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

An opisometer with a precision of +/- 3 meters takes a measurement of 8485 meters, and an analytical balance with a precision of +/- 0.003 grams reads 0.007 grams when measuring a mass. Using a calculator app, you divide the first number by the second number and get the solution 1212142.857142857143. When this solution is expressed to the right level of precision, what do we get?
A. 1212142.9 meters/gram
B. 1212142 meters/gram
C. 1212142.857142857143 meters/gram
D. 1000000 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 +/- 0.002 liters takes a measurement of 0.010 liters, and a cathetometer with a precision of +/- 0.00001 meters measures a distance as 0.00013 meters. You divide the numbers with a computer and get the solution 76.923076923077. How can we round this solution to the appropriate number of significant figures?
A. 76.92 liters/meter
B. 77 liters/meter
C. 76.923 liters/meter
D. 76.923076923077 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 +/- 0.1 meters takes a measurement of 247.8 meters, and a measuring flask with a precision of +/- 0.01 liters reads 6.92 liters when measuring a volume. Your calculator gets the solution 1714.776000000000 when multiplying the numbers. If we write this solution properly with respect to the number of significant figures, what is the answer?
A. 1714.776000000000 liter-meters
B. 1710 liter-meters
C. 1714.776 liter-meters
D. 1714.8 liter-meters
Answer:


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

An odometer with a precision of +/- 100 meters measures a distance of 700 meters and a meter stick with a precision of +/- 0.0002 meters reads 0.0065 meters when measuring a distance between two different points. Your calculator app gets the output 107692.307692307692 when dividing the former value by the latter. If we round this output appropriately with respect to the level of precision, what is the result?
A. 107692.307692307692
B. 100000
C. 107692.3
D. 107600
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 404 liters and a measuring tape with a precision of +/- 0.02 meters measures a distance as 0.28 meters. Your computer gives the output 113.120000000000 when multiplying the former number by the latter. How would this answer look if we reported it with the appropriate level of precision?
A. 113.12 liter-meters
B. 110 liter-meters
C. 113.120000000000 liter-meters
D. 113 liter-meters
Answer:


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

A stadimeter with a precision of +/- 3 meters takes a measurement of 686 meters, and a hydraulic scale with a precision of +/- 0.003 grams reads 0.005 grams when measuring a mass. You divide the two values with a computer and get the output 137200.000000000000. If we round this output properly with respect to the number of significant figures, what is the result?
A. 137200.000000000000 meters/gram
B. 100000 meters/gram
C. 137200 meters/gram
D. 137200.0 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 coincidence telemeter with a precision of +/- 10 meters measures a distance of 27510 meters and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.037 liters. Using a computer, you divide the first value by the second value and get the solution 743513.513513513514. If we write this solution to the appropriate number of significant figures, what is the result?
A. 743510 meters/liter
B. 740000 meters/liter
C. 743513.51 meters/liter
D. 743513.513513513514 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 biltmore stick with a precision of +/- 0.04 meters measures a distance of 0.05 meters and a radar-based method with a precision of +/- 200 meters reads 99700 meters when measuring a distance between two different points. After multiplying the values your calculator app gives the solution 4985.000000000000. Using the correct number of significant figures, what is the result?
A. 5000 meters^2
B. 4985.000000000000 meters^2
C. 4900 meters^2
D. 4985.0 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 0.03 grams takes a measurement of 0.06 grams, and a stadimeter with a precision of +/- 40 meters measures a distance as 21580 meters. Using a computer, you multiply the first number by the second number and get the output 1294.800000000000. If we report this output appropriately with respect to the number of significant figures, what is the result?
A. 1290 gram-meters
B. 1000 gram-meters
C. 1294.800000000000 gram-meters
D. 1294.8 gram-meters
Answer:


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

A coincidence telemeter with a precision of +/- 0.2 meters measures a distance of 678.4 meters and a stadimeter with a precision of +/- 1 meters measures a distance between two different points as 1 meters. Your calculator app yields the output 678.400000000000 when dividing the two numbers. Write this output using the appropriate level of precision.
A. 678.400000000000
B. 700
C. 678.4
D. 678
Answer:


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

A stadimeter with a precision of +/- 400 meters takes a measurement of 638000 meters, and a ruler with a precision of +/- 0.1 meters reads 495.0 meters when measuring a distance between two different points. After multiplying the first value by the second value your computer yields the output 315810000.000000000000. Write this output using the suitable level of precision.
A. 315810000.0000 meters^2
B. 315810000 meters^2
C. 315810000.000000000000 meters^2
D. 315800000 meters^2
Answer:


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

A tape measure with a precision of +/- 0.0004 meters takes a measurement of 0.0725 meters, and a measuring tape with a precision of +/- 0.03 meters reads 4.75 meters when measuring a distance between two different points. You divide the first number by the second number with a calculator app and get the output 0.015263157895. Write this output using the suitable level of precision.
A. 0.0153
B. 0.015
C. 0.015263157895
D. 0.02
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 0.2 meters and an odometer with a precision of +/- 100 meters reads 3900 meters when measuring a distance between two different points. Using a computer, you multiply the two values and get the solution 780.000000000000. How would this result look if we reported it with the suitable level of precision?
A. 780.0 meters^2
B. 800 meters^2
C. 780.000000000000 meters^2
D. 700 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 1.9 meters and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.05661 meters. Your calculator gives the solution 33.562974739445 when dividing the first number by the second number. How can we round this solution to the suitable number of significant figures?
A. 33.562974739445
B. 34
C. 33.6
D. 33.56
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.1 meters measures a distance of 73.8 meters and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.77 meters. After dividing the values your computer gets the solution 95.844155844156. When this solution is written to the suitable number of significant figures, what do we get?
A. 96
B. 95.8
C. 95.84
D. 95.844155844156
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 860.4 meters and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 12.98 meters. Using a computer, you divide the former value by the latter and get the output 66.286594761171. If we express this output to the suitable number of significant figures, what is the result?
A. 66.286594761171
B. 66.29
C. 66.3
D. 66.2866
Answer:


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

A stopwatch with a precision of +/- 0.002 seconds takes a measurement of 0.080 seconds, and a storage container with a precision of +/- 4 liters measures a volume as 610 liters. You multiply the two numbers with a calculator app and get the solution 48.800000000000. If we write this solution properly with respect to the level of precision, what is the answer?
A. 49 liter-seconds
B. 48.800000000000 liter-seconds
C. 48 liter-seconds
D. 48.80 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 stick with a precision of +/- 0.02 meters takes a measurement of 9.96 meters, and a caliper with a precision of +/- 0.002 meters reads 0.009 meters when measuring a distance between two different points. Using a calculator app, you divide the first value by the second value and get the output 1106.666666666667. If we round this output properly with respect to the level of precision, what is the answer?
A. 1106.666666666667
B. 1106.7
C. 1000
D. 1106.67
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters measures a distance of 0.537 meters and a tape measure with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0016 meters. Your calculator yields the solution 335.625000000000 when dividing the former number by the latter. Using the correct number of significant figures, what is the result?
A. 340
B. 335.625
C. 335.62
D. 335.625000000000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 takes a measurement of 994.3 seconds, and a measuring tape with a precision of +/- 0.04 meters measures a distance as 0.94 meters. After multiplying the two values your calculator gives the output 934.642000000000. If we write this output to the appropriate level of precision, what is the result?
A. 934.6 meter-seconds
B. 930 meter-seconds
C. 934.64 meter-seconds
D. 934.642000000000 meter-seconds
Answer:


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

A cathetometer with a precision of +/- 0.0004 meters measures a distance of 0.0020 meters and an odometer with a precision of +/- 300 meters reads 68100 meters when measuring a distance between two different points. You multiply the two values with a calculator and get the solution 136.200000000000. How would this answer look if we rounded it with the right number of significant figures?
A. 136.20 meters^2
B. 140 meters^2
C. 136.200000000000 meters^2
D. 100 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 clickwheel with a precision of +/- 0.03 meters takes a measurement of 7.20 meters, and an odometer with a precision of +/- 2000 meters reads 9000 meters when measuring a distance between two different points. After multiplying the two values your computer gives the output 64800.000000000000. When this output is written to the right number of significant figures, what do we get?
A. 64800.000000000000 meters^2
B. 60000 meters^2
C. 64000 meters^2
D. 64800.0 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 5.6 meters and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 4.6 meters. Using a calculator app, you multiply the values and get the solution 25.760000000000. How would this answer look if we reported it with the correct number of significant figures?
A. 25.760000000000 meters^2
B. 25.8 meters^2
C. 26 meters^2
D. 25.76 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 chronometer with a precision of +/- 0.00002 seconds takes a measurement of 0.00523 seconds, and a chronometer with a precision of +/- 0.00001 seconds reads 0.00008 seconds when measuring a duration of a different event. You divide the first number by the second number with a calculator app and get the output 65.375000000000. How would this result look if we expressed it with the appropriate level of precision?
A. 65.4
B. 70
C. 65.375000000000
D. 65.37500
Answer:


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

A radar-based method with a precision of +/- 10 meters takes a measurement of 870 meters, and a spring scale with a precision of +/- 3 grams measures a mass as 56 grams. Using a computer, you multiply the two values and get the solution 48720.000000000000. How can we express this solution to the appropriate number of significant figures?
A. 48720.000000000000 gram-meters
B. 49000 gram-meters
C. 48720.00 gram-meters
D. 48720 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 +/- 0.04 grams measures a mass of 7.37 grams and a tape measure with a precision of +/- 0.0001 meters measures a distance as 0.0860 meters. Using a computer, you divide the first value by the second value and get the solution 85.697674418605. If we express this solution to the correct level of precision, what is the answer?
A. 85.70 grams/meter
B. 85.697674418605 grams/meter
C. 85.698 grams/meter
D. 85.7 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 chronometer with a precision of +/- 0.0002 seconds measures a duration of 0.2528 seconds and a measuring rod with a precision of +/- 0.001 meters reads 0.026 meters when measuring a distance. Your calculator app produces the output 0.006572800000 when multiplying the first value by the second value. If we round this output to the suitable number of significant figures, what is the result?
A. 0.01 meter-seconds
B. 0.006572800000 meter-seconds
C. 0.0066 meter-seconds
D. 0.007 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 +/- 20 grams measures a mass of 2460 grams and a timer with a precision of +/- 0.001 seconds reads 0.007 seconds when measuring a duration. After dividing the numbers your computer produces the output 351428.571428571429. How would this result look if we wrote it with the suitable number of significant figures?
A. 351428.6 grams/second
B. 351420 grams/second
C. 400000 grams/second
D. 351428.571428571429 grams/second
Answer:


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

A timer with a precision of +/- 0.003 seconds measures a duration of 0.655 seconds and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.066 liters. Your computer gets the output 9.924242424242 when dividing the first value by the second value. When this output is rounded to the appropriate level of precision, what do we get?
A. 9.9 seconds/liter
B. 9.924242424242 seconds/liter
C. 9.92 seconds/liter
D. 9.924 seconds/liter
Answer:


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

A timer with a precision of +/- 0.3 seconds measures a duration of 12.8 seconds and a balance with a precision of +/- 0.004 grams reads 7.801 grams when measuring a mass. You divide the former number by the latter with a calculator app and get the solution 1.640815280092. How can we round this solution to the appropriate level of precision?
A. 1.6 seconds/gram
B. 1.64 seconds/gram
C. 1.640815280092 seconds/gram
D. 1.641 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 meter stick with a precision of +/- 0.0001 meters measures a distance of 0.8306 meters and a measuring flask with a precision of +/- 0.004 liters reads 0.030 liters when measuring a volume. Using a calculator app, you divide the values and get the output 27.686666666667. How can we express this output to the appropriate level of precision?
A. 28 meters/liter
B. 27.687 meters/liter
C. 27.686666666667 meters/liter
D. 27.69 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 coincidence telemeter with a precision of +/- 2 meters measures a distance of 19 meters and a meter stick with a precision of +/- 0.0002 meters reads 0.0811 meters when measuring a distance between two different points. You multiply the two values with a computer and get the solution 1.540900000000. Express this solution using the correct number of significant figures.
A. 1.540900000000 meters^2
B. 1.5 meters^2
C. 1.54 meters^2
D. 1 meters^2
Answer:


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

A coincidence telemeter with a precision of +/- 1 meters measures a distance of 10 meters and a graduated cylinder with a precision of +/- 0.004 liters reads 0.003 liters when measuring a volume. Using a calculator, you divide the former value by the latter and get the output 3333.333333333333. How can we express this output to the right number of significant figures?
A. 3333.333333333333 meters/liter
B. 3333 meters/liter
C. 3333.3 meters/liter
D. 3000 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 stick with a precision of +/- 0.003 meters takes a measurement of 0.943 meters, and a caliper with a precision of +/- 0.02 meters reads 43.65 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the solution 0.021603665521. When this solution is rounded to the proper number of significant figures, what do we get?
A. 0.022
B. 0.0216
C. 0.021603665521
D. 0.02
Answer:


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

A measuring flask with a precision of +/- 0.03 liters measures a volume of 58.66 liters and a clickwheel with a precision of +/- 0.2 meters measures a distance as 7.7 meters. You multiply the former number by the latter with a computer and get the solution 451.682000000000. How can we express this solution to the appropriate number of significant figures?
A. 451.68 liter-meters
B. 451.682000000000 liter-meters
C. 451.7 liter-meters
D. 450 liter-meters
Answer:


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

A measuring stick with a precision of +/- 0.2 meters takes a measurement of 43.5 meters, and an analytical balance with a precision of +/- 0.001 grams reads 3.321 grams when measuring a mass. You multiply the first number by the second number with a calculator and get the output 144.463500000000. When this output is written to the appropriate number of significant figures, what do we get?
A. 144.464 gram-meters
B. 144 gram-meters
C. 144.5 gram-meters
D. 144.463500000000 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 +/- 0.2 seconds measures a duration of 7.2 seconds and a timer with a precision of +/- 0.002 seconds reads 0.010 seconds when measuring a duration of a different event. Your calculator app gives the output 720.000000000000 when dividing the former number by the latter. How would this result look if we expressed it with the proper level of precision?
A. 720.000000000000
B. 720.0
C. 720
D. 720.00
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 stadimeter with a precision of +/- 4 meters measures a distance of 3855 meters and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 611.4 meters. After multiplying the former value by the latter your computer produces the output 2356947.000000000000. How can we round this output to the suitable number of significant figures?
A. 2357000 meters^2
B. 2356947.000000000000 meters^2
C. 2356947.0000 meters^2
D. 2356947 meters^2
Answer:


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

A chronograph with a precision of +/- 0.1 seconds measures a duration of 295.1 seconds and a rangefinder with a precision of +/- 40 meters reads 50 meters when measuring a distance. Your computer gets the output 14755.000000000000 when multiplying the former value by the latter. How can we round this output to the right level of precision?
A. 14755.000000000000 meter-seconds
B. 14750 meter-seconds
C. 14755.0 meter-seconds
D. 10000 meter-seconds
Answer:


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

A measuring flask with a precision of +/- 0.004 liters measures a volume of 8.040 liters and a graduated cylinder with a precision of +/- 0.003 liters reads 0.081 liters when measuring a volume of a different quantity of liquid. You divide the numbers with a calculator and get the output 99.259259259259. When this output is reported to the suitable number of significant figures, what do we get?
A. 99
B. 99.259
C. 99.259259259259
D. 99.26
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 2 meters measures a distance of 527 meters and a caliper with a precision of +/- 0.001 meters measures a distance between two different points as 0.005 meters. After multiplying the first value by the second value your calculator yields the output 2.635000000000. When this output is reported to the correct level of precision, what do we get?
A. 2.6 meters^2
B. 2.635000000000 meters^2
C. 2 meters^2
D. 3 meters^2
Answer:


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

A rangefinder with a precision of +/- 10 meters takes a measurement of 20 meters, and a rangefinder with a precision of +/- 4 meters measures a distance between two different points as 9 meters. Using a calculator, you multiply the values and get the output 180.000000000000. When this output is written to the appropriate number of significant figures, what do we get?
A. 180 meters^2
B. 200 meters^2
C. 180.000000000000 meters^2
D. 180.0 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 20 grams takes a measurement of 40 grams, and a tape measure with a precision of +/- 0.002 meters measures a distance as 0.733 meters. After multiplying the two values your computer yields the solution 29.320000000000. How can we round this solution to the suitable number of significant figures?
A. 29.320000000000 gram-meters
B. 29.3 gram-meters
C. 30 gram-meters
D. 20 gram-meters
Answer:


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

A coincidence telemeter with a precision of +/- 300 meters takes a measurement of 7200 meters, and a ruler with a precision of +/- 0.003 meters measures a distance between two different points as 0.031 meters. After dividing the first number by the second number your calculator app gives the output 232258.064516129032. When this output is expressed to the correct number of significant figures, what do we get?
A. 230000
B. 232258.06
C. 232200
D. 232258.064516129032
Answer:


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

A stopwatch with a precision of +/- 0.1 seconds measures a duration of 7.5 seconds and a stadimeter with a precision of +/- 30 meters reads 85160 meters when measuring a distance. Your computer gets the solution 638700.000000000000 when multiplying the former number by the latter. How would this result look if we rounded it with the correct number of significant figures?
A. 638700.000000000000 meter-seconds
B. 638700.00 meter-seconds
C. 640000 meter-seconds
D. 638700 meter-seconds
Answer:


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

An odometer with a precision of +/- 200 meters measures a distance of 448700 meters and a rangefinder with a precision of +/- 0.004 meters measures a distance between two different points as 0.782 meters. After dividing the first value by the second value your calculator app gets the output 573785.166240409207. If we write this output to the suitable number of significant figures, what is the answer?
A. 573785.166
B. 573700
C. 573785.166240409207
D. 574000
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 5.673 liters, and a cathetometer with a precision of +/- 0.00001 meters reads 0.00053 meters when measuring a distance. You divide the two numbers with a computer and get the output 10703.773584905660. Using the correct level of precision, what is the result?
A. 10703.77 liters/meter
B. 10703.773584905660 liters/meter
C. 11000 liters/meter
D. 10703.774 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 radar-based method with a precision of +/- 10 meters takes a measurement of 100 meters, and a caliper with a precision of +/- 0.002 meters reads 0.009 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the output 11111.111111111111. Using the right number of significant figures, what is the result?
A. 11111.111111111111
B. 11111.1
C. 11110
D. 10000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 3 meters measures a distance of 96 meters and a measuring tape with a precision of +/- 0.02 meters measures a distance between two different points as 29.60 meters. After multiplying the values your calculator gets the output 2841.600000000000. Round this output using the right number of significant figures.
A. 2841.600000000000 meters^2
B. 2841 meters^2
C. 2841.60 meters^2
D. 2800 meters^2
Answer:


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

A tape measure with a precision of +/- 0.001 meters takes a measurement of 0.525 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.006 liters. Your computer yields the output 87.500000000000 when dividing the two numbers. How would this answer look if we reported it with the proper number of significant figures?
A. 87.500 meters/liter
B. 87.5 meters/liter
C. 87.500000000000 meters/liter
D. 90 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 opisometer with a precision of +/- 1 meters measures a distance of 9932 meters and a caliper with a precision of +/- 0.01 meters measures a distance between two different points as 0.10 meters. Your calculator produces the output 99320.000000000000 when dividing the two values. Using the appropriate level of precision, what is the answer?
A. 99320.000000000000
B. 99320
C. 99320.00
D. 99000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 20 grams measures a mass of 9930 grams and a measuring rod with a precision of +/- 0.0003 meters reads 0.0934 meters when measuring a distance. Using a calculator, you multiply the two values and get the output 927.462000000000. Express this output using the correct number of significant figures.
A. 927.462000000000 gram-meters
B. 927 gram-meters
C. 920 gram-meters
D. 927.462 gram-meters
Answer:


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

A stadimeter with a precision of +/- 100 meters takes a measurement of 10000 meters, and a ruler with a precision of +/- 0.0003 meters reads 0.6655 meters when measuring a distance between two different points. After multiplying the first number by the second number your calculator produces the solution 6655.000000000000. How can we write this solution to the right level of precision?
A. 6655.000 meters^2
B. 6660 meters^2
C. 6655.000000000000 meters^2
D. 6600 meters^2
Answer:


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

An opisometer with a precision of +/- 0.04 meters measures a distance of 12.64 meters and an opisometer with a precision of +/- 0.2 meters reads 2.1 meters when measuring a distance between two different points. Using a calculator, you multiply the first value by the second value and get the output 26.544000000000. How can we express this output to the proper number of significant figures?
A. 26.54 meters^2
B. 26.544000000000 meters^2
C. 27 meters^2
D. 26.5 meters^2
Answer:


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

A coincidence telemeter with a precision of +/- 30 meters measures a distance of 990 meters and a ruler with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0602 meters. Your computer produces the solution 59.598000000000 when multiplying the former value by the latter. If we report this solution properly with respect to the number of significant figures, what is the result?
A. 50 meters^2
B. 59.60 meters^2
C. 60 meters^2
D. 59.598000000000 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 clickwheel with a precision of +/- 0.002 meters measures a distance of 0.004 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 0.046 liters when measuring a volume. Using a computer, you divide the former value by the latter and get the output 0.086956521739. If we round this output suitably with respect to the level of precision, what is the result?
A. 0.086956521739 meters/liter
B. 0.09 meters/liter
C. 0.1 meters/liter
D. 0.087 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 storage container with a precision of +/- 20 liters takes a measurement of 56330 liters, and a radar-based method with a precision of +/- 4 meters measures a distance as 9 meters. Your calculator gives the output 506970.000000000000 when multiplying the numbers. If we round this output suitably with respect to the level of precision, what is the answer?
A. 506970 liter-meters
B. 500000 liter-meters
C. 506970.0 liter-meters
D. 506970.000000000000 liter-meters
Answer:


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

A spring scale with a precision of +/- 0.4 grams measures a mass of 8.8 grams and a measuring tape with a precision of +/- 0.03 meters measures a distance as 5.11 meters. After multiplying the numbers your computer gives the solution 44.968000000000. Report this solution using the right number of significant figures.
A. 45.0 gram-meters
B. 44.97 gram-meters
C. 45 gram-meters
D. 44.968000000000 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 +/- 0.2 meters measures a distance of 93.1 meters and a timer with a precision of +/- 0.03 seconds measures a duration as 0.31 seconds. You divide the numbers with a calculator and get the output 300.322580645161. How can we write this output to the correct level of precision?
A. 300.32 meters/second
B. 300.322580645161 meters/second
C. 300.3 meters/second
D. 300 meters/second
Answer:


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

A measuring flask with a precision of +/- 0.001 liters measures a volume of 0.724 liters and a meter stick with a precision of +/- 0.0001 meters measures a distance as 0.0037 meters. Your calculator app produces the solution 195.675675675676 when dividing the two values. Using the correct number of significant figures, what is the answer?
A. 195.68 liters/meter
B. 200 liters/meter
C. 195.675675675676 liters/meter
D. 195.676 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 +/- 3 grams takes a measurement of 7327 grams, and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0052 seconds. Using a calculator, you divide the former value by the latter and get the output 1409038.461538461538. Using the proper number of significant figures, what is the result?
A. 1409038.461538461538 grams/second
B. 1400000 grams/second
C. 1409038 grams/second
D. 1409038.46 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 analytical balance with a precision of +/- 30 grams takes a measurement of 6900 grams, and a cathetometer with a precision of +/- 0.00003 meters measures a distance as 0.00004 meters. Your computer gets the solution 172500000.000000000000 when dividing the former value by the latter. Round this solution using the appropriate level of precision.
A. 200000000 grams/meter
B. 172500000.0 grams/meter
C. 172500000 grams/meter
D. 172500000.000000000000 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 cathetometer with a precision of +/- 0.00001 meters measures a distance of 0.06058 meters and a balance with a precision of +/- 2 grams reads 661 grams when measuring a mass. After multiplying the values your calculator gives the solution 40.043380000000. How can we round this solution to the proper number of significant figures?
A. 40.043380000000 gram-meters
B. 40.0 gram-meters
C. 40 gram-meters
D. 40.043 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 +/- 0.4 seconds takes a measurement of 7.9 seconds, and a balance with a precision of +/- 300 grams reads 9400 grams when measuring a mass. After multiplying the former value by the latter your calculator gets the solution 74260.000000000000. When this solution is expressed to the proper level of precision, what do we get?
A. 74200 gram-seconds
B. 74000 gram-seconds
C. 74260.00 gram-seconds
D. 74260.000000000000 gram-seconds
Answer:


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

A spring scale with a precision of +/- 1000 grams takes a measurement of 565000 grams, and a ruler with a precision of +/- 0.0003 meters measures a distance as 0.0084 meters. After dividing the first value by the second value your computer produces the solution 67261904.761904761905. If we report this solution to the right number of significant figures, what is the result?
A. 67261904.76 grams/meter
B. 67000000 grams/meter
C. 67261000 grams/meter
D. 67261904.761904761905 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 +/- 2 grams measures a mass of 978 grams and a hydraulic scale with a precision of +/- 1 grams measures a mass of a different object as 593 grams. Using a calculator, you divide the numbers and get the output 1.649241146712. When this output is reported to the proper number of significant figures, what do we get?
A. 1.649
B. 1.649241146712
C. 1
D. 1.65
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.001 liters takes a measurement of 0.185 liters, and a rangefinder with a precision of +/- 0.0002 meters measures a distance as 0.0074 meters. After dividing the values your calculator app gives the output 25.000000000000. If we express this output to the correct level of precision, what is the result?
A. 25.000 liters/meter
B. 25.00 liters/meter
C. 25 liters/meter
D. 25.000000000000 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 chronograph with a precision of +/- 0.03 seconds measures a duration of 0.46 seconds and a stadimeter with a precision of +/- 30 meters measures a distance as 80940 meters. Your calculator app gives the solution 37232.400000000000 when multiplying the first number by the second number. How can we report this solution to the right level of precision?
A. 37000 meter-seconds
B. 37232.400000000000 meter-seconds
C. 37230 meter-seconds
D. 37232.40 meter-seconds
Answer:


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

A storage container with a precision of +/- 4 liters measures a volume of 321 liters and a cathetometer with a precision of +/- 0.00004 meters measures a distance as 0.00911 meters. After multiplying the former value by the latter your calculator gives the solution 2.924310000000. How can we round this solution to the correct number of significant figures?
A. 2.924310000000 liter-meters
B. 2.924 liter-meters
C. 2 liter-meters
D. 2.92 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 takes a measurement of 484 liters, and a timer with a precision of +/- 0.1 seconds reads 1.0 seconds when measuring a duration. After dividing the first value by the second value your calculator app gets the output 484.000000000000. How would this result look if we wrote it with the appropriate number of significant figures?
A. 484.00 liters/second
B. 480 liters/second
C. 484 liters/second
D. 484.000000000000 liters/second
Answer:


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

A measuring stick with a precision of +/- 0.3 meters measures a distance of 7.7 meters and a hydraulic scale with a precision of +/- 10 grams reads 340 grams when measuring a mass. You multiply the first number by the second number with a calculator app and get the output 2618.000000000000. How would this answer look if we expressed it with the suitable level of precision?
A. 2600 gram-meters
B. 2618.000000000000 gram-meters
C. 2618.00 gram-meters
D. 2610 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 +/- 20 liters measures a volume of 620 liters and a rangefinder with a precision of +/- 0.4 meters measures a distance as 58.1 meters. Your calculator yields the output 36022.000000000000 when multiplying the numbers. Using the proper number of significant figures, what is the result?
A. 36020 liter-meters
B. 36022.00 liter-meters
C. 36000 liter-meters
D. 36022.000000000000 liter-meters
Answer:


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

A measuring rod with a precision of +/- 0.004 meters measures a distance of 0.654 meters and a clickwheel with a precision of +/- 0.03 meters reads 7.98 meters when measuring a distance between two different points. Using a computer, you divide the numbers and get the output 0.081954887218. How would this answer look if we reported it with the right number of significant figures?
A. 0.081954887218
B. 0.0820
C. 0.08
D. 0.082
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0003 meters measures a distance of 0.6215 meters and a ruler with a precision of +/- 0.03 meters reads 57.10 meters when measuring a distance between two different points. After dividing the former value by the latter your calculator gets the output 0.010884413310. When this output is reported to the right level of precision, what do we get?
A. 0.01
B. 0.010884413310
C. 0.01088
D. 0.0109
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds measures a duration of 0.0056 seconds and a timer with a precision of +/- 0.004 seconds measures a duration of a different event as 0.655 seconds. Using a calculator, you divide the first value by the second value and get the solution 0.008549618321. When this solution is rounded to the correct number of significant figures, what do we get?
A. 0.009
B. 0.01
C. 0.008549618321
D. 0.0085
Answer: