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 +/- 4 meters measures a distance of 5257 meters and a storage container with a precision of +/- 4 liters measures a volume as 68 liters. Your computer gives the output 357476.000000000000 when multiplying the first number by the second number. Using the appropriate level of precision, what is the result?
A. 357476 liter-meters
B. 360000 liter-meters
C. 357476.00 liter-meters
Answer:


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 7 meters and a measuring flask with a precision of +/- 0.04 liters reads 0.22 liters when measuring a volume. Using a calculator, you multiply the first number by the second number and get the solution 1.540000000000. When this solution is expressed to the right level of precision, what do we get?
A. 1 liter-meters
B. 2 liter-meters
C. 1.5 liter-meters
Answer:


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 +/- 0.003 meters takes a measurement of 0.241 meters, and a hydraulic scale with a precision of +/- 0.02 grams measures a mass as 95.01 grams. After multiplying the former value by the latter your computer yields the output 22.897410000000. How would this result look if we reported it with the correct level of precision?
A. 22.90 gram-meters
B. 22.897 gram-meters
C. 22.9 gram-meters
Answer:


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 +/- 0.1 meters measures a distance of 26.4 meters and a radar-based method with a precision of +/- 100 meters measures a distance between two different points as 88500 meters. Your calculator gives the solution 2336400.000000000000 when multiplying the first number by the second number. Using the right level of precision, what is the answer?
A. 2336400 meters^2
B. 2336400.000 meters^2
C. 2340000 meters^2
Answer:


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 takes a measurement of 0.08 meters, and a radar-based method with a precision of +/- 10 meters measures a distance between two different points as 830 meters. Using a computer, you multiply the former number by the latter and get the solution 66.400000000000. Using the suitable level of precision, what is the answer?
A. 70 meters^2
B. 60 meters^2
C. 66.4 meters^2
Answer:


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 +/- 400 grams takes a measurement of 709500 grams, and an opisometer with a precision of +/- 4 meters reads 6 meters when measuring a distance. Using a calculator app, you multiply the first number by the second number and get the output 4257000.000000000000. How can we express this output to the suitable number of significant figures?
A. 4257000 gram-meters
B. 4000000 gram-meters
C. 4257000.0 gram-meters
Answer:


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 31.7 seconds and a timer with a precision of +/- 0.04 seconds measures a duration of a different event as 96.37 seconds. Using a calculator, you multiply the first value by the second value and get the solution 3054.929000000000. How would this result look if we expressed it with the suitable level of precision?
A. 3054.929 seconds^2
B. 3054.9 seconds^2
C. 3050 seconds^2
Answer:


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 +/- 0.004 seconds measures a duration of 0.349 seconds and a clickwheel with a precision of +/- 0.03 meters measures a distance as 59.22 meters. After multiplying the two numbers your computer gives the output 20.667780000000. Report this output using the suitable level of precision.
A. 20.668 meter-seconds
B. 20.67 meter-seconds
C. 20.7 meter-seconds
Answer:


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 takes a measurement of 6.29 meters, and a spring scale with a precision of +/- 1000 grams reads 7189000 grams when measuring a mass. Your calculator gets the solution 45218810.000000000000 when multiplying the numbers. When this solution is reported to the suitable level of precision, what do we get?
A. 45218000 gram-meters
B. 45200000 gram-meters
C. 45218810.000 gram-meters
Answer:


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 +/- 4000 meters takes a measurement of 207000 meters, and a chronograph with a precision of +/- 0.4 seconds reads 0.3 seconds when measuring a duration. Using a calculator, you multiply the two values and get the output 62100.000000000000. How can we report this output to the suitable number of significant figures?
A. 62100.0 meter-seconds
B. 62000 meter-seconds
C. 60000 meter-seconds
Answer:


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 +/- 40 meters takes a measurement of 60 meters, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance between two different points as 99.2 meters. Your computer produces the output 5952.000000000000 when multiplying the numbers. How can we write this output to the correct level of precision?
A. 5952.0 meters^2
B. 5950 meters^2
C. 6000 meters^2
Answer:


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 58.51 meters and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.08 meters. Your calculator yields the output 4.680800000000 when multiplying the two numbers. How would this result look if we wrote it with the appropriate number of significant figures?
A. 5 meters^2
B. 4.7 meters^2
C. 4.68 meters^2
Answer:


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 +/- 0.03 seconds measures a duration of 0.91 seconds and an odometer with a precision of +/- 200 meters reads 400 meters when measuring a distance. You multiply the first number by the second number with a computer and get the solution 364.000000000000. When this solution is written to the appropriate level of precision, what do we get?
A. 300 meter-seconds
B. 400 meter-seconds
C. 364.0 meter-seconds
Answer:


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 +/- 10 grams measures a mass of 570 grams and a measuring stick with a precision of +/- 0.002 meters reads 7.404 meters when measuring a distance. Using a calculator, you multiply the former number by the latter and get the solution 4220.280000000000. Write this solution using the right level of precision.
A. 4220.28 gram-meters
B. 4200 gram-meters
C. 4220 gram-meters
Answer:


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 +/- 0.3 liters measures a volume of 79.5 liters and a chronograph with a precision of +/- 0.02 seconds measures a duration as 0.62 seconds. Using a calculator, you multiply the first number by the second number and get the solution 49.290000000000. If we express this solution to the correct number of significant figures, what is the result?
A. 49 liter-seconds
B. 49.3 liter-seconds
C. 49.29 liter-seconds
Answer:


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 +/- 1000 meters takes a measurement of 23000 meters, and a tape measure with a precision of +/- 0.0002 meters reads 0.0732 meters when measuring a distance between two different points. You multiply the numbers with a calculator and get the output 1683.600000000000. How can we round this output to the proper number of significant figures?
A. 1683.60 meters^2
B. 1000 meters^2
C. 1700 meters^2
Answer:


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 takes a measurement of 44.78 meters, and a timer with a precision of +/- 0.03 seconds reads 0.06 seconds when measuring a duration. Your computer yields the solution 2.686800000000 when multiplying the values. If we round this solution appropriately with respect to the number of significant figures, what is the answer?
A. 2.69 meter-seconds
B. 2.7 meter-seconds
C. 3 meter-seconds
Answer:


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 +/- 3 meters measures a distance of 26 meters and a coincidence telemeter with a precision of +/- 2 meters measures a distance between two different points as 8 meters. Using a computer, you multiply the numbers and get the output 208.000000000000. Using the proper number of significant figures, what is the answer?
A. 208 meters^2
B. 200 meters^2
C. 208.0 meters^2
Answer:


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 973100 meters, and a measuring rod with a precision of +/- 0.02 meters measures a distance between two different points as 0.03 meters. You multiply the former value by the latter with a computer and get the solution 29193.000000000000. Express this solution using the correct level of precision.
A. 29193.0 meters^2
B. 29100 meters^2
C. 30000 meters^2
Answer:


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 +/- 0.02 grams takes a measurement of 0.92 grams, and a hydraulic scale with a precision of +/- 100 grams reads 34300 grams when measuring a mass of a different object. After multiplying the first number by the second number your computer gets the output 31556.000000000000. Round this output using the right number of significant figures.
A. 31556.00 grams^2
B. 31500 grams^2
C. 32000 grams^2
Answer:


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 +/- 0.03 seconds takes a measurement of 43.92 seconds, and an odometer with a precision of +/- 100 meters measures a distance as 989000 meters. You multiply the two values with a computer and get the output 43436880.000000000000. When this output is reported to the suitable number of significant figures, what do we get?
A. 43436800 meter-seconds
B. 43436880.0000 meter-seconds
C. 43440000 meter-seconds
Answer:


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 +/- 0.0002 meters takes a measurement of 0.0242 meters, and a hydraulic scale with a precision of +/- 1 grams measures a mass as 60 grams. After multiplying the first number by the second number your calculator produces the output 1.452000000000. How can we express this output to the proper level of precision?
A. 1.45 gram-meters
B. 1.5 gram-meters
C. 1 gram-meters
Answer:


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 +/- 10 meters measures a distance of 80 meters and a tape measure with a precision of +/- 0.004 meters reads 7.625 meters when measuring a distance between two different points. After multiplying the former value by the latter your computer gives the output 610.000000000000. If we write this output appropriately with respect to the number of significant figures, what is the result?
A. 610.0 meters^2
B. 600 meters^2
C. 610 meters^2
Answer:


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 +/- 0.03 liters takes a measurement of 51.57 liters, and a balance with a precision of +/- 200 grams measures a mass as 200 grams. You multiply the two numbers with a calculator and get the output 10314.000000000000. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 10300 gram-liters
B. 10314.0 gram-liters
C. 10000 gram-liters
Answer:


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 +/- 4000 meters measures a distance of 7922000 meters and a storage container with a precision of +/- 0.1 liters measures a volume as 53.2 liters. Your calculator produces the solution 421450400.000000000000 when multiplying the first value by the second value. Using the suitable level of precision, what is the result?
A. 421450000 liter-meters
B. 421000000 liter-meters
C. 421450400.000 liter-meters
Answer:


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 +/- 30 grams takes a measurement of 3350 grams, and a radar-based method with a precision of +/- 40 meters measures a distance as 60 meters. Using a calculator, you multiply the first number by the second number and get the solution 201000.000000000000. Round this solution using the appropriate number of significant figures.
A. 200000 gram-meters
B. 201000.0 gram-meters
C. 201000 gram-meters
Answer:


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 +/- 1 meters takes a measurement of 371 meters, and a graduated cylinder with a precision of +/- 0.003 liters reads 0.035 liters when measuring a volume. After multiplying the values your calculator app gets the output 12.985000000000. If we express this output correctly with respect to the level of precision, what is the result?
A. 12 liter-meters
B. 13 liter-meters
C. 12.98 liter-meters
Answer:


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 +/- 0.3 meters measures a distance of 39.6 meters and a clickwheel with a precision of +/- 0.01 meters measures a distance between two different points as 72.24 meters. You multiply the first value by the second value with a calculator app and get the output 2860.704000000000. Using the suitable level of precision, what is the result?
A. 2860.704 meters^2
B. 2860.7 meters^2
C. 2860 meters^2
Answer:


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 +/- 10 grams takes a measurement of 94870 grams, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 0.49 liters. Your calculator produces the solution 46486.300000000000 when multiplying the two values. How would this answer look if we wrote it with the right level of precision?
A. 46000 gram-liters
B. 46480 gram-liters
C. 46486.30 gram-liters
Answer:


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 +/- 0.3 meters takes a measurement of 369.2 meters, and a rangefinder with a precision of +/- 1 meters measures a distance between two different points as 2 meters. Your calculator gives the solution 738.400000000000 when multiplying the first number by the second number. When this solution is expressed to the appropriate number of significant figures, what do we get?
A. 738.4 meters^2
B. 700 meters^2
C. 738 meters^2
Answer:


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 +/- 0.03 grams takes a measurement of 24.70 grams, and a stopwatch with a precision of +/- 0.03 seconds reads 2.09 seconds when measuring a duration. Using a computer, you multiply the two values and get the solution 51.623000000000. Round this solution using the appropriate level of precision.
A. 51.6 gram-seconds
B. 51.623 gram-seconds
C. 51.62 gram-seconds
Answer:


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 +/- 0.00003 meters takes a measurement of 0.00878 meters, and a measuring rod with a precision of +/- 0.02 meters reads 1.45 meters when measuring a distance between two different points. Using a computer, you multiply the first number by the second number and get the output 0.012731000000. How would this answer look if we wrote it with the proper level of precision?
A. 0.01 meters^2
B. 0.013 meters^2
C. 0.0127 meters^2
Answer:


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 +/- 40 meters takes a measurement of 6300 meters, and a stopwatch with a precision of +/- 0.03 seconds reads 13.74 seconds when measuring a duration. You multiply the numbers with a calculator app and get the solution 86562.000000000000. How can we express this solution to the correct level of precision?
A. 86600 meter-seconds
B. 86562.000 meter-seconds
C. 86560 meter-seconds
Answer:


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 +/- 200 grams takes a measurement of 83600 grams, and a cathetometer with a precision of +/- 0.00001 meters reads 0.00760 meters when measuring a distance. You multiply the two values with a calculator app and get the solution 635.360000000000. Report this solution using the correct number of significant figures.
A. 635.360 gram-meters
B. 635 gram-meters
C. 600 gram-meters
Answer:


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 +/- 0.4 meters takes a measurement of 523.3 meters, and a rangefinder with a precision of +/- 0.1 meters measures a distance between two different points as 3.0 meters. You multiply the numbers with a calculator and get the solution 1569.900000000000. If we write this solution to the proper level of precision, what is the result?
A. 1569.90 meters^2
B. 1569.9 meters^2
C. 1600 meters^2
Answer:


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 +/- 30 liters measures a volume of 7380 liters and a measuring tape with a precision of +/- 0.01 meters measures a distance as 86.55 meters. Your calculator gives the output 638739.000000000000 when multiplying the first number by the second number. Report this output using the correct level of precision.
A. 638730 liter-meters
B. 638739.000 liter-meters
C. 639000 liter-meters
Answer:


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 280 meters, and a chronograph with a precision of +/- 0.001 seconds reads 0.298 seconds when measuring a duration. You multiply the numbers with a calculator app and get the output 83.440000000000. Using the correct level of precision, what is the answer?
A. 80 meter-seconds
B. 83.44 meter-seconds
C. 83 meter-seconds
Answer:


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 takes a measurement of 0.5138 seconds, and an odometer with a precision of +/- 300 meters reads 983200 meters when measuring a distance. Using a computer, you multiply the first number by the second number and get the output 505168.160000000000. How would this answer look if we reported it with the proper number of significant figures?
A. 505168.1600 meter-seconds
B. 505200 meter-seconds
C. 505100 meter-seconds
Answer:


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 +/- 0.3 meters takes a measurement of 4.6 meters, and an analytical balance with a precision of +/- 10 grams measures a mass as 570 grams. You multiply the numbers with a calculator and get the solution 2622.000000000000. When this solution is rounded to the appropriate level of precision, what do we get?
A. 2622.00 gram-meters
B. 2620 gram-meters
C. 2600 gram-meters
Answer:


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 93400 meters and a meter stick with a precision of +/- 0.0004 meters reads 0.0015 meters when measuring a distance between two different points. Your calculator gives the solution 140.100000000000 when multiplying the first value by the second value. If we write this solution to the appropriate number of significant figures, what is the answer?
A. 100 meters^2
B. 140 meters^2
C. 140.10 meters^2
Answer:


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 +/- 300 meters measures a distance of 40200 meters and a ruler with a precision of +/- 0.02 meters measures a distance between two different points as 0.04 meters. After multiplying the numbers your calculator app gives the solution 1608.000000000000. Using the proper level of precision, what is the result?
A. 2000 meters^2
B. 1600 meters^2
C. 1608.0 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 +/- 0.4 seconds takes a measurement of 0.4 seconds, and a radar-based method with a precision of +/- 30 meters measures a distance as 850 meters. Using a calculator app, you multiply the former number by the latter and get the output 340.000000000000. If we express this output to the suitable level of precision, what is the answer?
A. 340 meter-seconds
B. 300 meter-seconds
C. 340.0 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 +/- 3 grams measures a mass of 83 grams and a measuring tape with a precision of +/- 0.4 meters measures a distance as 0.9 meters. Your calculator app gives the output 74.700000000000 when multiplying the two numbers. How can we write this output to the appropriate level of precision?
A. 70 gram-meters
B. 74 gram-meters
C. 74.7 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 coincidence telemeter with a precision of +/- 300 meters takes a measurement of 1000 meters, and a caliper with a precision of +/- 0.02 meters reads 20.68 meters when measuring a distance between two different points. Your calculator app gives the output 20680.000000000000 when multiplying the numbers. How can we write this output to the suitable level of precision?
A. 21000 meters^2
B. 20600 meters^2
C. 20680.00 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 stopwatch with a precision of +/- 0.03 seconds takes a measurement of 14.74 seconds, and a storage container with a precision of +/- 0.2 liters measures a volume as 5.7 liters. After multiplying the values your calculator app yields the solution 84.018000000000. Report this solution using the proper number of significant figures.
A. 84.0 liter-seconds
B. 84.02 liter-seconds
C. 84 liter-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 spring scale with a precision of +/- 400 grams takes a measurement of 778900 grams, and a stopwatch with a precision of +/- 0.2 seconds measures a duration as 0.5 seconds. You multiply the first number by the second number with a computer and get the output 389450.000000000000. Write this output using the correct number of significant figures.
A. 400000 gram-seconds
B. 389400 gram-seconds
C. 389450.0 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 +/- 1 grams takes a measurement of 1 grams, and a ruler with a precision of +/- 0.2 meters reads 37.0 meters when measuring a distance. Your computer yields the solution 37.000000000000 when multiplying the first value by the second value. Using the proper level of precision, what is the result?
A. 37.0 gram-meters
B. 40 gram-meters
C. 37 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 caliper with a precision of +/- 0.02 meters measures a distance of 34.70 meters and an odometer with a precision of +/- 300 meters measures a distance between two different points as 300600 meters. After multiplying the two numbers your calculator app gets the solution 10430820.000000000000. When this solution is rounded to the correct number of significant figures, what do we get?
A. 10430000 meters^2
B. 10430820.0000 meters^2
C. 10430800 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 +/- 30 meters measures a distance of 50 meters and a hydraulic scale with a precision of +/- 3000 grams reads 173000 grams when measuring a mass. You multiply the former value by the latter with a computer and get the solution 8650000.000000000000. If we round this solution suitably with respect to the number of significant figures, what is the result?
A. 9000000 gram-meters
B. 8650000 gram-meters
C. 8650000.0 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 analytical balance with a precision of +/- 0.2 grams takes a measurement of 19.9 grams, and a coincidence telemeter with a precision of +/- 400 meters measures a distance as 900 meters. After multiplying the values your calculator app yields the solution 17910.000000000000. Using the right level of precision, what is the result?
A. 17900 gram-meters
B. 17910.0 gram-meters
C. 20000 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 measuring stick with a precision of +/- 0.02 meters takes a measurement of 2.41 meters, and a radar-based method with a precision of +/- 20 meters reads 5820 meters when measuring a distance between two different points. After multiplying the two numbers your calculator app yields the solution 14026.200000000000. How can we write this solution to the proper number of significant figures?
A. 14020 meters^2
B. 14026.200 meters^2
C. 14000 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 rangefinder with a precision of +/- 0.4 meters takes a measurement of 67.2 meters, and a spring scale with a precision of +/- 2000 grams reads 3000 grams when measuring a mass. You multiply the values with a computer and get the solution 201600.000000000000. How can we write this solution to the right number of significant figures?
A. 201000 gram-meters
B. 201600.0 gram-meters
C. 200000 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 coincidence telemeter with a precision of +/- 0.4 meters takes a measurement of 44.5 meters, and a radar-based method with a precision of +/- 2 meters measures a distance between two different points as 93 meters. Using a calculator app, you multiply the former value by the latter and get the solution 4138.500000000000. How would this result look if we expressed it with the appropriate number of significant figures?
A. 4100 meters^2
B. 4138.50 meters^2
C. 4138 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 +/- 400 meters measures a distance of 4300 meters and a balance with a precision of +/- 0.0003 grams reads 0.0399 grams when measuring a mass. After multiplying the two values your calculator app produces the solution 171.570000000000. When this solution is written to the suitable number of significant figures, what do we get?
A. 171.57 gram-meters
B. 100 gram-meters
C. 170 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 chronograph with a precision of +/- 0.1 seconds measures a duration of 328.2 seconds and a measuring stick with a precision of +/- 0.002 meters measures a distance as 0.727 meters. You multiply the two numbers with a calculator app and get the output 238.601400000000. When this output is written to the right number of significant figures, what do we get?
A. 238.6 meter-seconds
B. 239 meter-seconds
C. 238.601 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 +/- 0.3 meters measures a distance of 832.3 meters and a rangefinder with a precision of +/- 0.002 meters reads 8.252 meters when measuring a distance between two different points. You multiply the first number by the second number with a calculator app and get the solution 6868.139600000000. If we write this solution to the proper level of precision, what is the result?
A. 6868 meters^2
B. 6868.1 meters^2
C. 6868.1396 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 rod with a precision of +/- 0.001 meters measures a distance of 5.488 meters and a stopwatch with a precision of +/- 0.1 seconds reads 3.6 seconds when measuring a duration. You multiply the former number by the latter with a calculator and get the output 19.756800000000. If we express this output appropriately with respect to the number of significant figures, what is the answer?
A. 19.76 meter-seconds
B. 20 meter-seconds
C. 19.8 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 cathetometer with a precision of +/- 0.00001 meters measures a distance of 0.05492 meters and a ruler with a precision of +/- 0.04 meters measures a distance between two different points as 62.38 meters. You multiply the numbers with a computer and get the solution 3.425909600000. If we express this solution to the proper level of precision, what is the answer?
A. 3.43 meters^2
B. 3.426 meters^2
C. 3.4259 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 storage container with a precision of +/- 20 liters measures a volume of 8700 liters and a measuring stick with a precision of +/- 0.02 meters reads 0.09 meters when measuring a distance. You multiply the first value by the second value with a calculator app and get the output 783.000000000000. When this output is reported to the appropriate level of precision, what do we get?
A. 780 liter-meters
B. 783.0 liter-meters
C. 800 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 hydraulic scale with a precision of +/- 0.3 grams takes a measurement of 83.4 grams, and a measuring tape with a precision of +/- 0.04 meters measures a distance as 5.39 meters. Your computer gets the output 449.526000000000 when multiplying the first value by the second value. How would this answer look if we expressed it with the proper level of precision?
A. 450 gram-meters
B. 449.5 gram-meters
C. 449.526 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 graduated cylinder with a precision of +/- 0.003 liters measures a volume of 7.732 liters and a measuring tape with a precision of +/- 0.4 meters reads 35.8 meters when measuring a distance. You multiply the first value by the second value with a calculator and get the solution 276.805600000000. Write this solution using the appropriate level of precision.
A. 276.806 liter-meters
B. 277 liter-meters
C. 276.8 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).
---

An analytical balance with a precision of +/- 2 grams takes a measurement of 199 grams, and a Biltmore stick with a precision of +/- 0.04 meters measures a distance as 0.12 meters. Using a calculator, you multiply the first value by the second value and get the solution 23.880000000000. Using the right level of precision, what is the result?
A. 23 gram-meters
B. 23.88 gram-meters
C. 24 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 25.77 seconds and a storage container with a precision of +/- 10 liters measures a volume as 4390 liters. You multiply the first value by the second value with a calculator app and get the solution 113130.300000000000. Write this solution using the appropriate number of significant figures.
A. 113130 liter-seconds
B. 113000 liter-seconds
C. 113130.300 liter-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 +/- 100 grams takes a measurement of 68100 grams, and a balance with a precision of +/- 3 grams reads 1 grams when measuring a mass of a different object. After multiplying the former number by the latter your calculator app yields the output 68100.000000000000. Using the proper level of precision, what is the result?
A. 70000 grams^2
B. 68100.0 grams^2
C. 68100 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).
---

A graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 0.007 liters, and an analytical balance with a precision of +/- 1 grams reads 408 grams when measuring a mass. Your calculator app produces the output 2.856000000000 when multiplying the values. How would this answer look if we reported it with the right number of significant figures?
A. 2 gram-liters
B. 3 gram-liters
C. 2.9 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 balance with a precision of +/- 1 grams takes a measurement of 4734 grams, and a measuring rod with a precision of +/- 0.002 meters measures a distance as 3.765 meters. Using a computer, you multiply the numbers and get the solution 17823.510000000000. If we report this solution correctly with respect to the number of significant figures, what is the result?
A. 17820 gram-meters
B. 17823 gram-meters
C. 17823.5100 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 tape measure with a precision of +/- 0.003 meters takes a measurement of 0.995 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 31.35 meters when measuring a distance between two different points. Using a computer, you multiply the two values and get the output 31.193250000000. How would this answer look if we wrote it with the proper level of precision?
A. 31.19 meters^2
B. 31.193 meters^2
C. 31.2 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 +/- 200 meters measures a distance of 32200 meters and a radar-based method with a precision of +/- 2 meters reads 4862 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the output 156556400.000000000000. If we express this output properly with respect to the level of precision, what is the result?
A. 156556400.000 meters^2
B. 156556400 meters^2
C. 157000000 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 +/- 0.003 meters takes a measurement of 0.093 meters, and a radar-based method with a precision of +/- 4 meters reads 479 meters when measuring a distance between two different points. Your calculator yields the output 44.547000000000 when multiplying the first number by the second number. How would this result look if we wrote it with the correct level of precision?
A. 45 meters^2
B. 44 meters^2
C. 44.55 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 +/- 10 meters takes a measurement of 540 meters, and a chronograph with a precision of +/- 0.2 seconds measures a duration as 852.3 seconds. After multiplying the first value by the second value your calculator app produces the output 460242.000000000000. Using the right level of precision, what is the answer?
A. 460242.00 meter-seconds
B. 460240 meter-seconds
C. 460000 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 +/- 300 meters takes a measurement of 87200 meters, and a measuring stick with a precision of +/- 0.001 meters measures a distance between two different points as 5.936 meters. After multiplying the numbers your calculator app produces the solution 517619.200000000000. Using the suitable number of significant figures, what is the result?
A. 517619.200 meters^2
B. 518000 meters^2
C. 517600 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 takes a measurement of 97800 meters, and a spring scale with a precision of +/- 0.02 grams measures a mass as 3.74 grams. You multiply the former value by the latter with a calculator and get the solution 365772.000000000000. Express this solution using the correct number of significant figures.
A. 365772.000 gram-meters
B. 366000 gram-meters
C. 365700 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 +/- 0.02 meters takes a measurement of 50.93 meters, and an opisometer with a precision of +/- 2 meters measures a distance between two different points as 2046 meters. You multiply the values with a calculator app and get the solution 104202.780000000000. If we report this solution appropriately with respect to the number of significant figures, what is the result?
A. 104202.7800 meters^2
B. 104202 meters^2
C. 104200 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 +/- 0.3 meters takes a measurement of 7.9 meters, and a clickwheel with a precision of +/- 0.1 meters measures a distance between two different points as 73.2 meters. Your computer yields the output 578.280000000000 when multiplying the first number by the second number. How can we express this output to the appropriate level of precision?
A. 578.3 meters^2
B. 580 meters^2
C. 578.28 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 +/- 1 meters measures a distance of 5608 meters and a spring scale with a precision of +/- 20 grams measures a mass as 70 grams. You multiply the first number by the second number with a calculator app and get the solution 392560.000000000000. Using the right level of precision, what is the answer?
A. 392560.0 gram-meters
B. 392560 gram-meters
C. 400000 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 +/- 2000 meters takes a measurement of 272000 meters, and a measuring rod with a precision of +/- 0.0002 meters reads 0.3580 meters when measuring a distance between two different points. Your calculator app gets the output 97376.000000000000 when multiplying the first number by the second number. How would this answer look if we rounded it with the right level of precision?
A. 97000 meters^2
B. 97376.000 meters^2
C. 97400 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 measures a volume of 0.089 liters and a meter stick with a precision of +/- 0.0004 meters reads 0.0761 meters when measuring a distance. Your calculator app yields the output 0.006772900000 when multiplying the first value by the second value. If we express this output correctly with respect to the number of significant figures, what is the answer?
A. 0.0068 liter-meters
B. 0.007 liter-meters
C. 0.01 liter-meters
Answer: