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

A rangefinder with a precision of +/- 0.4 meters takes a measurement of 69.6 meters, and a hydraulic scale with a precision of +/- 4000 grams reads 9072000 grams when measuring a mass. After multiplying the first value by the second value your calculator app yields the solution 631411200.000000000000. If we round this solution appropriately with respect to the level of precision, what is the answer?
A. 631411200.000 gram-meters
B. 631411000 gram-meters
C. 631411200.000000000000 gram-meters
D. 631000000 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 +/- 0.003 grams measures a mass of 0.065 grams and an odometer with a precision of +/- 1000 meters reads 88000 meters when measuring a distance. You multiply the two numbers with a calculator app and get the solution 5720.000000000000. How would this answer look if we expressed it with the appropriate level of precision?
A. 5720.000000000000 gram-meters
B. 5700 gram-meters
C. 5000 gram-meters
D. 5720.00 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 +/- 20 grams takes a measurement of 90 grams, and a stadimeter with a precision of +/- 20 meters measures a distance as 420 meters. After multiplying the values your calculator gets the output 37800.000000000000. If we round this output properly with respect to the number of significant figures, what is the answer?
A. 37800 gram-meters
B. 37800.000000000000 gram-meters
C. 40000 gram-meters
D. 37800.0 gram-meters
Answer:


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

An analytical balance with a precision of +/- 1 grams takes a measurement of 6933 grams, and a coincidence telemeter with a precision of +/- 2 meters reads 548 meters when measuring a distance. Using a computer, you divide the former number by the latter and get the output 12.651459854015. Using the right number of significant figures, what is the answer?
A. 12.651 grams/meter
B. 12 grams/meter
C. 12.7 grams/meter
D. 12.651459854015 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 radar-based method with a precision of +/- 20 meters measures a distance of 870 meters and a caliper with a precision of +/- 0.01 meters reads 12.58 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator app gets the output 69.157392686804. When this output is expressed to the appropriate level of precision, what do we get?
A. 60
B. 69.157392686804
C. 69
D. 69.16
Answer:


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

A hydraulic scale with a precision of +/- 400 grams measures a mass of 1000 grams and a rangefinder with a precision of +/- 0.001 meters reads 0.130 meters when measuring a distance. Your calculator produces the output 7692.307692307692 when dividing the values. If we express this output properly with respect to the number of significant figures, what is the answer?
A. 7692.31 grams/meter
B. 7700 grams/meter
C. 7692.307692307692 grams/meter
D. 7600 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 balance with a precision of +/- 200 grams takes a measurement of 8800 grams, and a timer with a precision of +/- 0.01 seconds measures a duration as 0.34 seconds. Your computer gets the output 25882.352941176471 when dividing the former value by the latter. How would this result look if we rounded it with the appropriate number of significant figures?
A. 25800 grams/second
B. 26000 grams/second
C. 25882.352941176471 grams/second
D. 25882.35 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).
---

An odometer with a precision of +/- 3000 meters measures a distance of 4000 meters and a meter stick with a precision of +/- 0.0002 meters reads 0.0379 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator app and get the output 105540.897097625330. Write this output using the correct number of significant figures.
A. 100000
B. 105540.897097625330
C. 105000
D. 105540.9
Answer:


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

A clickwheel with a precision of +/- 0.1 meters measures a distance of 12.7 meters and a hydraulic scale with a precision of +/- 400 grams measures a mass as 600 grams. You multiply the former number by the latter with a calculator and get the solution 7620.000000000000. How would this result look if we rounded it with the suitable number of significant figures?
A. 7600 gram-meters
B. 8000 gram-meters
C. 7620.000000000000 gram-meters
D. 7620.0 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 stopwatch with a precision of +/- 0.003 seconds takes a measurement of 7.973 seconds, and a cathetometer with a precision of +/- 0.0001 meters reads 0.0010 meters when measuring a distance. After multiplying the former value by the latter your calculator app gets the solution 0.007973000000. Using the correct number of significant figures, what is the result?
A. 0.007973000000 meter-seconds
B. 0.0080 meter-seconds
C. 0.008 meter-seconds
D. 0.01 meter-seconds
Answer:


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

A hydraulic scale with a precision of +/- 1000 grams measures a mass of 7280000 grams and a balance with a precision of +/- 0.001 grams reads 0.005 grams when measuring a mass of a different object. Your computer gets the output 36400.000000000000 when multiplying the numbers. How can we report this output to the appropriate number of significant figures?
A. 36400.0 grams^2
B. 36400.000000000000 grams^2
C. 40000 grams^2
D. 36000 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 measuring stick with a precision of +/- 0.001 meters measures a distance of 0.005 meters and a measuring stick with a precision of +/- 0.001 meters measures a distance between two different points as 0.005 meters. Your computer yields the output 1.000000000000 when dividing the two numbers. Round this output using the right level of precision.
A. 1
B. 1.000
C. 1.000000000000
D. 1.0
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 cathetometer with a precision of +/- 0.0004 meters measures a distance of 0.0068 meters and a meter stick with a precision of +/- 0.0003 meters reads 0.0042 meters when measuring a distance between two different points. Your computer gives the output 1.619047619048 when dividing the first value by the second value. If we round this output correctly with respect to the number of significant figures, what is the answer?
A. 1.62
B. 1.6190
C. 1.619047619048
D. 1.6
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 +/- 0.001 meters takes a measurement of 0.390 meters, and a balance with a precision of +/- 0.0002 grams reads 0.0001 grams when measuring a mass. Using a calculator app, you divide the former value by the latter and get the output 3900.000000000000. How can we express this output to the right level of precision?
A. 3900.0 meters/gram
B. 3900.000000000000 meters/gram
C. 4000 meters/gram
D. 3900.000 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 graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.599 liters and a caliper with a precision of +/- 0.01 meters measures a distance as 0.07 meters. Your calculator app yields the solution 8.557142857143 when dividing the former value by the latter. How can we express this solution to the correct number of significant figures?
A. 9 liters/meter
B. 8.557142857143 liters/meter
C. 8.56 liters/meter
D. 8.6 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 biltmore stick with a precision of +/- 0.03 meters takes a measurement of 50.07 meters, and an analytical balance with a precision of +/- 10 grams reads 890 grams when measuring a mass. After multiplying the former value by the latter your calculator gives the solution 44562.300000000000. How would this answer look if we wrote it with the proper level of precision?
A. 45000 gram-meters
B. 44560 gram-meters
C. 44562.300000000000 gram-meters
D. 44562.30 gram-meters
Answer:


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

A hydraulic scale with a precision of +/- 40 grams takes a measurement of 10540 grams, and a rangefinder with a precision of +/- 30 meters reads 5860 meters when measuring a distance. Using a calculator, you multiply the values and get the solution 61764400.000000000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 61764400.000000000000 gram-meters
B. 61800000 gram-meters
C. 61764400 gram-meters
D. 61764400.000 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 measuring tape with a precision of +/- 0.02 meters takes a measurement of 95.80 meters, and a caliper with a precision of +/- 0.04 meters reads 64.18 meters when measuring a distance between two different points. Using a computer, you divide the values and get the solution 1.492676846370. Write this solution using the suitable level of precision.
A. 1.492676846370
B. 1.49
C. 1.4927
D. 1.493
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 481000 meters, and a Biltmore stick with a precision of +/- 0.3 meters measures a distance between two different points as 0.6 meters. You divide the two numbers with a computer and get the solution 801666.666666666667. Using the correct level of precision, what is the answer?
A. 801666.7
B. 801666.666666666667
C. 800000
D. 801000
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 takes a measurement of 600 grams, and a meter stick with a precision of +/- 0.0003 meters reads 0.0630 meters when measuring a distance. Using a computer, you divide the numbers and get the output 9523.809523809524. How can we round this output to the right level of precision?
A. 9520 grams/meter
B. 9523.809523809524 grams/meter
C. 9500 grams/meter
D. 9523.81 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 chronograph with a precision of +/- 0.1 seconds measures a duration of 693.1 seconds and a storage container with a precision of +/- 0.4 liters reads 7.0 liters when measuring a volume. Your calculator app gives the solution 4851.700000000000 when multiplying the former value by the latter. How can we round this solution to the correct level of precision?
A. 4851.70 liter-seconds
B. 4851.7 liter-seconds
C. 4900 liter-seconds
D. 4851.700000000000 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 measuring tape with a precision of +/- 0.01 meters measures a distance of 0.16 meters and a caliper with a precision of +/- 0.001 meters measures a distance between two different points as 0.009 meters. After dividing the first number by the second number your calculator yields the output 17.777777777778. If we express this output to the right level of precision, what is the result?
A. 17.777777777778
B. 17.8
C. 20
D. 17.78
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 measures a volume of 38 liters and a Biltmore stick with a precision of +/- 0.01 meters measures a distance as 6.22 meters. Your computer gives the solution 6.109324758842 when dividing the first number by the second number. How would this result look if we rounded it with the proper number of significant figures?
A. 6.109324758842 liters/meter
B. 6 liters/meter
C. 6.1 liters/meter
D. 6.11 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 tape measure with a precision of +/- 0.0004 meters takes a measurement of 0.0071 meters, and a balance with a precision of +/- 3 grams measures a mass as 412 grams. Your computer gives the output 2.925200000000 when multiplying the first number by the second number. Using the right number of significant figures, what is the result?
A. 2.93 gram-meters
B. 2 gram-meters
C. 2.9 gram-meters
D. 2.925200000000 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 ruler with a precision of +/- 0.3 meters measures a distance of 6.1 meters and a caliper with a precision of +/- 0.003 meters reads 0.083 meters when measuring a distance between two different points. After dividing the two values your calculator produces the solution 73.493975903614. Using the proper number of significant figures, what is the result?
A. 73.5
B. 73.493975903614
C. 73
D. 73.49
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 +/- 0.1 meters takes a measurement of 34.4 meters, and a clickwheel with a precision of +/- 0.03 meters reads 81.23 meters when measuring a distance between two different points. Using a computer, you multiply the two numbers and get the solution 2794.312000000000. If we express this solution to the suitable level of precision, what is the result?
A. 2794.312000000000 meters^2
B. 2790 meters^2
C. 2794.3 meters^2
D. 2794.312 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.03 meters measures a distance of 66.53 meters and a spring scale with a precision of +/- 0.01 grams reads 90.20 grams when measuring a mass. Using a calculator app, you multiply the former number by the latter and get the output 6001.006000000000. If we express this output to the right level of precision, what is the answer?
A. 6001.01 gram-meters
B. 6001.0060 gram-meters
C. 6001.006000000000 gram-meters
D. 6001 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 +/- 0.01 seconds measures a duration of 0.07 seconds and a chronometer with a precision of +/- 0.00003 seconds reads 0.03812 seconds when measuring a duration of a different event. You divide the two numbers with a computer and get the output 1.836306400839. If we write this output to the correct number of significant figures, what is the answer?
A. 2
B. 1.84
C. 1.836306400839
D. 1.8
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 +/- 0.03 meters takes a measurement of 91.71 meters, and a tape measure with a precision of +/- 0.002 meters reads 8.391 meters when measuring a distance between two different points. Using a calculator app, you multiply the numbers and get the solution 769.538610000000. When this solution is expressed to the right number of significant figures, what do we get?
A. 769.538610000000 meters^2
B. 769.5 meters^2
C. 769.5386 meters^2
D. 769.54 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 +/- 0.04 seconds measures a duration of 0.92 seconds and a rangefinder with a precision of +/- 0.04 meters measures a distance as 0.02 meters. Your calculator app yields the output 46.000000000000 when dividing the two numbers. If we round this output properly with respect to the level of precision, what is the answer?
A. 46.0 seconds/meter
B. 46.00 seconds/meter
C. 50 seconds/meter
D. 46.000000000000 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 measures a volume of 0.008 liters and a cathetometer with a precision of +/- 0.0003 meters measures a distance as 0.0070 meters. Your computer produces the output 1.142857142857 when dividing the former number by the latter. If we express this output to the proper level of precision, what is the answer?
A. 1.142857142857 liters/meter
B. 1 liters/meter
C. 1.1 liters/meter
D. 1.143 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 balance with a precision of +/- 300 grams takes a measurement of 1400 grams, and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.610 liters. Your calculator app gets the solution 2295.081967213115 when dividing the former number by the latter. Using the correct level of precision, what is the result?
A. 2295.081967213115 grams/liter
B. 2300 grams/liter
C. 2295.08 grams/liter
D. 2200 grams/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 chronometer with a precision of +/- 0.0003 seconds takes a measurement of 0.0034 seconds, and a chronometer with a precision of +/- 0.00003 seconds measures a duration of a different event as 0.00068 seconds. You divide the values with a computer and get the output 5.000000000000. If we round this output to the appropriate level of precision, what is the result?
A. 5.0000
B. 5.0
C. 5.000000000000
D. 5.00
Answer:


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

A stopwatch with a precision of +/- 0.3 seconds measures a duration of 9.0 seconds and a cathetometer with a precision of +/- 0.00002 meters measures a distance as 0.00424 meters. Using a computer, you divide the two numbers and get the output 2122.641509433962. Using the suitable number of significant figures, what is the result?
A. 2122.6 seconds/meter
B. 2122.64 seconds/meter
C. 2100 seconds/meter
D. 2122.641509433962 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).
---

An odometer with a precision of +/- 2000 meters takes a measurement of 3618000 meters, and a ruler with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0001 meters. Using a computer, you divide the former number by the latter and get the output 36180000000.000000000000. When this output is expressed to the suitable level of precision, what do we get?
A. 36180000000.000000000000
B. 36180000000
C. 40000000000
D. 36180000000.0
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 odometer with a precision of +/- 2000 meters takes a measurement of 212000 meters, and a measuring flask with a precision of +/- 0.001 liters reads 0.043 liters when measuring a volume. Using a computer, you multiply the two numbers and get the output 9116.000000000000. If we report this output correctly with respect to the level of precision, what is the answer?
A. 9000 liter-meters
B. 9116.000000000000 liter-meters
C. 9116.00 liter-meters
D. 9100 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 timer with a precision of +/- 0.3 seconds measures a duration of 511.3 seconds and a measuring tape with a precision of +/- 0.03 meters measures a distance as 79.67 meters. Your calculator produces the solution 40735.271000000000 when multiplying the first number by the second number. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 40735.2710 meter-seconds
B. 40735.3 meter-seconds
C. 40740 meter-seconds
D. 40735.271000000000 meter-seconds
Answer:


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

A stadimeter with a precision of +/- 100 meters measures a distance of 324500 meters and a ruler with a precision of +/- 0.001 meters measures a distance between two different points as 0.006 meters. Using a computer, you divide the first value by the second value and get the output 54083333.333333333333. If we report this output appropriately with respect to the number of significant figures, what is the answer?
A. 54083333.3
B. 50000000
C. 54083333.333333333333
D. 54083300
Answer:


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

A measuring tape with a precision of +/- 0.3 meters measures a distance of 79.4 meters and a chronometer with a precision of +/- 0.00004 seconds reads 0.06200 seconds when measuring a duration. Using a calculator app, you divide the numbers and get the solution 1280.645161290323. Using the correct level of precision, what is the result?
A. 1280 meters/second
B. 1280.645161290323 meters/second
C. 1280.645 meters/second
D. 1280.6 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 +/- 0.3 seconds takes a measurement of 1.9 seconds, and a caliper with a precision of +/- 0.03 meters reads 21.88 meters when measuring a distance. Your calculator produces the output 0.086837294333 when dividing the former value by the latter. How would this result look if we wrote it with the suitable level of precision?
A. 0.1 seconds/meter
B. 0.086837294333 seconds/meter
C. 0.09 seconds/meter
D. 0.087 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 timer with a precision of +/- 0.02 seconds measures a duration of 82.02 seconds and an odometer with a precision of +/- 300 meters reads 98400 meters when measuring a distance. After multiplying the former value by the latter your calculator app yields the solution 8070768.000000000000. Using the suitable number of significant figures, what is the answer?
A. 8070768.000 meter-seconds
B. 8070000 meter-seconds
C. 8070700 meter-seconds
D. 8070768.000000000000 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 coincidence telemeter with a precision of +/- 4 meters measures a distance of 207 meters and a hydraulic scale with a precision of +/- 0.02 grams measures a mass as 0.50 grams. Your computer yields the output 414.000000000000 when dividing the former value by the latter. Using the suitable number of significant figures, what is the answer?
A. 414.000000000000 meters/gram
B. 414.00 meters/gram
C. 414 meters/gram
D. 410 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 measuring flask with a precision of +/- 0.02 liters measures a volume of 0.10 liters and a radar-based method with a precision of +/- 2 meters reads 976 meters when measuring a distance. Using a calculator, you multiply the former number by the latter and get the solution 97.600000000000. If we express this solution to the appropriate number of significant figures, what is the result?
A. 97.60 liter-meters
B. 97 liter-meters
C. 98 liter-meters
D. 97.600000000000 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 storage container with a precision of +/- 4 liters measures a volume of 443 liters and a caliper with a precision of +/- 0.04 meters measures a distance as 6.11 meters. Using a computer, you divide the two numbers and get the output 72.504091653028. Using the suitable level of precision, what is the result?
A. 72.5 liters/meter
B. 72 liters/meter
C. 72.504091653028 liters/meter
D. 72.504 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 measuring tape with a precision of +/- 0.2 meters takes a measurement of 0.8 meters, and a storage container with a precision of +/- 4 liters reads 3199 liters when measuring a volume. Your computer produces the output 2559.200000000000 when multiplying the numbers. How would this answer look if we expressed it with the correct number of significant figures?
A. 2559.200000000000 liter-meters
B. 2559.2 liter-meters
C. 2559 liter-meters
D. 3000 liter-meters
Answer:


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

An analytical balance with a precision of +/- 0.0002 grams takes a measurement of 0.1349 grams, and a measuring tape with a precision of +/- 0.01 meters measures a distance as 2.16 meters. Your calculator app gets the output 0.062453703704 when dividing the first value by the second value. Using the proper level of precision, what is the answer?
A. 0.062453703704 grams/meter
B. 0.06 grams/meter
C. 0.062 grams/meter
D. 0.0625 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 timer with a precision of +/- 0.001 seconds takes a measurement of 0.903 seconds, and a coincidence telemeter with a precision of +/- 20 meters reads 4880 meters when measuring a distance. After multiplying the former value by the latter your calculator gives the output 4406.640000000000. If we write this output to the right number of significant figures, what is the answer?
A. 4400 meter-seconds
B. 4406.640000000000 meter-seconds
C. 4410 meter-seconds
D. 4406.640 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 ruler with a precision of +/- 0.3 meters takes a measurement of 67.1 meters, and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.00051 meters. After dividing the first number by the second number your calculator gives the solution 131568.627450980392. Express this solution using the appropriate number of significant figures.
A. 131568.63
B. 131568.6
C. 130000
D. 131568.627450980392
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 +/- 0.004 meters measures a distance of 4.582 meters and a ruler with a precision of +/- 0.1 meters measures a distance between two different points as 76.7 meters. Using a calculator app, you divide the former number by the latter and get the solution 0.059739243807. If we round this solution correctly with respect to the number of significant figures, what is the result?
A. 0.0597
B. 0.059739243807
C. 0.060
D. 0.1
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 +/- 0.1 seconds measures a duration of 5.0 seconds and a measuring rod with a precision of +/- 0.0001 meters measures a distance as 0.0021 meters. Using a calculator, you divide the two numbers and get the solution 2380.952380952381. If we report this solution suitably with respect to the level of precision, what is the answer?
A. 2380.95 seconds/meter
B. 2381.0 seconds/meter
C. 2400 seconds/meter
D. 2380.952380952381 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 storage container with a precision of +/- 0.1 liters measures a volume of 151.5 liters and an odometer with a precision of +/- 1000 meters reads 9000 meters when measuring a distance. After multiplying the first value by the second value your calculator app gets the solution 1363500.000000000000. When this solution is written to the proper level of precision, what do we get?
A. 1363500.000000000000 liter-meters
B. 1000000 liter-meters
C. 1363000 liter-meters
D. 1363500.0 liter-meters
Answer:


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

A rangefinder with a precision of +/- 1 meters takes a measurement of 83 meters, and a balance with a precision of +/- 40 grams measures a mass as 50 grams. After multiplying the two numbers your calculator app yields the solution 4150.000000000000. If we round this solution suitably with respect to the number of significant figures, what is the answer?
A. 4150 gram-meters
B. 4150.0 gram-meters
C. 4000 gram-meters
D. 4150.000000000000 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 biltmore stick with a precision of +/- 0.03 meters measures a distance of 83.34 meters and a chronograph with a precision of +/- 0.1 seconds measures a duration as 29.2 seconds. You divide the former value by the latter with a computer and get the output 2.854109589041. If we round this output correctly with respect to the number of significant figures, what is the result?
A. 2.854 meters/second
B. 2.854109589041 meters/second
C. 2.85 meters/second
D. 2.9 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 rangefinder with a precision of +/- 0.0002 meters takes a measurement of 0.0980 meters, and an analytical balance with a precision of +/- 0.0002 grams reads 0.0003 grams when measuring a mass. Your calculator app produces the solution 326.666666666667 when dividing the values. If we report this solution suitably with respect to the level of precision, what is the result?
A. 326.7 meters/gram
B. 326.666666666667 meters/gram
C. 326.6667 meters/gram
D. 300 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 stopwatch with a precision of +/- 0.3 seconds measures a duration of 594.4 seconds and a coincidence telemeter with a precision of +/- 0.1 meters reads 1.0 meters when measuring a distance. After dividing the first number by the second number your calculator app yields the output 594.400000000000. Write this output using the proper level of precision.
A. 594.4 seconds/meter
B. 594.400000000000 seconds/meter
C. 594.40 seconds/meter
D. 590 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 storage container with a precision of +/- 20 liters takes a measurement of 80780 liters, and a measuring tape with a precision of +/- 0.4 meters reads 5.6 meters when measuring a distance. After dividing the two values your calculator gets the output 14425.000000000000. Using the suitable number of significant figures, what is the answer?
A. 14425.00 liters/meter
B. 14420 liters/meter
C. 14000 liters/meter
D. 14425.000000000000 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 stadimeter with a precision of +/- 0.1 meters takes a measurement of 528.8 meters, and a clickwheel with a precision of +/- 0.01 meters measures a distance between two different points as 0.42 meters. Your calculator gets the output 1259.047619047619 when dividing the former number by the latter. When this output is reported to the proper number of significant figures, what do we get?
A. 1259.047619047619
B. 1300
C. 1259.0
D. 1259.05
Answer:


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

A cathetometer with a precision of +/- 0.00001 meters takes a measurement of 0.00006 meters, and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.00077 meters. After dividing the values your calculator app gets the solution 0.077922077922. If we express this solution to the correct number of significant figures, what is the answer?
A. 0.077922077922
B. 0.08
C. 0.1
D. 0.07792
Answer:


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

A balance with a precision of +/- 0.4 grams measures a mass of 0.2 grams and a coincidence telemeter with a precision of +/- 1 meters reads 76 meters when measuring a distance. You multiply the values with a calculator app and get the solution 15.200000000000. Using the correct number of significant figures, what is the answer?
A. 20 gram-meters
B. 15.2 gram-meters
C. 15.200000000000 gram-meters
D. 15 gram-meters
Answer:


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

An analytical balance with a precision of +/- 4 grams takes a measurement of 4208 grams, and an analytical balance with a precision of +/- 0.3 grams reads 14.2 grams when measuring a mass of a different object. Using a calculator app, you multiply the first number by the second number and get the solution 59753.600000000000. Using the proper level of precision, what is the answer?
A. 59753.600 grams^2
B. 59800 grams^2
C. 59753.600000000000 grams^2
D. 59753 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 measuring tape with a precision of +/- 0.04 meters takes a measurement of 0.11 meters, and a measuring flask with a precision of +/- 0.03 liters measures a volume as 0.02 liters. You divide the values with a computer and get the output 5.500000000000. Round this output using the proper number of significant figures.
A. 5.5 meters/liter
B. 6 meters/liter
C. 5.500000000000 meters/liter
D. 5.50 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 +/- 400 meters measures a distance of 700 meters and a timer with a precision of +/- 0.03 seconds reads 6.88 seconds when measuring a duration. After multiplying the former value by the latter your calculator produces the output 4816.000000000000. How can we report this output to the right number of significant figures?
A. 4816.000000000000 meter-seconds
B. 4816.0 meter-seconds
C. 5000 meter-seconds
D. 4800 meter-seconds
Answer:


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

A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.1250 meters, and a spring scale with a precision of +/- 4000 grams measures a mass as 8461000 grams. Using a computer, you multiply the two numbers and get the output 1057625.000000000000. How can we write this output to the appropriate number of significant figures?
A. 1058000 gram-meters
B. 1057625.0000 gram-meters
C. 1057625.000000000000 gram-meters
D. 1057000 gram-meters
Answer:


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

An analytical balance with a precision of +/- 4 grams measures a mass of 85 grams and a clickwheel with a precision of +/- 0.1 meters measures a distance as 2.8 meters. You multiply the first number by the second number with a calculator and get the output 238.000000000000. How would this result look if we expressed it with the right number of significant figures?
A. 238.00 gram-meters
B. 238.000000000000 gram-meters
C. 238 gram-meters
D. 240 gram-meters
Answer:


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

A storage container with a precision of +/- 10 liters measures a volume of 460 liters and a cathetometer with a precision of +/- 0.00003 meters reads 0.00441 meters when measuring a distance. After dividing the first number by the second number your computer produces the output 104308.390022675737. How can we express this output to the suitable number of significant figures?
A. 104308.39 liters/meter
B. 104308.390022675737 liters/meter
C. 104300 liters/meter
D. 100000 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 chronometer with a precision of +/- 0.0003 seconds takes a measurement of 0.0010 seconds, and a cathetometer with a precision of +/- 0.00002 meters reads 0.00003 meters when measuring a distance. Your calculator yields the solution 33.333333333333 when dividing the two values. How would this answer look if we reported it with the right number of significant figures?
A. 30 seconds/meter
B. 33.3 seconds/meter
C. 33.333333333333 seconds/meter
D. 33.3333 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 cathetometer with a precision of +/- 0.00002 meters takes a measurement of 0.00036 meters, and a tape measure with a precision of +/- 0.003 meters reads 0.007 meters when measuring a distance between two different points. After dividing the two values your calculator yields the output 0.051428571429. When this output is rounded to the proper level of precision, what do we get?
A. 0.05
B. 0.051
C. 0.051428571429
D. 0.1
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 +/- 0.003 seconds measures a duration of 0.008 seconds and a balance with a precision of +/- 0.0003 grams reads 0.0054 grams when measuring a mass. Your computer yields the output 1.481481481481 when dividing the values. If we round this output to the appropriate number of significant figures, what is the result?
A. 1 seconds/gram
B. 1.5 seconds/gram
C. 1.481 seconds/gram
D. 1.481481481481 seconds/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 measuring tape with a precision of +/- 0.02 meters takes a measurement of 51.33 meters, and a cathetometer with a precision of +/- 0.0004 meters measures a distance between two different points as 0.1048 meters. You divide the two numbers with a calculator app and get the output 489.790076335878. Using the appropriate number of significant figures, what is the result?
A. 489.790076335878
B. 489.7901
C. 489.79
D. 489.8
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 6270 grams and a ruler with a precision of +/- 0.0003 meters reads 0.0009 meters when measuring a distance. You multiply the two numbers with a calculator app and get the output 5.643000000000. Express this output using the suitable number of significant figures.
A. 6 gram-meters
B. 5 gram-meters
C. 5.6 gram-meters
D. 5.643000000000 gram-meters
Answer:


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

A tape measure with a precision of +/- 0.003 meters takes a measurement of 2.809 meters, and a chronometer with a precision of +/- 0.00001 seconds reads 0.02868 seconds when measuring a duration. After dividing the former value by the latter your calculator gives the output 97.942817294282. When this output is expressed to the correct number of significant figures, what do we get?
A. 97.943 meters/second
B. 97.9428 meters/second
C. 97.94 meters/second
D. 97.942817294282 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 biltmore stick with a precision of +/- 0.2 meters measures a distance of 350.9 meters and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 0.038 liters. After dividing the numbers your computer yields the solution 9234.210526315789. How can we report this solution to the appropriate number of significant figures?
A. 9234.2 meters/liter
B. 9234.21 meters/liter
C. 9200 meters/liter
D. 9234.210526315789 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 measuring tape with a precision of +/- 0.4 meters takes a measurement of 0.9 meters, and a stadimeter with a precision of +/- 4 meters measures a distance between two different points as 72 meters. Using a computer, you multiply the two values and get the output 64.800000000000. If we write this output to the suitable level of precision, what is the result?
A. 60 meters^2
B. 64.800000000000 meters^2
C. 64 meters^2
D. 64.8 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.2 meters measures a distance of 31.5 meters and a measuring stick with a precision of +/- 0.03 meters measures a distance between two different points as 0.19 meters. Using a computer, you divide the numbers and get the solution 165.789473684211. When this solution is rounded to the suitable level of precision, what do we get?
A. 165.789473684211
B. 165.8
C. 170
D. 165.79
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 +/- 4 grams measures a mass of 11 grams and a balance with a precision of +/- 10 grams measures a mass of a different object as 580 grams. Your computer produces the output 6380.000000000000 when multiplying the two values. If we round this output suitably with respect to the number of significant figures, what is the answer?
A. 6380.00 grams^2
B. 6400 grams^2
C. 6380.000000000000 grams^2
D. 6380 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 biltmore stick with a precision of +/- 0.03 meters takes a measurement of 22.70 meters, and a radar-based method with a precision of +/- 400 meters reads 40100 meters when measuring a distance between two different points. You multiply the former value by the latter with a computer and get the output 910270.000000000000. Round this output using the proper number of significant figures.
A. 910270.000000000000 meters^2
B. 910000 meters^2
C. 910200 meters^2
D. 910270.000 meters^2
Answer: