters reads 3530 meters when measuring a distance between two different points. After multiplying the former value by the latter your calculator produces the solution 23298.000000000000. How can we write this solution to the right number of significant figures?
A. 23290 meters^2
B. 23000 meters^2
C. 23298.00 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.2 meters takes a measurement of 0.5 meters, and a stadimeter with a precision of +/- 200 meters measures a distance between two different points as 65100 meters. After multiplying the two values your computer gives the solution 32550.000000000000. If we express this solution appropriately with respect to the number of significant figures, what is the result?
A. 32550.0 meters^2
B. 30000 meters^2
C. 32500 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 measures a distance of 89.14 meters and a rangefinder with a precision of +/- 0.02 meters reads 4.30 meters when measuring a distance between two different points. Your computer gets the output 383.302000000000 when multiplying the values. If we write this output properly with respect to the number of significant figures, what is the result?
A. 383.302 meters^2
B. 383 meters^2
C. 383.30 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 965.2 meters and a chronograph with a precision of +/- 0.1 seconds reads 44.9 seconds when measuring a duration. Using a calculator, you multiply the numbers and get the solution 43337.480000000000. How would this result look if we expressed it with the proper level of precision?
A. 43337.480 meter-seconds
B. 43300 meter-seconds
C. 43337.5 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A storage container with a precision of +/- 0.4 liters measures a volume of 1.8 liters and a caliper with a precision of +/- 0.02 meters reads 56.15 meters when measuring a distance. After multiplying the first number by the second number your calculator app produces the output 101.070000000000. If we round this output appropriately with respect to the level of precision, what is the result?
A. 100 liter-meters
B. 101.1 liter-meters
C. 101.07 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A measuring tape with a precision of +/- 0.03 meters measures a distance of 6.68 meters and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 1.832 liters. After multiplying the numbers your calculator app gives the solution 12.237760000000. How can we express this solution to the suitable level of precision?
A. 12.238 liter-meters
B. 12.24 liter-meters
C. 12.2 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A cathetometer with a precision of +/- 0.0002 meters measures a distance of 0.0649 meters and a ruler with a precision of +/- 0.1 meters reads 26.8 meters when measuring a distance between two different points. Your computer gives the output 1.739320000000 when multiplying the first number by the second number. If we express this output to the proper number of significant figures, what is the result?
A. 1.739 meters^2
B. 1.7 meters^2
C. 1.74 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 1 meters takes a measurement of 8651 meters, and a coincidence telemeter with a precision of +/- 0.1 meters measures a distance between two different points as 0.7 meters. Using a computer, you multiply the two values and get the solution 6055.700000000000. Using the suitable number of significant figures, what is the result?
A. 6055 meters^2
B. 6055.7 meters^2
C. 6000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.003 liters takes a measurement of 0.865 liters, and a coincidence telemeter with a precision of +/- 1 meters reads 2482 meters when measuring a distance. Your calculator app gives the solution 2146.930000000000 when multiplying the numbers. How can we round this solution to the proper level of precision?
A. 2146.930 liter-meters
B. 2146 liter-meters
C. 2150 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.79 meters and a stadimeter with a precision of +/- 20 meters reads 5420 meters when measuring a distance between two different points. Using a computer, you multiply the values and get the output 4281.800000000000. Using the correct number of significant figures, what is the result?
A. 4300 meters^2
B. 4281.80 meters^2
C. 4280 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.04 meters measures a distance of 4.53 meters and a storage container with a precision of +/- 0.2 liters reads 983.3 liters when measuring a volume. You multiply the two values with a calculator and get the output 4454.349000000000. If we express this output appropriately with respect to the level of precision, what is the answer?
A. 4450 liter-meters
B. 4454.3 liter-meters
C. 4454.349 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 takes a measurement of 7.2 meters, and an odometer with a precision of +/- 3000 meters measures a distance between two different points as 81000 meters. After multiplying the numbers your calculator app gives the solution 583200.000000000000. Express this solution using the appropriate number of significant figures.
A. 580000 meters^2
B. 583000 meters^2
C. 583200.00 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A biltmore stick with a precision of +/- 0.01 meters measures a distance of 92.86 meters and an odometer with a precision of +/- 400 meters measures a distance between two different points as 300 meters. Using a calculator, you multiply the values and get the solution 27858.000000000000. Using the right level of precision, what is the result?
A. 27858.0 meters^2
B. 30000 meters^2
C. 27800 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 8.00 meters and a measuring tape with a precision of +/- 0.1 meters measures a distance between two different points as 689.0 meters. Using a calculator app, you multiply the first value by the second value and get the solution 5512.000000000000. How can we report this solution to the suitable level of precision?
A. 5512.000 meters^2
B. 5510 meters^2
C. 5512.0 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A chronograph with a precision of +/- 0.02 seconds measures a duration of 0.95 seconds and a ruler with a precision of +/- 0.3 meters reads 903.7 meters when measuring a distance. Your calculator app yields the solution 858.515000000000 when multiplying the two values. When this solution is expressed to the suitable number of significant figures, what do we get?
A. 860 meter-seconds
B. 858.5 meter-seconds
C. 858.52 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A coincidence telemeter with a precision of +/- 2 meters takes a measurement of 8 meters, and a chronograph with a precision of +/- 0.03 seconds reads 1.82 seconds when measuring a duration. After multiplying the former value by the latter your calculator gets the output 14.560000000000. Using the correct number of significant figures, what is the answer?
A. 10 meter-seconds
B. 14.6 meter-seconds
C. 14 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.04 liters takes a measurement of 93.61 liters, and a caliper with a precision of +/- 0.02 meters reads 57.46 meters when measuring a distance. You multiply the former number by the latter with a computer and get the solution 5378.830600000000. Using the correct number of significant figures, what is the result?
A. 5379 liter-meters
B. 5378.8306 liter-meters
C. 5378.83 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A coincidence telemeter with a precision of +/- 400 meters takes a measurement of 973300 meters, and a clickwheel with a precision of +/- 0.3 meters reads 1.7 meters when measuring a distance between two different points. After multiplying the former number by the latter your computer gets the solution 1654610.000000000000. Round this solution using the proper number of significant figures.
A. 1700000 meters^2
B. 1654610.00 meters^2
C. 1654600 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 6700 meters and an opisometer with a precision of +/- 0.001 meters measures a distance between two different points as 0.138 meters. Using a calculator, you multiply the former value by the latter and get the output 924.600000000000. How would this answer look if we rounded it with the right level of precision?
A. 900 meters^2
B. 920 meters^2
C. 924.60 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 459800 grams and a Biltmore stick with a precision of +/- 0.1 meters reads 154.5 meters when measuring a distance. After multiplying the two numbers your calculator app gets the solution 71039100.000000000000. Report this solution using the suitable level of precision.
A. 71040000 gram-meters
B. 71039100.0000 gram-meters
C. 71039100 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.04 grams measures a mass of 0.17 grams and a radar-based method with a precision of +/- 20 meters reads 100 meters when measuring a distance. Your computer yields the output 17.000000000000 when multiplying the first number by the second number. When this output is written to the appropriate number of significant figures, what do we get?
A. 17.00 gram-meters
B. 10 gram-meters
C. 17 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A timer with a precision of +/- 0.4 seconds takes a measurement of 373.7 seconds, and a measuring stick with a precision of +/- 0.02 meters measures a distance as 0.52 meters. You multiply the two numbers with a calculator app and get the solution 194.324000000000. Round this solution using the correct level of precision.
A. 194.3 meter-seconds
B. 190 meter-seconds
C. 194.32 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.0001 grams measures a mass of 0.0866 grams and a radar-based method with a precision of +/- 40 meters reads 710 meters when measuring a distance. Using a computer, you multiply the first number by the second number and get the solution 61.486000000000. How would this answer look if we rounded it with the appropriate number of significant figures?
A. 60 gram-meters
B. 61.49 gram-meters
C. 61 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A balance with a precision of +/- 3 grams takes a measurement of 81 grams, and a ruler with a precision of +/- 0.0003 meters measures a distance as 0.0523 meters. Using a computer, you multiply the two values and get the solution 4.236300000000. If we report this solution to the appropriate number of significant figures, what is the answer?
A. 4.24 gram-meters
B. 4.2 gram-meters
C. 4 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A clickwheel with a precision of +/- 0.004 meters measures a distance of 9.031 meters and a spring scale with a precision of +/- 0.01 grams measures a mass as 63.52 grams. After multiplying the former number by the latter your calculator app gives the solution 573.649120000000. Report this solution using the suitable level of precision.
A. 573.6491 gram-meters
B. 573.65 gram-meters
C. 573.6 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 891000 meters and a chronograph with a precision of +/- 0.04 seconds measures a duration as 2.63 seconds. After multiplying the former number by the latter your computer gives the solution 2343330.000000000000. How would this answer look if we reported it with the appropriate level of precision?
A. 2343330.000 meter-seconds
B. 2343000 meter-seconds
C. 2340000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A radar-based method with a precision of +/- 4 meters measures a distance of 71 meters and a measuring stick with a precision of +/- 0.001 meters measures a distance between two different points as 0.100 meters. You multiply the two numbers with a calculator app and get the output 7.100000000000. How would this result look if we expressed it with the proper number of significant figures?
A. 7 meters^2
B. 7.10 meters^2
C. 7.1 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 measures a mass of 2746 grams and a rangefinder with a precision of +/- 40 meters measures a distance as 83800 meters. You multiply the numbers with a calculator and get the output 230114800.000000000000. If we round this output correctly with respect to the number of significant figures, what is the result?
A. 230114800 gram-meters
B. 230100000 gram-meters
C. 230114800.0000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A timer with a precision of +/- 0.4 seconds takes a measurement of 9.5 seconds, and a balance with a precision of +/- 2 grams reads 716 grams when measuring a mass. After multiplying the first value by the second value your calculator app gives the solution 6802.000000000000. When this solution is expressed to the suitable number of significant figures, what do we get?
A. 6800 gram-seconds
B. 6802.00 gram-seconds
C. 6802 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.02 grams measures a mass of 2.36 grams and a timer with a precision of +/- 0.1 seconds reads 69.1 seconds when measuring a duration. Using a computer, you multiply the values and get the solution 163.076000000000. Express this solution using the proper level of precision.
A. 163 gram-seconds
B. 163.1 gram-seconds
C. 163.076 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.0019 seconds and a balance with a precision of +/- 2 grams measures a mass as 835 grams. You multiply the two numbers with a calculator and get the solution 1.586500000000. When this solution is expressed to the right level of precision, what do we get?
A. 1.6 gram-seconds
B. 1.59 gram-seconds
C. 1 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

An analytical balance with a precision of +/- 0.1 grams measures a mass of 2.7 grams and a ruler with a precision of +/- 0.1 meters measures a distance as 115.0 meters. You multiply the former value by the latter with a calculator and get the solution 310.500000000000. How can we write this solution to the correct level of precision?
A. 310.50 gram-meters
B. 310 gram-meters
C. 310.5 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.02 seconds measures a duration of 0.05 seconds and a ruler with a precision of +/- 0.03 meters reads 92.01 meters when measuring a distance. After multiplying the first number by the second number your calculator app gives the solution 4.600500000000. If we write this solution to the proper level of precision, what is the answer?
A. 4.6 meter-seconds
B. 4.60 meter-seconds
C. 5 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A chronograph with a precision of +/- 0.2 seconds measures a duration of 62.2 seconds and a coincidence telemeter with a precision of +/- 2 meters measures a distance as 4447 meters. After multiplying the values your calculator app produces the output 276603.400000000000. When this output is written to the suitable level of precision, what do we get?
A. 276603.400 meter-seconds
B. 276603 meter-seconds
C. 277000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A timer with a precision of +/- 0.4 seconds takes a measurement of 2.4 seconds, and a ruler with a precision of +/- 0.0003 meters measures a distance as 0.0409 meters. Using a computer, you multiply the values and get the solution 0.098160000000. If we report this solution to the suitable number of significant figures, what is the answer?
A. 0.098 meter-seconds
B. 0.1 meter-seconds
C. 0.10 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.56 meters and a radar-based method with a precision of +/- 1 meters reads 10 meters when measuring a distance between two different points. Your calculator gets the output 5.600000000000 when multiplying the numbers. If we round this output properly with respect to the number of significant figures, what is the answer?
A. 5 meters^2
B. 5.60 meters^2
C. 5.6 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 0.623 liters, and an analytical balance with a precision of +/- 0.1 grams reads 169.1 grams when measuring a mass. After multiplying the two values your calculator app gets the solution 105.349300000000. If we express this solution to the appropriate level of precision, what is the answer?
A. 105.3 gram-liters
B. 105.349 gram-liters
C. 105 gram-liters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.03 grams takes a measurement of 3.61 grams, and a radar-based method with a precision of +/- 20 meters reads 3060 meters when measuring a distance. After multiplying the values your calculator app yields the solution 11046.600000000000. When this solution is reported to the suitable level of precision, what do we get?
A. 11040 gram-meters
B. 11000 gram-meters
C. 11046.600 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
---

A stadimeter with a precision of +/- 3 meters measures a distance of 876 meters and a spring scale with a precision of +/- 2000 grams reads 816000 grams when measuring a mass. You multiply the two numbers with a calculator and get the output 714816000.000000000000. How would this result look if we expressed it with the correct number of significant figures?
A. 714816000 gram-meters
B. 714816000.000 gram-meters
C. 715000000 gram-meters
Answer: