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 0.6 meters, and a storage container with a precision of +/- 4 liters reads 7377 liters when measuring a volume. Your calculator yields the solution 4426.200000000000 when multiplying the numbers. How would this result look if we rounded it with the appropriate level of precision?
A. 4426 liter-meters
B. 4000 liter-meters
C. 4426.2 liter-meters
D. 4426.200000000000 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 biltmore stick with a precision of +/- 0.2 meters measures a distance of 482.3 meters and a coincidence telemeter with a precision of +/- 30 meters reads 3830 meters when measuring a distance between two different points. Your calculator app yields the solution 1847209.000000000000 when multiplying the first number by the second number. Using the correct number of significant figures, what is the answer?
A. 1850000 meters^2
B. 1847209.000 meters^2
C. 1847209.000000000000 meters^2
D. 1847200 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 +/- 0.1 seconds measures a duration of 318.8 seconds and a stadimeter with a precision of +/- 40 meters measures a distance as 7740 meters. You multiply the former value by the latter with a calculator app and get the output 2467512.000000000000. If we write this output to the right level of precision, what is the result?
A. 2467510 meter-seconds
B. 2467512.000 meter-seconds
C. 2467512.000000000000 meter-seconds
D. 2470000 meter-seconds
Answer:


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

A rangefinder with a precision of +/- 0.01 meters takes a measurement of 0.58 meters, and a measuring tape with a precision of +/- 0.3 meters reads 44.3 meters when measuring a distance between two different points. Using a calculator app, you multiply the two values and get the output 25.694000000000. Write this output using the correct level of precision.
A. 26 meters^2
B. 25.69 meters^2
C. 25.7 meters^2
D. 25.694000000000 meters^2
Answer:


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

A chronograph with a precision of +/- 0.02 seconds measures a duration of 0.42 seconds and a timer with a precision of +/- 0.004 seconds measures a duration of a different event as 0.004 seconds. Your calculator yields the output 105.000000000000 when dividing the first value by the second value. Using the right number of significant figures, what is the result?
A. 105.000000000000
B. 105.0
C. 105.00
D. 100
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 397200 meters, and a chronograph with a precision of +/- 0.004 seconds measures a duration as 4.411 seconds. Your calculator yields the solution 90047.608252097030 when dividing the first number by the second number. If we round this solution suitably with respect to the level of precision, what is the answer?
A. 90050 meters/second
B. 90047.6083 meters/second
C. 90000 meters/second
D. 90047.608252097030 meters/second
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 400 meters and a tape measure with a precision of +/- 0.001 meters reads 0.849 meters when measuring a distance between two different points. After dividing the values your calculator app gets the solution 471.142520612485. If we round this solution to the appropriate number of significant figures, what is the result?
A. 471.1
B. 400
C. 500
D. 471.142520612485
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 +/- 0.004 meters takes a measurement of 0.058 meters, and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.098 meters. After multiplying the two numbers your computer gives the solution 0.005684000000. How would this result look if we expressed it with the appropriate number of significant figures?
A. 0.006 meters^2
B. 0.01 meters^2
C. 0.0057 meters^2
D. 0.005684000000 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 +/- 0.003 meters measures a distance of 0.037 meters and a cathetometer with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0052 meters. After dividing the two numbers your calculator app yields the output 7.115384615385. How would this answer look if we rounded it with the correct number of significant figures?
A. 7.115384615385
B. 7.115
C. 7.12
D. 7.1
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 +/- 0.003 seconds takes a measurement of 4.892 seconds, and a balance with a precision of +/- 4 grams measures a mass as 3 grams. You multiply the first value by the second value with a calculator app and get the output 14.676000000000. Using the correct number of significant figures, what is the result?
A. 14.7 gram-seconds
B. 10 gram-seconds
C. 14.676000000000 gram-seconds
D. 14 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 chronograph with a precision of +/- 0.3 seconds takes a measurement of 66.2 seconds, and an opisometer with a precision of +/- 4 meters measures a distance as 45 meters. You multiply the first number by the second number with a calculator app and get the output 2979.000000000000. If we round this output to the correct number of significant figures, what is the answer?
A. 2979.00 meter-seconds
B. 3000 meter-seconds
C. 2979 meter-seconds
D. 2979.000000000000 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 caliper with a precision of +/- 0.002 meters measures a distance of 7.270 meters and a radar-based method with a precision of +/- 1 meters measures a distance between two different points as 54 meters. You multiply the former value by the latter with a computer and get the solution 392.580000000000. How can we write this solution to the correct number of significant figures?
A. 392.58 meters^2
B. 392 meters^2
C. 392.580000000000 meters^2
D. 390 meters^2
Answer:


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

A tape measure with a precision of +/- 0.004 meters takes a measurement of 0.006 meters, and a cathetometer with a precision of +/- 0.00003 meters reads 0.00149 meters when measuring a distance between two different points. You divide the first value by the second value with a computer and get the output 4.026845637584. How would this result look if we reported it with the proper number of significant figures?
A. 4.026845637584
B. 4
C. 4.027
D. 4.0
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 +/- 10 grams takes a measurement of 5980 grams, and an analytical balance with a precision of +/- 0.02 grams measures a mass of a different object as 4.18 grams. Using a calculator, you multiply the former value by the latter and get the solution 24996.400000000000. If we round this solution to the suitable number of significant figures, what is the result?
A. 24996.400000000000 grams^2
B. 24990 grams^2
C. 24996.400 grams^2
D. 25000 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 radar-based method with a precision of +/- 1 meters takes a measurement of 3685 meters, and a measuring rod with a precision of +/- 0.01 meters measures a distance between two different points as 0.10 meters. You multiply the values with a computer and get the solution 368.500000000000. If we round this solution to the proper number of significant figures, what is the result?
A. 368 meters^2
B. 368.500000000000 meters^2
C. 370 meters^2
D. 368.50 meters^2
Answer:


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

An odometer with a precision of +/- 200 meters measures a distance of 41800 meters and a balance with a precision of +/- 300 grams measures a mass as 55500 grams. Using a calculator, you multiply the former value by the latter and get the output 2319900000.000000000000. When this output is rounded to the proper number of significant figures, what do we get?
A. 2320000000 gram-meters
B. 2319900000 gram-meters
C. 2319900000.000000000000 gram-meters
D. 2319900000.000 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).
---

A chronograph with a precision of +/- 0.03 seconds measures a duration of 12.25 seconds and a stopwatch with a precision of +/- 0.1 seconds reads 221.7 seconds when measuring a duration of a different event. After dividing the two values your calculator yields the output 0.055254848895. How can we round this output to the right number of significant figures?
A. 0.1
B. 0.055254848895
C. 0.05525
D. 0.0553
Answer:


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

A measuring tape with a precision of +/- 0.2 meters measures a distance of 712.2 meters and an opisometer with a precision of +/- 2 meters measures a distance between two different points as 325 meters. Your computer yields the solution 231465.000000000000 when multiplying the numbers. How can we report this solution to the appropriate number of significant figures?
A. 231465.000 meters^2
B. 231000 meters^2
C. 231465.000000000000 meters^2
D. 231465 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 +/- 30 meters takes a measurement of 7520 meters, and a measuring tape with a precision of +/- 0.02 meters measures a distance between two different points as 0.08 meters. You divide the former number by the latter with a calculator app and get the solution 94000.000000000000. Write this solution using the correct level of precision.
A. 94000
B. 94000.000000000000
C. 94000.0
D. 90000
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 takes a measurement of 2600 meters, and a rangefinder with a precision of +/- 0.2 meters reads 0.4 meters when measuring a distance between two different points. Using a calculator, you divide the first number by the second number and get the solution 6500.000000000000. If we write this solution appropriately with respect to the level of precision, what is the answer?
A. 6500.0
B. 6000
C. 6500
D. 6500.000000000000
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 +/- 40 meters takes a measurement of 96200 meters, and a caliper with a precision of +/- 0.01 meters reads 0.75 meters when measuring a distance between two different points. Using a computer, you multiply the former number by the latter and get the solution 72150.000000000000. How can we round this solution to the proper level of precision?
A. 72150.000000000000 meters^2
B. 72150.00 meters^2
C. 72150 meters^2
D. 72000 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 6.74 meters, and a stadimeter with a precision of +/- 100 meters measures a distance between two different points as 2400 meters. Using a calculator, you multiply the former number by the latter and get the output 16176.000000000000. How would this answer look if we rounded it with the proper level of precision?
A. 16000 meters^2
B. 16176.000000000000 meters^2
C. 16176.00 meters^2
D. 16100 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 +/- 0.4 meters takes a measurement of 140.2 meters, and a tape measure with a precision of +/- 0.001 meters reads 0.094 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator app yields the solution 13.178800000000. Report this solution using the proper number of significant figures.
A. 13.178800000000 meters^2
B. 13.18 meters^2
C. 13 meters^2
D. 13.2 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 hydraulic scale with a precision of +/- 1 grams measures a mass of 6627 grams and an opisometer with a precision of +/- 2 meters measures a distance as 8 meters. Using a calculator app, you multiply the former number by the latter and get the output 53016.000000000000. How can we express this output to the appropriate level of precision?
A. 53016 gram-meters
B. 53016.000000000000 gram-meters
C. 50000 gram-meters
D. 53016.0 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 balance with a precision of +/- 100 grams measures a mass of 333500 grams and an odometer with a precision of +/- 4000 meters reads 9556000 meters when measuring a distance. After multiplying the first number by the second number your calculator yields the output 3186926000000.000000000000. Using the right number of significant figures, what is the answer?
A. 3187000000000 gram-meters
B. 3186926000000 gram-meters
C. 3186926000000.000000000000 gram-meters
D. 3186926000000.0000 gram-meters
Answer:


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

A radar-based method with a precision of +/- 400 meters measures a distance of 8200 meters and a spring scale with a precision of +/- 2000 grams reads 86000 grams when measuring a mass. Your calculator app produces the output 705200000.000000000000 when multiplying the former value by the latter. How can we write this output to the proper number of significant figures?
A. 710000000 gram-meters
B. 705200000.000000000000 gram-meters
C. 705200000.00 gram-meters
D. 705200000 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 +/- 0.03 meters measures a distance of 1.34 meters and a measuring flask with a precision of +/- 0.03 liters measures a volume as 0.06 liters. You divide the numbers with a computer and get the solution 22.333333333333. How would this answer look if we wrote it with the suitable level of precision?
A. 22.333333333333 meters/liter
B. 22.3 meters/liter
C. 20 meters/liter
D. 22.33 meters/liter
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 +/- 0.001 seconds takes a measurement of 0.066 seconds, and a balance with a precision of +/- 3 grams measures a mass as 29 grams. Using a calculator app, you multiply the two values and get the solution 1.914000000000. How can we express this solution to the right number of significant figures?
A. 1.9 gram-seconds
B. 1.914000000000 gram-seconds
C. 1 gram-seconds
D. 1.91 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 timer with a precision of +/- 0.004 seconds measures a duration of 0.058 seconds and a timer with a precision of +/- 0.004 seconds measures a duration of a different event as 0.090 seconds. After multiplying the numbers your calculator app yields the output 0.005220000000. If we round this output to the right level of precision, what is the answer?
A. 0.005220000000 seconds^2
B. 0.005 seconds^2
C. 0.01 seconds^2
D. 0.0052 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 ruler with a precision of +/- 0.4 meters measures a distance of 8.7 meters and a measuring stick with a precision of +/- 0.002 meters measures a distance between two different points as 0.449 meters. Using a calculator, you divide the numbers and get the output 19.376391982183. Using the suitable level of precision, what is the answer?
A. 19.38
B. 19.4
C. 19
D. 19.376391982183
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 +/- 20 meters measures a distance of 3460 meters and a cathetometer with a precision of +/- 0.0003 meters reads 0.0720 meters when measuring a distance between two different points. Your computer gives the output 48055.555555555556 when dividing the first number by the second number. Using the proper number of significant figures, what is the result?
A. 48055.555555555556
B. 48050
C. 48100
D. 48055.556
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 384.9 seconds, and a rangefinder with a precision of +/- 0.2 meters reads 2.2 meters when measuring a distance. Your computer gives the output 174.954545454545 when dividing the former number by the latter. If we round this output properly with respect to the number of significant figures, what is the answer?
A. 174.954545454545 seconds/meter
B. 170 seconds/meter
C. 174.95 seconds/meter
D. 175.0 seconds/meter
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 8.095 liters, and a radar-based method with a precision of +/- 300 meters reads 9900 meters when measuring a distance. Using a calculator app, you multiply the first value by the second value and get the output 80140.500000000000. If we write this output properly with respect to the level of precision, what is the result?
A. 80140.500000000000 liter-meters
B. 80000 liter-meters
C. 80100 liter-meters
D. 80140.50 liter-meters
Answer:


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

A coincidence telemeter with a precision of +/- 1 meters measures a distance of 2 meters and a radar-based method with a precision of +/- 300 meters measures a distance between two different points as 8000 meters. Using a calculator, you multiply the former value by the latter and get the solution 16000.000000000000. If we express this solution suitably with respect to the level of precision, what is the result?
A. 20000 meters^2
B. 16000 meters^2
C. 16000.000000000000 meters^2
D. 16000.0 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.281 liters, and a stadimeter with a precision of +/- 20 meters reads 3720 meters when measuring a distance. Using a calculator, you multiply the former number by the latter and get the output 1045.320000000000. If we write this output to the correct number of significant figures, what is the result?
A. 1040 liter-meters
B. 1050 liter-meters
C. 1045.320 liter-meters
D. 1045.320000000000 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 tape measure with a precision of +/- 0.001 meters measures a distance of 0.010 meters and a cathetometer with a precision of +/- 0.0001 meters reads 0.0009 meters when measuring a distance between two different points. Using a calculator app, you divide the first number by the second number and get the solution 11.111111111111. If we express this solution properly with respect to the number of significant figures, what is the result?
A. 11.1
B. 11.111111111111
C. 11.111
D. 10
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 +/- 0.04 meters takes a measurement of 3.17 meters, and a coincidence telemeter with a precision of +/- 30 meters measures a distance between two different points as 840 meters. Using a computer, you multiply the values and get the solution 2662.800000000000. If we write this solution to the proper level of precision, what is the result?
A. 2662.800000000000 meters^2
B. 2700 meters^2
C. 2660 meters^2
D. 2662.80 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 +/- 0.3 meters measures a distance of 131.9 meters and a measuring rod with a precision of +/- 0.02 meters measures a distance between two different points as 49.14 meters. Your computer produces the output 6481.566000000000 when multiplying the two numbers. How would this answer look if we reported it with the correct number of significant figures?
A. 6481.6 meters^2
B. 6482 meters^2
C. 6481.5660 meters^2
D. 6481.566000000000 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 takes a measurement of 20720 liters, and a measuring tape with a precision of +/- 0.4 meters measures a distance as 5.0 meters. After multiplying the former value by the latter your computer produces the output 103600.000000000000. How can we express this output to the right level of precision?
A. 103600.00 liter-meters
B. 103600 liter-meters
C. 103600.000000000000 liter-meters
D. 100000 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 odometer with a precision of +/- 2000 meters takes a measurement of 93000 meters, and a measuring flask with a precision of +/- 0.04 liters measures a volume as 0.40 liters. Your computer yields the solution 232500.000000000000 when dividing the first number by the second number. How can we write this solution to the suitable number of significant figures?
A. 232500.000000000000 meters/liter
B. 230000 meters/liter
C. 232500.00 meters/liter
D. 232000 meters/liter
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 2400 meters and a storage container with a precision of +/- 30 liters reads 5340 liters when measuring a volume. Using a calculator, you multiply the first number by the second number and get the solution 12816000.000000000000. How would this result look if we expressed it with the proper level of precision?
A. 12816000 liter-meters
B. 13000000 liter-meters
C. 12816000.000000000000 liter-meters
D. 12816000.00 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 coincidence telemeter with a precision of +/- 1 meters measures a distance of 8314 meters and a stadimeter with a precision of +/- 400 meters measures a distance between two different points as 500 meters. Using a computer, you multiply the former value by the latter and get the solution 4157000.000000000000. How can we write this solution to the proper level of precision?
A. 4000000 meters^2
B. 4157000 meters^2
C. 4157000.000000000000 meters^2
D. 4157000.0 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).
---

An odometer with a precision of +/- 400 meters takes a measurement of 802600 meters, and a graduated cylinder with a precision of +/- 0.003 liters reads 4.687 liters when measuring a volume. After multiplying the former number by the latter your calculator gives the output 3761786.200000000000. When this output is written to the correct level of precision, what do we get?
A. 3762000 liter-meters
B. 3761786.2000 liter-meters
C. 3761786.200000000000 liter-meters
D. 3761700 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 flask with a precision of +/- 0.003 liters takes a measurement of 0.094 liters, and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.00016 seconds. After dividing the first number by the second number your computer yields the output 587.500000000000. If we report this output correctly with respect to the level of precision, what is the answer?
A. 590 liters/second
B. 587.500000000000 liters/second
C. 587.500 liters/second
D. 587.50 liters/second
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 0.4 meters, and a balance with a precision of +/- 3 grams reads 386 grams when measuring a mass. After multiplying the former number by the latter your calculator app gets the solution 154.400000000000. Round this solution using the appropriate number of significant figures.
A. 200 gram-meters
B. 154 gram-meters
C. 154.4 gram-meters
D. 154.400000000000 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 +/- 0.2 meters measures a distance of 738.5 meters and a timer with a precision of +/- 0.004 seconds reads 0.198 seconds when measuring a duration. You divide the first number by the second number with a computer and get the output 3729.797979797980. When this output is written to the proper level of precision, what do we get?
A. 3729.797979797980 meters/second
B. 3729.8 meters/second
C. 3730 meters/second
D. 3729.798 meters/second
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 0.07 seconds, and a chronometer with a precision of +/- 0.00004 seconds measures a duration of a different event as 0.00001 seconds. After dividing the values your calculator app gives the solution 7000.000000000000. If we write this solution suitably with respect to the level of precision, what is the result?
A. 7000.00
B. 7000.0
C. 7000
D. 7000.000000000000
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 +/- 30 meters measures a distance of 60 meters and a chronograph with a precision of +/- 0.03 seconds reads 0.09 seconds when measuring a duration. Your computer gets the output 666.666666666667 when dividing the first number by the second number. If we write this output properly with respect to the level of precision, what is the answer?
A. 666.7 meters/second
B. 700 meters/second
C. 660 meters/second
D. 666.666666666667 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.2 meters takes a measurement of 7.6 meters, and a measuring flask with a precision of +/- 0.01 liters measures a volume as 60.61 liters. Your computer produces the solution 460.636000000000 when multiplying the first number by the second number. If we round this solution to the correct level of precision, what is the answer?
A. 460.636000000000 liter-meters
B. 460 liter-meters
C. 460.6 liter-meters
D. 460.64 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 +/- 1 meters takes a measurement of 2590 meters, and a radar-based method with a precision of +/- 30 meters reads 10 meters when measuring a distance between two different points. You divide the two numbers with a computer and get the solution 259.000000000000. If we write this solution to the proper level of precision, what is the answer?
A. 250
B. 259.000000000000
C. 300
D. 259.0
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 +/- 30 meters takes a measurement of 100 meters, and a clickwheel with a precision of +/- 0.02 meters measures a distance between two different points as 0.09 meters. After dividing the former value by the latter your computer gets the output 1111.111111111111. Round this output using the proper level of precision.
A. 1000
B. 1110
C. 1111.111111111111
D. 1111.1
Answer:


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

A stopwatch with a precision of +/- 0.4 seconds measures a duration of 421.6 seconds and an odometer with a precision of +/- 300 meters measures a distance as 600 meters. You multiply the former number by the latter with a computer and get the output 252960.000000000000. If we report this output suitably with respect to the level of precision, what is the answer?
A. 252900 meter-seconds
B. 252960.000000000000 meter-seconds
C. 252960.0 meter-seconds
D. 300000 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 +/- 0.2 meters measures a distance of 96.6 meters and a spring scale with a precision of +/- 100 grams measures a mass as 553800 grams. After multiplying the first number by the second number your computer gets the output 53497080.000000000000. If we report this output to the right level of precision, what is the result?
A. 53497000 gram-meters
B. 53497080.000000000000 gram-meters
C. 53500000 gram-meters
D. 53497080.000 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).
---

A balance with a precision of +/- 400 grams takes a measurement of 43000 grams, and a radar-based method with a precision of +/- 1 meters measures a distance as 6260 meters. You multiply the two numbers with a calculator and get the solution 269180000.000000000000. How would this result look if we reported it with the appropriate number of significant figures?
A. 269180000 gram-meters
B. 269000000 gram-meters
C. 269180000.000000000000 gram-meters
D. 269180000.000 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).
---

A chronometer with a precision of +/- 0.0003 seconds measures a duration of 0.0246 seconds and a meter stick with a precision of +/- 0.0002 meters reads 0.0099 meters when measuring a distance. You divide the former number by the latter with a calculator and get the solution 2.484848484848. If we write this solution correctly with respect to the number of significant figures, what is the result?
A. 2.4848 seconds/meter
B. 2.5 seconds/meter
C. 2.48 seconds/meter
D. 2.484848484848 seconds/meter
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 +/- 0.03 meters measures a distance of 0.81 meters and a hydraulic scale with a precision of +/- 0.0002 grams measures a mass as 0.0001 grams. After dividing the first number by the second number your calculator produces the output 8100.000000000000. How can we round this output to the correct number of significant figures?
A. 8100.0 meters/gram
B. 8100.00 meters/gram
C. 8000 meters/gram
D. 8100.000000000000 meters/gram
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 +/- 1 liters takes a measurement of 516 liters, and a timer with a precision of +/- 0.03 seconds reads 0.43 seconds when measuring a duration. Your computer produces the output 221.880000000000 when multiplying the first number by the second number. How can we report this output to the appropriate number of significant figures?
A. 221.880000000000 liter-seconds
B. 220 liter-seconds
C. 221 liter-seconds
D. 221.88 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 stopwatch with a precision of +/- 0.4 seconds takes a measurement of 686.3 seconds, and a balance with a precision of +/- 1 grams measures a mass as 38 grams. Your calculator app gets the output 26079.400000000000 when multiplying the first value by the second value. When this output is written to the correct level of precision, what do we get?
A. 26079 gram-seconds
B. 26079.40 gram-seconds
C. 26000 gram-seconds
D. 26079.400000000000 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 radar-based method with a precision of +/- 3 meters takes a measurement of 50 meters, and a measuring tape with a precision of +/- 0.1 meters reads 363.0 meters when measuring a distance between two different points. Your calculator gives the output 18150.000000000000 when multiplying the former value by the latter. Using the correct level of precision, what is the answer?
A. 18000 meters^2
B. 18150.000000000000 meters^2
C. 18150.00 meters^2
D. 18150 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 +/- 0.03 meters takes a measurement of 0.04 meters, and a measuring tape with a precision of +/- 0.02 meters reads 0.02 meters when measuring a distance between two different points. Your calculator app produces the solution 2.000000000000 when dividing the two numbers. Using the suitable number of significant figures, what is the answer?
A. 2.000000000000
B. 2
C. 2.00
D. 2.0
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 +/- 20 meters takes a measurement of 10 meters, and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 84.53 meters. You multiply the numbers with a calculator app and get the output 845.300000000000. Write this output using the correct number of significant figures.
A. 840 meters^2
B. 845.3 meters^2
C. 800 meters^2
D. 845.300000000000 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 +/- 0.1 meters measures a distance of 1.6 meters and a balance with a precision of +/- 4 grams reads 81 grams when measuring a mass. You multiply the two values with a calculator app and get the solution 129.600000000000. How can we report this solution to the right level of precision?
A. 129.60 gram-meters
B. 129.600000000000 gram-meters
C. 130 gram-meters
D. 129 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 +/- 0.1 seconds takes a measurement of 339.0 seconds, and a chronometer with a precision of +/- 0.0004 seconds reads 0.1130 seconds when measuring a duration of a different event. After dividing the former number by the latter your calculator app gets the output 3000.000000000000. Using the proper number of significant figures, what is the answer?
A. 3000
B. 3000.000000000000
C. 3000.0
D. 3000.0000
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 +/- 4 meters takes a measurement of 822 meters, and a rangefinder with a precision of +/- 0.2 meters reads 40.4 meters when measuring a distance between two different points. You multiply the former value by the latter with a computer and get the solution 33208.800000000000. If we express this solution correctly with respect to the level of precision, what is the result?
A. 33200 meters^2
B. 33208 meters^2
C. 33208.800 meters^2
D. 33208.800000000000 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 +/- 400 grams takes a measurement of 924200 grams, and a caliper with a precision of +/- 0.03 meters reads 14.49 meters when measuring a distance. Your calculator app gives the solution 13391658.000000000000 when multiplying the numbers. If we write this solution correctly with respect to the number of significant figures, what is the result?
A. 13391600 gram-meters
B. 13391658.0000 gram-meters
C. 13390000 gram-meters
D. 13391658.000000000000 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 +/- 0.03 meters takes a measurement of 88.32 meters, and a timer with a precision of +/- 0.03 seconds reads 14.37 seconds when measuring a duration. You multiply the two numbers with a calculator app and get the output 1269.158400000000. Write this output using the suitable level of precision.
A. 1269.158400000000 meter-seconds
B. 1269.1584 meter-seconds
C. 1269 meter-seconds
D. 1269.16 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 biltmore stick with a precision of +/- 0.3 meters takes a measurement of 5.3 meters, and a coincidence telemeter with a precision of +/- 40 meters measures a distance between two different points as 7480 meters. Using a calculator app, you multiply the former number by the latter and get the output 39644.000000000000. When this output is written to the correct level of precision, what do we get?
A. 40000 meters^2
B. 39640 meters^2
C. 39644.000000000000 meters^2
D. 39644.00 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 storage container with a precision of +/- 3 liters measures a volume of 1 liters and a measuring rod with a precision of +/- 0.003 meters measures a distance as 0.068 meters. Your calculator produces the solution 14.705882352941 when dividing the two numbers. If we write this solution to the proper level of precision, what is the answer?
A. 10 liters/meter
B. 14 liters/meter
C. 14.7 liters/meter
D. 14.705882352941 liters/meter
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 +/- 0.03 grams measures a mass of 2.48 grams and a timer with a precision of +/- 0.2 seconds measures a duration as 44.4 seconds. You divide the values with a computer and get the output 0.055855855856. Report this output using the suitable number of significant figures.
A. 0.1 grams/second
B. 0.0559 grams/second
C. 0.055855855856 grams/second
D. 0.056 grams/second
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 +/- 0.004 meters measures a distance of 0.032 meters and a storage container with a precision of +/- 3 liters measures a volume as 95 liters. Your calculator gives the solution 3.040000000000 when multiplying the numbers. When this solution is reported to the correct number of significant figures, what do we get?
A. 3.0 liter-meters
B. 3.04 liter-meters
C. 3 liter-meters
D. 3.040000000000 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 clickwheel with a precision of +/- 0.3 meters measures a distance of 58.6 meters and a chronograph with a precision of +/- 0.001 seconds reads 6.371 seconds when measuring a duration. Your calculator yields the solution 373.340600000000 when multiplying the values. If we report this solution to the right level of precision, what is the answer?
A. 373 meter-seconds
B. 373.3 meter-seconds
C. 373.340600000000 meter-seconds
D. 373.341 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 +/- 0.1 meters takes a measurement of 726.1 meters, and a spring scale with a precision of +/- 0.0003 grams reads 0.1404 grams when measuring a mass. Your calculator produces the output 5171.652421652422 when dividing the two numbers. How would this result look if we expressed it with the correct number of significant figures?
A. 5171.6524 meters/gram
B. 5171.7 meters/gram
C. 5171.652421652422 meters/gram
D. 5172 meters/gram
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 +/- 20 grams measures a mass of 820 grams and a tape measure with a precision of +/- 0.002 meters reads 0.009 meters when measuring a distance. Using a computer, you divide the numbers and get the solution 91111.111111111111. Express this solution using the appropriate level of precision.
A. 90000 grams/meter
B. 91111.111111111111 grams/meter
C. 91111.1 grams/meter
D. 91110 grams/meter
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 +/- 0.2 meters measures a distance of 556.5 meters and an odometer with a precision of +/- 100 meters measures a distance between two different points as 12000 meters. After multiplying the former value by the latter your calculator app gets the solution 6678000.000000000000. Write this solution using the suitable level of precision.
A. 6678000.000 meters^2
B. 6680000 meters^2
C. 6678000.000000000000 meters^2
D. 6678000 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 +/- 0.002 seconds takes a measurement of 0.836 seconds, and a ruler with a precision of +/- 0.2 meters reads 545.2 meters when measuring a distance. Using a calculator, you multiply the former value by the latter and get the solution 455.787200000000. How can we express this solution to the right number of significant figures?
A. 455.787200000000 meter-seconds
B. 455.787 meter-seconds
C. 456 meter-seconds
D. 455.8 meter-seconds
Answer: