prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 790 meters and a spring scale with a precision of +/- 10 grams reads 40 grams when measuring a mass. Your computer produces the output 31600.000000000000 when multiplying the numbers. When this output is written to the appropriate number of significant figures, what do we get?
A. 31600.0 gram-meters
B. 31600 gram-meters
C. 31600.000000000000 gram-meters
D. 30000 gram-meters
Answer:


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

A ruler with a precision of +/- 0.0003 meters takes a measurement of 0.0085 meters, and an analytical balance with a precision of +/- 3 grams reads 521 grams when measuring a mass. You multiply the former value by the latter with a computer and get the output 4.428500000000. How would this result look if we rounded it with the proper level of precision?
A. 4.4 gram-meters
B. 4 gram-meters
C. 4.428500000000 gram-meters
D. 4.43 gram-meters
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 400 meters, and a cathetometer with a precision of +/- 0.00004 meters reads 0.00007 meters when measuring a distance between two different points. Your calculator yields the solution 5714285.714285714286 when dividing the first number by the second number. Round this solution using the right level of precision.
A. 5714285.7
B. 5714200
C. 5714285.714285714286
D. 6000000
Answer:


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

A radar-based method with a precision of +/- 10 meters measures a distance of 300 meters and an opisometer with a precision of +/- 0.002 meters reads 0.254 meters when measuring a distance between two different points. Your calculator gives the output 1181.102362204724 when dividing the numbers. If we report this output appropriately with respect to the level of precision, what is the answer?
A. 1181.10
B. 1200
C. 1181.102362204724
D. 1180
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 3 grams measures a mass of 2790 grams and a radar-based method with a precision of +/- 3 meters reads 617 meters when measuring a distance. Using a calculator, you multiply the two numbers and get the solution 1721430.000000000000. Report this solution using the appropriate number of significant figures.
A. 1721430 gram-meters
B. 1720000 gram-meters
C. 1721430.000 gram-meters
D. 1721430.000000000000 gram-meters
Answer:


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

A radar-based method with a precision of +/- 300 meters takes a measurement of 94800 meters, and a measuring stick with a precision of +/- 0.02 meters measures a distance between two different points as 0.80 meters. You divide the values with a calculator and get the output 118500.000000000000. How can we round this output to the correct number of significant figures?
A. 118500
B. 118500.00
C. 120000
D. 118500.000000000000
Answer:


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

A biltmore stick with a precision of +/- 0.01 meters measures a distance of 0.12 meters and an analytical balance with a precision of +/- 400 grams measures a mass as 345100 grams. Your computer gets the output 41412.000000000000 when multiplying the two numbers. When this output is reported to the proper level of precision, what do we get?
A. 41400 gram-meters
B. 41412.00 gram-meters
C. 41000 gram-meters
D. 41412.000000000000 gram-meters
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 268 meters, and an odometer with a precision of +/- 2000 meters reads 781000 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator app produces the output 209308000.000000000000. How can we round this output to the appropriate level of precision?
A. 209000000 meters^2
B. 209308000 meters^2
C. 209308000.000000000000 meters^2
D. 209308000.000 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 takes a measurement of 281.7 meters, and a measuring stick with a precision of +/- 0.01 meters measures a distance between two different points as 12.98 meters. You divide the first number by the second number with a calculator and get the output 21.702619414484. How can we express this output to the correct level of precision?
A. 21.70
B. 21.7026
C. 21.7
D. 21.702619414484
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0002 meters takes a measurement of 0.0066 meters, and a storage container with a precision of +/- 1 liters reads 3905 liters when measuring a volume. You multiply the two values with a computer and get the output 25.773000000000. How can we report this output to the appropriate number of significant figures?
A. 25 liter-meters
B. 26 liter-meters
C. 25.77 liter-meters
D. 25.773000000000 liter-meters
Answer:


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

A coincidence telemeter with a precision of +/- 1 meters measures a distance of 8204 meters and an opisometer with a precision of +/- 0.0001 meters reads 0.0007 meters when measuring a distance between two different points. Your calculator app gets the output 11720000.000000000000 when dividing the former number by the latter. How can we report this output to the correct number of significant figures?
A. 11720000.0
B. 11720000
C. 11720000.000000000000
D. 10000000
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0864 meters, and a tape measure with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0871 meters. After multiplying the former number by the latter your calculator produces the output 0.007525440000. Round this output using the correct number of significant figures.
A. 0.008 meters^2
B. 0.00753 meters^2
C. 0.007525440000 meters^2
D. 0.0075 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 ruler with a precision of +/- 0.04 meters measures a distance of 40.53 meters and a rangefinder with a precision of +/- 0.2 meters measures a distance between two different points as 49.7 meters. You multiply the two values with a calculator and get the solution 2014.341000000000. How can we report this solution to the suitable number of significant figures?
A. 2014.3 meters^2
B. 2010 meters^2
C. 2014.341 meters^2
D. 2014.341000000000 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.001 seconds measures a duration of 0.056 seconds and a chronometer with a precision of +/- 0.0003 seconds reads 0.0003 seconds when measuring a duration of a different event. Using a calculator app, you divide the former value by the latter and get the output 186.666666666667. If we express this output to the right level of precision, what is the result?
A. 186.7
B. 186.667
C. 200
D. 186.666666666667
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 87 liters, and a chronograph with a precision of +/- 0.003 seconds measures a duration as 0.309 seconds. You multiply the former number by the latter with a calculator and get the output 26.883000000000. Write this output using the proper number of significant figures.
A. 27 liter-seconds
B. 26.88 liter-seconds
C. 26.883000000000 liter-seconds
D. 26 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 graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 0.070 liters, and a tape measure with a precision of +/- 0.0004 meters measures a distance as 0.0042 meters. Your calculator app produces the output 16.666666666667 when dividing the numbers. Express this output using the suitable level of precision.
A. 16.667 liters/meter
B. 16.67 liters/meter
C. 17 liters/meter
D. 16.666666666667 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 rangefinder with a precision of +/- 40 meters takes a measurement of 70 meters, and a Biltmore stick with a precision of +/- 0.04 meters measures a distance between two different points as 53.78 meters. After multiplying the two values your calculator produces the output 3764.600000000000. How can we express this output to the correct level of precision?
A. 3760 meters^2
B. 3764.6 meters^2
C. 3764.600000000000 meters^2
D. 4000 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 ruler with a precision of +/- 0.02 meters takes a measurement of 65.55 meters, and an opisometer with a precision of +/- 0.004 meters measures a distance between two different points as 0.505 meters. After dividing the former number by the latter your computer produces the output 129.801980198020. When this output is written to the proper level of precision, what do we get?
A. 129.80
B. 129.801980198020
C. 130
D. 129.802
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 40 meters takes a measurement of 640 meters, and a spring scale with a precision of +/- 3 grams reads 72 grams when measuring a mass. After multiplying the values your calculator gets the solution 46080.000000000000. How can we report this solution to the appropriate number of significant figures?
A. 46080.000000000000 gram-meters
B. 46080 gram-meters
C. 46080.00 gram-meters
D. 46000 gram-meters
Answer:


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

A chronograph with a precision of +/- 0.03 seconds measures a duration of 61.06 seconds and a stadimeter with a precision of +/- 0.4 meters measures a distance as 31.3 meters. You multiply the two numbers with a calculator app and get the solution 1911.178000000000. When this solution is expressed to the right level of precision, what do we get?
A. 1911.2 meter-seconds
B. 1910 meter-seconds
C. 1911.178 meter-seconds
D. 1911.178000000000 meter-seconds
Answer:


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

A coincidence telemeter with a precision of +/- 3 meters measures a distance of 641 meters and a radar-based method with a precision of +/- 1 meters reads 78 meters when measuring a distance between two different points. Your computer yields the solution 49998.000000000000 when multiplying the two numbers. Round this solution using the suitable number of significant figures.
A. 49998.00 meters^2
B. 49998.000000000000 meters^2
C. 49998 meters^2
D. 50000 meters^2
Answer:


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

An odometer with a precision of +/- 3000 meters measures a distance of 50000 meters and a measuring tape with a precision of +/- 0.4 meters measures a distance between two different points as 6.9 meters. After multiplying the first number by the second number your computer produces the output 345000.000000000000. If we write this output correctly with respect to the number of significant figures, what is the result?
A. 345000.000000000000 meters^2
B. 345000.00 meters^2
C. 345000 meters^2
D. 340000 meters^2
Answer:


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

A radar-based method with a precision of +/- 40 meters takes a measurement of 2520 meters, and a measuring stick with a precision of +/- 0.002 meters reads 7.147 meters when measuring a distance between two different points. You multiply the first value by the second value with a calculator and get the output 18010.440000000000. Write this output using the proper level of precision.
A. 18010.440 meters^2
B. 18000 meters^2
C. 18010.440000000000 meters^2
D. 18010 meters^2
Answer:


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

A stadimeter with a precision of +/- 40 meters takes a measurement of 8550 meters, and a cathetometer with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0026 meters. Using a calculator app, you multiply the former value by the latter and get the output 22.230000000000. How would this answer look if we expressed it with the proper level of precision?
A. 22.23 meters^2
B. 22.230000000000 meters^2
C. 22 meters^2
D. 20 meters^2
Answer:


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

An odometer with a precision of +/- 2000 meters measures a distance of 602000 meters and a clickwheel with a precision of +/- 0.04 meters measures a distance between two different points as 0.06 meters. After multiplying the values your calculator app gives the output 36120.000000000000. When this output is rounded to the suitable level of precision, what do we get?
A. 36120.000000000000 meters^2
B. 40000 meters^2
C. 36120.0 meters^2
D. 36000 meters^2
Answer:


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

A stadimeter with a precision of +/- 3 meters measures a distance of 82 meters and a meter stick with a precision of +/- 0.0001 meters reads 0.3764 meters when measuring a distance between two different points. Using a calculator app, you multiply the first value by the second value and get the solution 30.864800000000. How would this result look if we rounded it with the right number of significant figures?
A. 30.86 meters^2
B. 30.864800000000 meters^2
C. 31 meters^2
D. 30 meters^2
Answer:


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

An analytical balance with a precision of +/- 0.002 grams takes a measurement of 0.333 grams, and a meter stick with a precision of +/- 0.0002 meters measures a distance as 0.0093 meters. You divide the former value by the latter with a calculator and get the solution 35.806451612903. How would this answer look if we expressed it with the appropriate level of precision?
A. 36 grams/meter
B. 35.806 grams/meter
C. 35.81 grams/meter
D. 35.806451612903 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 measuring stick with a precision of +/- 0.02 meters takes a measurement of 1.35 meters, and a measuring stick with a precision of +/- 0.4 meters reads 23.9 meters when measuring a distance between two different points. Using a computer, you divide the two numbers and get the output 0.056485355649. When this output is written to the correct number of significant figures, what do we get?
A. 0.0565
B. 0.056485355649
C. 0.056
D. 0.1
Answer:


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

A radar-based method with a precision of +/- 30 meters measures a distance of 67960 meters and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 0.101 meters. Using a calculator, you divide the numbers and get the output 672871.287128712871. Using the correct level of precision, what is the result?
A. 672870
B. 672871.287
C. 672871.287128712871
D. 673000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.01 seconds takes a measurement of 2.64 seconds, and a cathetometer with a precision of +/- 0.00001 meters reads 0.00955 meters when measuring a distance. Your computer gets the solution 0.025212000000 when multiplying the values. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 0.025 meter-seconds
B. 0.025212000000 meter-seconds
C. 0.0252 meter-seconds
D. 0.03 meter-seconds
Answer:


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

A balance with a precision of +/- 0.001 grams measures a mass of 7.336 grams and a tape measure with a precision of +/- 0.0003 meters measures a distance as 0.0010 meters. Using a calculator, you divide the first value by the second value and get the output 7336.000000000000. If we express this output appropriately with respect to the number of significant figures, what is the answer?
A. 7336.00 grams/meter
B. 7336.000 grams/meter
C. 7300 grams/meter
D. 7336.000000000000 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 caliper with a precision of +/- 0.04 meters measures a distance of 9.79 meters and a measuring rod with a precision of +/- 0.0004 meters reads 0.8615 meters when measuring a distance between two different points. After dividing the values your calculator app produces the solution 11.363900174115. How can we express this solution to the appropriate number of significant figures?
A. 11.4
B. 11.36
C. 11.363900174115
D. 11.364
Answer:


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

A stadimeter with a precision of +/- 10 meters measures a distance of 960 meters and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 0.3 meters. After multiplying the former value by the latter your calculator yields the solution 288.000000000000. Using the appropriate level of precision, what is the result?
A. 288.000000000000 meters^2
B. 280 meters^2
C. 288.0 meters^2
D. 300 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 +/- 0.003 meters measures a distance of 1.135 meters and a chronometer with a precision of +/- 0.00004 seconds measures a duration as 0.02483 seconds. Your computer gives the solution 45.710833668949 when dividing the first number by the second number. How can we express this solution to the appropriate number of significant figures?
A. 45.711 meters/second
B. 45.71 meters/second
C. 45.710833668949 meters/second
D. 45.7108 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 tape measure with a precision of +/- 0.0001 meters takes a measurement of 0.0698 meters, and a storage container with a precision of +/- 30 liters measures a volume as 500 liters. Your computer gets the solution 34.900000000000 when multiplying the two values. How can we round this solution to the appropriate number of significant figures?
A. 34.900000000000 liter-meters
B. 35 liter-meters
C. 30 liter-meters
D. 34.90 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 graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.088 liters and a chronograph with a precision of +/- 0.3 seconds measures a duration as 732.8 seconds. Your computer gives the output 64.486400000000 when multiplying the two numbers. Using the proper level of precision, what is the answer?
A. 64.5 liter-seconds
B. 64.486400000000 liter-seconds
C. 64.49 liter-seconds
D. 64 liter-seconds
Answer:


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

A spring scale with a precision of +/- 0.1 grams takes a measurement of 74.4 grams, and a caliper with a precision of +/- 0.003 meters reads 0.029 meters when measuring a distance. You divide the first number by the second number with a computer and get the solution 2565.517241379310. Using the right number of significant figures, what is the result?
A. 2565.5 grams/meter
B. 2565.52 grams/meter
C. 2565.517241379310 grams/meter
D. 2600 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 stadimeter with a precision of +/- 1 meters measures a distance of 1324 meters and a rangefinder with a precision of +/- 0.02 meters measures a distance between two different points as 0.02 meters. Your computer yields the output 66200.000000000000 when dividing the first number by the second number. How would this result look if we reported it with the right level of precision?
A. 66200
B. 66200.0
C. 66200.000000000000
D. 70000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 200 meters measures a distance of 4300 meters and a stadimeter with a precision of +/- 100 meters reads 9700 meters when measuring a distance between two different points. Your calculator app produces the solution 41710000.000000000000 when multiplying the two values. If we write this solution to the appropriate level of precision, what is the answer?
A. 41710000 meters^2
B. 41710000.000000000000 meters^2
C. 41710000.00 meters^2
D. 42000000 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.1 meters takes a measurement of 7.1 meters, and a tape measure with a precision of +/- 0.0003 meters measures a distance between two different points as 0.6856 meters. Your computer gives the solution 10.355892648775 when dividing the first value by the second value. If we express this solution properly with respect to the level of precision, what is the answer?
A. 10.355892648775
B. 10
C. 10.4
D. 10.36
Answer:


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

A hydraulic scale with a precision of +/- 10 grams measures a mass of 3710 grams and a ruler with a precision of +/- 0.04 meters reads 0.02 meters when measuring a distance. You divide the first value by the second value with a computer and get the solution 185500.000000000000. If we round this solution suitably with respect to the number of significant figures, what is the result?
A. 185500 grams/meter
B. 185500.000000000000 grams/meter
C. 185500.0 grams/meter
D. 200000 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 +/- 0.00003 meters takes a measurement of 0.08420 meters, and a hydraulic scale with a precision of +/- 0.0002 grams measures a mass as 0.0102 grams. Your calculator gives the output 0.000858840000 when multiplying the two numbers. How can we express this output to the correct level of precision?
A. 0.001 gram-meters
B. 0.0009 gram-meters
C. 0.000859 gram-meters
D. 0.000858840000 gram-meters
Answer:


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

A measuring stick with a precision of +/- 0.004 meters measures a distance of 0.020 meters and a chronograph with a precision of +/- 0.3 seconds measures a duration as 3.7 seconds. After multiplying the numbers your calculator gets the solution 0.074000000000. When this solution is reported to the suitable level of precision, what do we get?
A. 0.074000000000 meter-seconds
B. 0.1 meter-seconds
C. 0.074 meter-seconds
D. 0.07 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 stopwatch with a precision of +/- 0.003 seconds takes a measurement of 0.926 seconds, and a hydraulic scale with a precision of +/- 40 grams measures a mass as 85920 grams. You multiply the first value by the second value with a calculator app and get the output 79561.920000000000. When this output is written to the suitable level of precision, what do we get?
A. 79561.920 gram-seconds
B. 79600 gram-seconds
C. 79561.920000000000 gram-seconds
D. 79560 gram-seconds
Answer:


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

A radar-based method with a precision of +/- 30 meters takes a measurement of 610 meters, and a rangefinder with a precision of +/- 0.01 meters reads 1.52 meters when measuring a distance between two different points. Using a calculator app, you multiply the former value by the latter and get the output 927.200000000000. Using the suitable number of significant figures, what is the answer?
A. 927.200000000000 meters^2
B. 927.20 meters^2
C. 930 meters^2
D. 920 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 +/- 300 grams takes a measurement of 70100 grams, and a stadimeter with a precision of +/- 0.1 meters measures a distance as 22.8 meters. You divide the two numbers with a calculator and get the output 3074.561403508772. Using the right number of significant figures, what is the answer?
A. 3000 grams/meter
B. 3074.561 grams/meter
C. 3074.561403508772 grams/meter
D. 3070 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 storage container with a precision of +/- 40 liters takes a measurement of 63560 liters, and a measuring flask with a precision of +/- 0.02 liters reads 95.30 liters when measuring a volume of a different quantity of liquid. Your computer yields the output 666.946484784890 when dividing the former value by the latter. Express this output using the suitable number of significant figures.
A. 666.9465
B. 666.9
C. 666.946484784890
D. 660
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0610 meters, and a ruler with a precision of +/- 0.0003 meters reads 0.0924 meters when measuring a distance between two different points. After multiplying the two values your calculator yields the solution 0.005636400000. If we write this solution to the suitable number of significant figures, what is the answer?
A. 0.005636400000 meters^2
B. 0.00564 meters^2
C. 0.0056 meters^2
D. 0.006 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.01 seconds measures a duration of 74.24 seconds and an opisometer with a precision of +/- 0.01 meters reads 1.60 meters when measuring a distance. Your calculator produces the output 118.784000000000 when multiplying the first number by the second number. If we express this output to the correct level of precision, what is the result?
A. 118.78 meter-seconds
B. 119 meter-seconds
C. 118.784000000000 meter-seconds
D. 118.784 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 spring scale with a precision of +/- 0.0004 grams takes a measurement of 0.5736 grams, and a measuring flask with a precision of +/- 0.01 liters reads 31.04 liters when measuring a volume. You divide the former value by the latter with a computer and get the output 0.018479381443. Report this output using the suitable number of significant figures.
A. 0.01848 grams/liter
B. 0.0185 grams/liter
C. 0.02 grams/liter
D. 0.018479381443 grams/liter
Answer:


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

A coincidence telemeter with a precision of +/- 3 meters takes a measurement of 24 meters, and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00062 seconds. Your calculator app gives the solution 38709.677419354839 when dividing the former number by the latter. How would this answer look if we reported it with the proper level of precision?
A. 38709.677419354839 meters/second
B. 38709.68 meters/second
C. 38709 meters/second
D. 39000 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 spring scale with a precision of +/- 0.02 grams measures a mass of 6.89 grams and a coincidence telemeter with a precision of +/- 0.1 meters reads 46.5 meters when measuring a distance. Using a calculator, you multiply the values and get the output 320.385000000000. When this output is reported to the suitable number of significant figures, what do we get?
A. 320 gram-meters
B. 320.385 gram-meters
C. 320.385000000000 gram-meters
D. 320.4 gram-meters
Answer:


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

A radar-based method with a precision of +/- 10 meters measures a distance of 300 meters and a Biltmore stick with a precision of +/- 0.03 meters reads 19.00 meters when measuring a distance between two different points. After dividing the numbers your calculator app yields the solution 15.789473684211. How would this answer look if we reported it with the right level of precision?
A. 15.79
B. 15.789473684211
C. 16
D. 10
Answer:


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

A stadimeter with a precision of +/- 2 meters measures a distance of 1583 meters and a coincidence telemeter with a precision of +/- 200 meters reads 18600 meters when measuring a distance between two different points. After multiplying the two numbers your calculator app gives the output 29443800.000000000000. When this output is reported to the right level of precision, what do we get?
A. 29443800.000000000000 meters^2
B. 29443800 meters^2
C. 29443800.000 meters^2
D. 29400000 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 +/- 0.00004 seconds takes a measurement of 0.09635 seconds, and a measuring tape with a precision of +/- 0.4 meters reads 604.1 meters when measuring a distance. Using a computer, you multiply the first value by the second value and get the output 58.205035000000. When this output is expressed to the proper level of precision, what do we get?
A. 58.2 meter-seconds
B. 58.2050 meter-seconds
C. 58.205035000000 meter-seconds
D. 58.21 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 opisometer with a precision of +/- 0.003 meters takes a measurement of 0.081 meters, and a Biltmore stick with a precision of +/- 0.2 meters reads 1.0 meters when measuring a distance between two different points. Using a calculator, you divide the first value by the second value and get the solution 0.081000000000. If we write this solution to the right number of significant figures, what is the answer?
A. 0.1
B. 0.08
C. 0.081000000000
D. 0.081
Answer:


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

A biltmore stick with a precision of +/- 0.2 meters measures a distance of 790.9 meters and a balance with a precision of +/- 2 grams reads 54 grams when measuring a mass. You multiply the values with a computer and get the output 42708.600000000000. Using the suitable number of significant figures, what is the result?
A. 42708.600000000000 gram-meters
B. 42708.60 gram-meters
C. 42708 gram-meters
D. 43000 gram-meters
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 520100 meters, and a cathetometer with a precision of +/- 0.00002 meters reads 0.00008 meters when measuring a distance between two different points. You divide the numbers with a calculator app and get the output 6501250000.000000000000. If we round this output to the correct level of precision, what is the answer?
A. 7000000000
B. 6501250000
C. 6501250000.0
D. 6501250000.000000000000
Answer:


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

A chronograph with a precision of +/- 0.004 seconds measures a duration of 0.114 seconds and a measuring tape with a precision of +/- 0.04 meters reads 98.59 meters when measuring a distance. Using a calculator, you multiply the numbers and get the output 11.239260000000. If we write this output to the right level of precision, what is the answer?
A. 11.239260000000 meter-seconds
B. 11.2 meter-seconds
C. 11.24 meter-seconds
D. 11.239 meter-seconds
Answer:


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

A rangefinder with a precision of +/- 0.04 meters takes a measurement of 88.25 meters, and a caliper with a precision of +/- 0.03 meters measures a distance between two different points as 0.05 meters. After dividing the first value by the second value your computer gives the solution 1765.000000000000. Round this solution using the right number of significant figures.
A. 2000
B. 1765.0
C. 1765.000000000000
D. 1765.00
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds measures a duration of 2.0 seconds and a clickwheel with a precision of +/- 0.2 meters measures a distance as 52.6 meters. You multiply the two numbers with a computer and get the solution 105.200000000000. Express this solution using the suitable number of significant figures.
A. 110 meter-seconds
B. 105.20 meter-seconds
C. 105.2 meter-seconds
D. 105.200000000000 meter-seconds
Answer:


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

A balance with a precision of +/- 4 grams takes a measurement of 51 grams, and a rangefinder with a precision of +/- 4 meters reads 10 meters when measuring a distance. Your calculator gives the solution 5.100000000000 when dividing the former value by the latter. If we express this solution to the proper number of significant figures, what is the result?
A. 5.100000000000 grams/meter
B. 5.10 grams/meter
C. 5.1 grams/meter
D. 5 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 coincidence telemeter with a precision of +/- 40 meters measures a distance of 100 meters and a clickwheel with a precision of +/- 0.02 meters reads 5.96 meters when measuring a distance between two different points. Using a calculator, you divide the two numbers and get the output 16.778523489933. If we write this output to the right number of significant figures, what is the answer?
A. 17
B. 16.78
C. 10
D. 16.778523489933
Answer:


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

An odometer with a precision of +/- 400 meters takes a measurement of 468400 meters, and a chronograph with a precision of +/- 0.3 seconds reads 0.3 seconds when measuring a duration. Your calculator produces the output 1561333.333333333333 when dividing the numbers. Using the correct level of precision, what is the result?
A. 1561333.333333333333 meters/second
B. 1561300 meters/second
C. 2000000 meters/second
D. 1561333.3 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 cathetometer with a precision of +/- 0.0001 meters takes a measurement of 0.1288 meters, and a measuring rod with a precision of +/- 0.001 meters measures a distance between two different points as 5.856 meters. You divide the numbers with a calculator app and get the solution 0.021994535519. If we express this solution to the proper level of precision, what is the answer?
A. 0.022
B. 0.0220
C. 0.02199
D. 0.021994535519
Answer:


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

A radar-based method with a precision of +/- 20 meters takes a measurement of 8870 meters, and a Biltmore stick with a precision of +/- 0.02 meters reads 74.75 meters when measuring a distance between two different points. Using a computer, you divide the two values and get the solution 118.662207357860. If we express this solution to the correct number of significant figures, what is the result?
A. 118.662207357860
B. 119
C. 110
D. 118.662
Answer:


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

A stadimeter with a precision of +/- 300 meters measures a distance of 600 meters and a measuring stick with a precision of +/- 0.1 meters measures a distance between two different points as 0.4 meters. After dividing the former value by the latter your calculator app gives the output 1500.000000000000. Report this output using the right number of significant figures.
A. 2000
B. 1500.0
C. 1500.000000000000
D. 1500
Answer:


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

An odometer with a precision of +/- 2000 meters takes a measurement of 669000 meters, and a coincidence telemeter with a precision of +/- 20 meters reads 30 meters when measuring a distance between two different points. Your calculator gets the output 22300.000000000000 when dividing the first value by the second value. Round this output using the proper number of significant figures.
A. 22300.0
B. 20000
C. 22000
D. 22300.000000000000
Answer:


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

A spring scale with a precision of +/- 0.1 grams takes a measurement of 89.5 grams, and a rangefinder with a precision of +/- 20 meters reads 440 meters when measuring a distance. You multiply the former value by the latter with a calculator app and get the output 39380.000000000000. Using the appropriate number of significant figures, what is the result?
A. 39380 gram-meters
B. 39380.000000000000 gram-meters
C. 39380.00 gram-meters
D. 39000 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 +/- 0.03 meters measures a distance of 6.44 meters and a measuring flask with a precision of +/- 0.002 liters reads 6.200 liters when measuring a volume. Using a calculator app, you multiply the two numbers and get the output 39.928000000000. How would this answer look if we rounded it with the proper level of precision?
A. 39.928000000000 liter-meters
B. 39.9 liter-meters
C. 39.93 liter-meters
D. 39.928 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 +/- 0.02 meters takes a measurement of 19.97 meters, and a measuring rod with a precision of +/- 0.001 meters reads 0.008 meters when measuring a distance between two different points. Using a calculator app, you divide the former number by the latter and get the solution 2496.250000000000. When this solution is reported to the proper number of significant figures, what do we get?
A. 2496.2
B. 2496.250000000000
C. 2000
D. 2496.25
Answer:


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

A balance with a precision of +/- 200 grams takes a measurement of 47500 grams, and a ruler with a precision of +/- 0.0004 meters reads 0.0010 meters when measuring a distance. Your calculator yields the solution 47500000.000000000000 when dividing the values. Using the right number of significant figures, what is the answer?
A. 47500000.00 grams/meter
B. 48000000 grams/meter
C. 47500000 grams/meter
D. 47500000.000000000000 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 measuring stick with a precision of +/- 0.03 meters measures a distance of 0.69 meters and a chronograph with a precision of +/- 0.2 seconds measures a duration as 71.6 seconds. After multiplying the two numbers your computer gets the output 49.404000000000. If we write this output to the correct level of precision, what is the answer?
A. 49.40 meter-seconds
B. 49.404000000000 meter-seconds
C. 49 meter-seconds
D. 49.4 meter-seconds
Answer:


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

A cathetometer with a precision of +/- 0.00001 meters takes a measurement of 0.03758 meters, and an analytical balance with a precision of +/- 0.0003 grams reads 0.0008 grams when measuring a mass. After dividing the first number by the second number your calculator gives the solution 46.975000000000. How can we write this solution to the correct number of significant figures?
A. 46.9750 meters/gram
B. 50 meters/gram
C. 46.975000000000 meters/gram
D. 47.0 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 ruler with a precision of +/- 0.01 meters measures a distance of 0.45 meters and a chronograph with a precision of +/- 0.1 seconds measures a duration as 63.5 seconds. You multiply the first value by the second value with a calculator and get the output 28.575000000000. If we report this output to the right number of significant figures, what is the answer?
A. 28.575000000000 meter-seconds
B. 28.58 meter-seconds
C. 28.6 meter-seconds
D. 29 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).
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An odometer with a precision of +/- 400 meters takes a measurement of 314000 meters, and a hydraulic scale with a precision of +/- 0.003 grams measures a mass as 0.004 grams. Using a calculator app, you multiply the former number by the latter and get the output 1256.000000000000. When this output is rounded to the right number of significant figures, what do we get?
A. 1200 gram-meters
B. 1000 gram-meters
C. 1256.000000000000 gram-meters
D. 1256.0 gram-meters
Answer: