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

A cathetometer with a precision of +/- 0.00002 meters measures a distance of 0.00001 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.1186 meters. After dividing the former number by the latter your calculator yields the output 0.000084317032. If we report this output to the appropriate level of precision, what is the answer?
A. 0.00008
B. 0.000084317032
C. 0.0001
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 5518 meters and a tape measure with a precision of +/- 0.004 meters measures a distance between two different points as 0.008 meters. Your calculator yields the solution 44.144000000000 when multiplying the former number by the latter. How would this answer look if we expressed it with the proper number of significant digits?
A. 40 meters^2
B. 44 meters^2
C. 44.144000000000 meters^2
D. 44.1 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.4 seconds measures a duration of 0.8 seconds and a radar-based method with a precision of +/- 40 meters reads 850 meters when measuring a distance. You multiply the first number by the second number with a calculator app and get the output 680.000000000000. If we write this output to the appropriate level of precision, what is the result?
A. 680.000000000000 meter-seconds
B. 700 meter-seconds
C. 680 meter-seconds
D. 680.0 meter-seconds
Answer:


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

A coincidence telemeter with a precision of +/- 0.4 meters takes a measurement of 1.0 meters, and a measuring stick with a precision of +/- 0.001 meters measures a distance between two different points as 0.078 meters. Your calculator gives the output 0.078000000000 when multiplying the first value by the second value. How can we report this output to the suitable level of precision?
A. 0.1 meters^2
B. 0.08 meters^2
C. 0.078000000000 meters^2
D. 0.078 meters^2
Answer:


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

A caliper with a precision of +/- 0.001 meters measures a distance of 0.019 meters and a measuring rod with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0270 meters. Your computer produces the output 0.000513000000 when multiplying the values. Report this output using the correct level of precision.
A. 0.001 meters^2
B. 0.00051 meters^2
C. 0.000513000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.016 liters and a cathetometer with a precision of +/- 0.0004 meters reads 0.0008 meters when measuring a distance. Your calculator app produces the solution 20.000000000000 when dividing the values. Using the appropriate number of significant digits, what is the answer?
A. 20.000000000000 liters/meter
B. 20.0 liters/meter
C. 20 liters/meter
D. 20.000 liters/meter
Answer:


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

A storage container with a precision of +/- 0.4 liters measures a volume of 88.5 liters and a chronometer with a precision of +/- 0.0003 seconds measures a duration as 0.0005 seconds. You divide the numbers with a computer and get the output 177000.000000000000. If we report this output suitably with respect to the level of precision, what is the result?
A. 177000.000000000000 liters/second
B. 177000.0 liters/second
C. 200000 liters/second
Answer:


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

A storage container with a precision of +/- 4 liters measures a volume of 635 liters and an analytical balance with a precision of +/- 0.003 grams measures a mass as 0.010 grams. After dividing the two values your calculator gives the solution 63500.000000000000. Using the correct level of precision, what is the answer?
A. 64000 liters/gram
B. 63500 liters/gram
C. 63500.00 liters/gram
D. 63500.000000000000 liters/gram
Answer:


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

A caliper with a precision of +/- 0.004 meters takes a measurement of 0.516 meters, and a measuring stick with a precision of +/- 0.2 meters reads 95.3 meters when measuring a distance between two different points. You multiply the former value by the latter with a calculator and get the output 49.174800000000. How can we report this output to the appropriate level of precision?
A. 49.174800000000 meters^2
B. 49.2 meters^2
C. 49.175 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.002 meters measures a distance of 2.083 meters and a cathetometer with a precision of +/- 0.0002 meters reads 0.0006 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the solution 3471.666666666667. How can we write this solution to the proper level of precision?
A. 3471.667
B. 3000
C. 3471.666666666667
D. 3471.7
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 meters takes a measurement of 5.67 meters, and a spring scale with a precision of +/- 0.02 grams measures a mass as 9.16 grams. Using a calculator, you multiply the two numbers and get the solution 51.937200000000. When this solution is expressed to the suitable number of significant digits, what do we get?
A. 51.9 gram-meters
B. 51.937 gram-meters
C. 51.94 gram-meters
D. 51.937200000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 meters takes a measurement of 2.55 meters, and a measuring rod with a precision of +/- 0.0003 meters measures a distance between two different points as 0.2402 meters. After multiplying the first value by the second value your computer gets the output 0.612510000000. How would this answer look if we reported it with the proper level of precision?
A. 0.612510000000 meters^2
B. 0.61 meters^2
C. 0.613 meters^2
Answer:


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

A storage container with a precision of +/- 3 liters takes a measurement of 3214 liters, and a meter stick with a precision of +/- 0.0001 meters measures a distance as 0.0314 meters. You divide the two values with a computer and get the solution 102356.687898089172. How can we round this solution to the right number of significant digits?
A. 102356 liters/meter
B. 102000 liters/meter
C. 102356.688 liters/meter
D. 102356.687898089172 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 3000 grams takes a measurement of 60000 grams, and a rangefinder with a precision of +/- 0.0003 meters reads 0.0007 meters when measuring a distance. Using a computer, you divide the former number by the latter and get the output 85714285.714285714286. How can we round this output to the right level of precision?
A. 90000000 grams/meter
B. 85714000 grams/meter
C. 85714285.7 grams/meter
D. 85714285.714285714286 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.02 meters measures a distance of 31.03 meters and an odometer with a precision of +/- 200 meters measures a distance between two different points as 4100 meters. Using a calculator app, you multiply the former number by the latter and get the solution 127223.000000000000. If we round this solution to the right level of precision, what is the result?
A. 127200 meters^2
B. 127223.000000000000 meters^2
C. 130000 meters^2
D. 127223.00 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 4000 grams measures a mass of 7000 grams and a timer with a precision of +/- 0.02 seconds measures a duration as 54.29 seconds. You multiply the numbers with a calculator and get the output 380030.000000000000. How can we report this output to the correct level of precision?
A. 380000 gram-seconds
B. 380030.000000000000 gram-seconds
C. 400000 gram-seconds
D. 380030.0 gram-seconds
Answer:


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

A rangefinder with a precision of +/- 0.2 meters takes a measurement of 2.1 meters, and a ruler with a precision of +/- 0.3 meters reads 5.9 meters when measuring a distance between two different points. You multiply the values with a calculator and get the output 12.390000000000. When this output is written to the right level of precision, what do we get?
A. 12.390000000000 meters^2
B. 12.39 meters^2
C. 12.4 meters^2
D. 12 meters^2
Answer:


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

A radar-based method with a precision of +/- 2 meters takes a measurement of 2711 meters, and a tape measure with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0005 meters. Using a calculator app, you multiply the two numbers and get the output 1.355500000000. Report this output using the correct level of precision.
A. 1.355500000000 meters^2
B. 1 meters^2
C. 1.4 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a distance of 5 meters and a measuring rod with a precision of +/- 0.001 meters reads 0.001 meters when measuring a distance between two different points. Using a calculator, you divide the two numbers and get the solution 5000.000000000000. Write this solution using the right level of precision.
A. 5000.0
B. 5000.000000000000
C. 5000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0004 meters measures a distance of 0.0933 meters and a cathetometer with a precision of +/- 0.0002 meters measures a distance between two different points as 0.5751 meters. Using a computer, you multiply the numbers and get the solution 0.053656830000. If we express this solution properly with respect to the number of significant digits, what is the result?
A. 0.0537 meters^2
B. 0.054 meters^2
C. 0.053656830000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.3 meters takes a measurement of 87.6 meters, and a radar-based method with a precision of +/- 30 meters reads 20 meters when measuring a distance between two different points. Using a calculator, you multiply the numbers and get the solution 1752.000000000000. If we write this solution to the right number of significant digits, what is the answer?
A. 1750 meters^2
B. 1752.0 meters^2
C. 1752.000000000000 meters^2
D. 2000 meters^2
Answer:


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

A stadimeter with a precision of +/- 100 meters takes a measurement of 441600 meters, and a measuring tape with a precision of +/- 0.4 meters measures a distance between two different points as 7.8 meters. You multiply the former value by the latter with a calculator and get the solution 3444480.000000000000. If we round this solution to the suitable number of significant digits, what is the answer?
A. 3400000 meters^2
B. 3444480.000000000000 meters^2
C. 3444480.00 meters^2
D. 3444400 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 431.9 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0003 meters. Using a calculator app, you divide the two numbers and get the output 1439666.666666666667. If we round this output suitably with respect to the level of precision, what is the answer?
A. 1439666.666666666667
B. 1000000
C. 1439666.7
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.296 liters, and a clickwheel with a precision of +/- 0.2 meters measures a distance as 0.1 meters. Using a calculator app, you divide the numbers and get the output 2.960000000000. How can we express this output to the proper level of precision?
A. 3 liters/meter
B. 3.0 liters/meter
C. 2.960000000000 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 20 grams measures a mass of 5850 grams and a radar-based method with a precision of +/- 20 meters reads 50 meters when measuring a distance. Your computer gives the output 292500.000000000000 when multiplying the first number by the second number. Round this output using the correct number of significant digits.
A. 292500 gram-meters
B. 292500.000000000000 gram-meters
C. 300000 gram-meters
D. 292500.0 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.001 liters takes a measurement of 0.042 liters, and a measuring flask with a precision of +/- 0.01 liters measures a volume of a different quantity of liquid as 1.72 liters. After multiplying the two numbers your calculator app gets the output 0.072240000000. When this output is expressed to the correct level of precision, what do we get?
A. 0.072240000000 liters^2
B. 0.07 liters^2
C. 0.072 liters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a distance of 0.0061 meters and a measuring stick with a precision of +/- 0.001 meters measures a distance between two different points as 0.406 meters. Using a computer, you divide the former number by the latter and get the solution 0.015024630542. If we round this solution to the appropriate number of significant digits, what is the result?
A. 0.02
B. 0.015024630542
C. 0.015
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a duration of 6.76 seconds and a measuring flask with a precision of +/- 0.002 liters measures a volume as 0.606 liters. After multiplying the former value by the latter your computer produces the output 4.096560000000. Round this output using the right number of significant digits.
A. 4.097 liter-seconds
B. 4.10 liter-seconds
C. 4.096560000000 liter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 86.18 meters, and a measuring flask with a precision of +/- 0.001 liters measures a volume as 0.006 liters. You divide the former number by the latter with a calculator and get the solution 14363.333333333333. How can we round this solution to the appropriate number of significant digits?
A. 14363.333333333333 meters/liter
B. 14363.33 meters/liter
C. 14363.3 meters/liter
D. 10000 meters/liter
Answer:


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

A stadimeter with a precision of +/- 10 meters takes a measurement of 70 meters, and a measuring rod with a precision of +/- 0.002 meters reads 0.413 meters when measuring a distance between two different points. You multiply the numbers with a computer and get the output 28.910000000000. How can we write this output to the proper level of precision?
A. 28.9 meters^2
B. 30 meters^2
C. 20 meters^2
D. 28.910000000000 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.4 meters takes a measurement of 25.1 meters, and a stadimeter with a precision of +/- 0.3 meters measures a distance between two different points as 4.1 meters. Your calculator yields the solution 102.910000000000 when multiplying the two numbers. Round this solution using the appropriate number of significant digits.
A. 102.9 meters^2
B. 102.910000000000 meters^2
C. 100 meters^2
D. 102.91 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 77000 meters and a stopwatch with a precision of +/- 0.01 seconds reads 3.34 seconds when measuring a duration. You divide the first number by the second number with a computer and get the solution 23053.892215568862. If we express this solution properly with respect to the level of precision, what is the result?
A. 23053.892215568862 meters/second
B. 23053.89 meters/second
C. 23000 meters/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 100 meters measures a distance of 2300 meters and a cathetometer with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0009 meters. After multiplying the values your calculator yields the output 2.070000000000. Using the correct number of significant digits, what is the result?
A. 2 meters^2
B. 2.070000000000 meters^2
C. 2.1 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.002 seconds takes a measurement of 0.715 seconds, and a tape measure with a precision of +/- 0.002 meters reads 0.016 meters when measuring a distance. Your calculator app yields the output 44.687500000000 when dividing the two numbers. If we report this output properly with respect to the number of significant digits, what is the result?
A. 44.687500000000 seconds/meter
B. 44.688 seconds/meter
C. 45 seconds/meter
D. 44.69 seconds/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters takes a measurement of 0.019 meters, and a measuring tape with a precision of +/- 0.04 meters reads 0.09 meters when measuring a distance between two different points. Your computer yields the solution 0.211111111111 when dividing the numbers. When this solution is written to the correct number of significant digits, what do we get?
A. 0.2
B. 0.21
C. 0.211111111111
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.2 meters takes a measurement of 0.3 meters, and a coincidence telemeter with a precision of +/- 10 meters measures a distance between two different points as 30 meters. Using a computer, you multiply the first value by the second value and get the output 9.000000000000. If we write this output to the right number of significant digits, what is the answer?
A. 9.000000000000 meters^2
B. 9 meters^2
C. 9.0 meters^2
Answer:


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

A clickwheel with a precision of +/- 0.03 meters takes a measurement of 95.49 meters, and an analytical balance with a precision of +/- 40 grams measures a mass as 36720 grams. After multiplying the first value by the second value your computer gets the output 3506392.800000000000. If we round this output properly with respect to the level of precision, what is the answer?
A. 3506390 gram-meters
B. 3506392.800000000000 gram-meters
C. 3506000 gram-meters
D. 3506392.8000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 275 grams and a chronograph with a precision of +/- 0.1 seconds reads 1.9 seconds when measuring a duration. After dividing the first number by the second number your calculator app gets the solution 144.736842105263. If we write this solution to the correct number of significant digits, what is the answer?
A. 144.74 grams/second
B. 144.736842105263 grams/second
C. 140 grams/second
D. 144 grams/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 measures a distance of 34300 meters and a tape measure with a precision of +/- 0.0002 meters measures a distance between two different points as 0.2902 meters. Your calculator gets the solution 9953.860000000000 when multiplying the former number by the latter. Express this solution using the right number of significant digits.
A. 9953.860 meters^2
B. 9953.860000000000 meters^2
C. 9900 meters^2
D. 9950 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.04 liters takes a measurement of 0.75 liters, and a measuring stick with a precision of +/- 0.4 meters measures a distance as 86.0 meters. Your computer gets the output 64.500000000000 when multiplying the two numbers. Write this output using the right number of significant digits.
A. 64.500000000000 liter-meters
B. 64.50 liter-meters
C. 64 liter-meters
D. 64.5 liter-meters
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters takes a measurement of 30.1 meters, and a spring scale with a precision of +/- 300 grams measures a mass as 400 grams. Using a calculator app, you divide the numbers and get the solution 0.075250000000. How can we write this solution to the proper level of precision?
A. 0.075250000000 meters/gram
B. 0.08 meters/gram
C. 0.1 meters/gram
Answer:


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

A meter stick with a precision of +/- 0.0003 meters measures a distance of 0.0158 meters and a balance with a precision of +/- 0.002 grams reads 0.058 grams when measuring a mass. Your computer produces the solution 0.000916400000 when multiplying the first number by the second number. When this solution is written to the appropriate level of precision, what do we get?
A. 0.001 gram-meters
B. 0.00092 gram-meters
C. 0.000916400000 gram-meters
Answer:


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

A chronometer with a precision of +/- 0.00002 seconds measures a duration of 0.05042 seconds and an opisometer with a precision of +/- 1 meters reads 470 meters when measuring a distance. You multiply the first number by the second number with a calculator app and get the solution 23.697400000000. How can we report this solution to the appropriate level of precision?
A. 23 meter-seconds
B. 23.7 meter-seconds
C. 23.697400000000 meter-seconds
D. 23.697 meter-seconds
Answer:


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

A stopwatch with a precision of +/- 0.03 seconds measures a duration of 6.70 seconds and a measuring tape with a precision of +/- 0.04 meters measures a distance as 0.41 meters. Using a calculator, you multiply the former number by the latter and get the solution 2.747000000000. If we write this solution to the correct level of precision, what is the result?
A. 2.75 meter-seconds
B. 2.747000000000 meter-seconds
C. 2.7 meter-seconds
Answer:


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

A measuring tape with a precision of +/- 0.01 meters takes a measurement of 0.40 meters, and a Biltmore stick with a precision of +/- 0.02 meters measures a distance between two different points as 9.38 meters. After multiplying the values your computer gives the output 3.752000000000. How would this answer look if we rounded it with the suitable number of significant digits?
A. 3.8 meters^2
B. 3.75 meters^2
C. 3.752000000000 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0003 meters measures a distance of 0.0045 meters and a storage container with a precision of +/- 0.1 liters reads 2.3 liters when measuring a volume. Using a computer, you multiply the numbers and get the output 0.010350000000. If we round this output to the right number of significant digits, what is the result?
A. 0.010 liter-meters
B. 0.01 liter-meters
C. 0.010350000000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 5.26 meters, and a hydraulic scale with a precision of +/- 0.04 grams measures a mass as 0.22 grams. You divide the two numbers with a computer and get the solution 23.909090909091. How can we write this solution to the right number of significant digits?
A. 23.91 meters/gram
B. 24 meters/gram
C. 23.909090909091 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.4 grams measures a mass of 0.8 grams and a coincidence telemeter with a precision of +/- 300 meters measures a distance as 40800 meters. Using a computer, you multiply the former value by the latter and get the solution 32640.000000000000. Report this solution using the suitable number of significant digits.
A. 30000 gram-meters
B. 32640.0 gram-meters
C. 32600 gram-meters
D. 32640.000000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.02 grams measures a mass of 0.21 grams and an opisometer with a precision of +/- 0.2 meters reads 88.7 meters when measuring a distance. Using a calculator app, you multiply the first number by the second number and get the output 18.627000000000. Using the suitable number of significant digits, what is the answer?
A. 18.63 gram-meters
B. 18.627000000000 gram-meters
C. 19 gram-meters
D. 18.6 gram-meters
Answer:


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

A stadimeter with a precision of +/- 0.1 meters measures a distance of 89.4 meters and a tape measure with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0077 meters. After dividing the former value by the latter your calculator produces the solution 11610.389610389610. If we round this solution correctly with respect to the number of significant digits, what is the result?
A. 11610.389610389610
B. 12000
C. 11610.4
D. 11610.39
Answer:


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

A caliper with a precision of +/- 0.004 meters takes a measurement of 8.365 meters, and a chronograph with a precision of +/- 0.04 seconds measures a duration as 42.09 seconds. Your computer produces the output 352.082850000000 when multiplying the values. When this output is written to the right number of significant digits, what do we get?
A. 352.1 meter-seconds
B. 352.082850000000 meter-seconds
C. 352.08 meter-seconds
D. 352.0828 meter-seconds
Answer:


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

A measuring stick with a precision of +/- 0.2 meters takes a measurement of 716.0 meters, and a meter stick with a precision of +/- 0.0004 meters reads 0.4777 meters when measuring a distance between two different points. You divide the former value by the latter with a computer and get the solution 1498.848649780197. How can we report this solution to the correct number of significant digits?
A. 1498.8486
B. 1498.8
C. 1499
D. 1498.848649780197
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.0192 seconds, and a meter stick with a precision of +/- 0.0003 meters reads 0.0089 meters when measuring a distance. Using a computer, you divide the former value by the latter and get the output 2.157303370787. How can we write this output to the right number of significant digits?
A. 2.2 seconds/meter
B. 2.1573 seconds/meter
C. 2.16 seconds/meter
D. 2.157303370787 seconds/meter
Answer:


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

A hydraulic scale with a precision of +/- 20 grams takes a measurement of 30 grams, and a balance with a precision of +/- 0.0002 grams measures a mass of a different object as 0.0613 grams. You divide the values with a computer and get the output 489.396411092985. Using the suitable level of precision, what is the result?
A. 489.4
B. 489.396411092985
C. 500
D. 480
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.002 meters measures a distance of 0.036 meters and a stadimeter with a precision of +/- 0.3 meters reads 1.0 meters when measuring a distance between two different points. Using a calculator app, you multiply the values and get the solution 0.036000000000. How can we report this solution to the suitable level of precision?
A. 0.036 meters^2
B. 0.036000000000 meters^2
C. 0.04 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 54.2 meters and a hydraulic scale with a precision of +/- 10 grams measures a mass as 4530 grams. Your calculator produces the solution 245526.000000000000 when multiplying the former number by the latter. How would this result look if we reported it with the right number of significant digits?
A. 245526.000 gram-meters
B. 246000 gram-meters
C. 245520 gram-meters
D. 245526.000000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.44 meters, and a hydraulic scale with a precision of +/- 0.004 grams measures a mass as 2.791 grams. You multiply the first value by the second value with a computer and get the output 1.228040000000. Round this output using the proper level of precision.
A. 1.2 gram-meters
B. 1.228040000000 gram-meters
C. 1.23 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.4 seconds takes a measurement of 40.8 seconds, and a caliper with a precision of +/- 0.001 meters reads 0.081 meters when measuring a distance. Using a calculator app, you divide the first value by the second value and get the output 503.703703703704. When this output is reported to the correct level of precision, what do we get?
A. 503.7 seconds/meter
B. 503.703703703704 seconds/meter
C. 500 seconds/meter
D. 503.70 seconds/meter
Answer:


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

A chronometer with a precision of +/- 0.0004 seconds takes a measurement of 0.0723 seconds, and a stopwatch with a precision of +/- 0.01 seconds measures a duration of a different event as 3.00 seconds. Your calculator app yields the solution 0.216900000000 when multiplying the numbers. If we express this solution correctly with respect to the number of significant digits, what is the answer?
A. 0.22 seconds^2
B. 0.216900000000 seconds^2
C. 0.217 seconds^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 0.087 liters, and a measuring rod with a precision of +/- 0.03 meters reads 1.03 meters when measuring a distance. You divide the two numbers with a calculator and get the output 0.084466019417. Write this output using the right number of significant digits.
A. 0.084466019417 liters/meter
B. 0.08 liters/meter
C. 0.084 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 20 grams measures a mass of 73150 grams and a tape measure with a precision of +/- 0.0004 meters reads 0.0893 meters when measuring a distance. You multiply the former number by the latter with a computer and get the solution 6532.295000000000. How would this answer look if we expressed it with the appropriate level of precision?
A. 6532.295000000000 gram-meters
B. 6530 gram-meters
C. 6532.295 gram-meters
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 0.7 meters and a stopwatch with a precision of +/- 0.1 seconds reads 203.1 seconds when measuring a duration. You multiply the numbers with a calculator app and get the solution 142.170000000000. If we report this solution to the appropriate number of significant digits, what is the result?
A. 100 meter-seconds
B. 142.170000000000 meter-seconds
C. 142.2 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 670 meters, and a timer with a precision of +/- 0.001 seconds reads 0.003 seconds when measuring a duration. Your calculator gives the output 223333.333333333333 when dividing the first value by the second value. How can we express this output to the suitable number of significant digits?
A. 223330 meters/second
B. 223333.333333333333 meters/second
C. 223333.3 meters/second
D. 200000 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.02 meters measures a distance of 27.66 meters and a measuring stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.05 meters. You multiply the values with a calculator app and get the output 1.383000000000. If we round this output to the appropriate level of precision, what is the answer?
A. 1.38 meters^2
B. 1.4 meters^2
C. 1 meters^2
D. 1.383000000000 meters^2
Answer:


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

A chronograph with a precision of +/- 0.1 seconds measures a duration of 2.0 seconds and a chronometer with a precision of +/- 0.00003 seconds reads 0.00007 seconds when measuring a duration of a different event. After dividing the former value by the latter your computer gives the solution 28571.428571428571. How would this result look if we rounded it with the correct number of significant digits?
A. 28571.428571428571
B. 28571.4
C. 30000
Answer:


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

A measuring tape with a precision of +/- 0.2 meters measures a distance of 0.1 meters and an odometer with a precision of +/- 4000 meters measures a distance between two different points as 5000 meters. You multiply the two values with a computer and get the output 500.000000000000. Express this output using the right level of precision.
A. 500.0 meters^2
B. 500.000000000000 meters^2
C. 500 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 6.819 meters, and a radar-based method with a precision of +/- 100 meters reads 700 meters when measuring a distance between two different points. You multiply the first value by the second value with a computer and get the solution 4773.300000000000. When this solution is written to the suitable number of significant digits, what do we get?
A. 5000 meters^2
B. 4773.3 meters^2
C. 4773.300000000000 meters^2
D. 4700 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0001 grams takes a measurement of 0.0025 grams, and a measuring tape with a precision of +/- 0.2 meters reads 609.2 meters when measuring a distance. Using a calculator app, you multiply the former value by the latter and get the output 1.523000000000. When this output is rounded to the proper number of significant digits, what do we get?
A. 1.52 gram-meters
B. 1.5 gram-meters
C. 1.523000000000 gram-meters
Answer:


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

A stadimeter with a precision of +/- 0.2 meters measures a distance of 55.9 meters and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.002 liters. Your calculator yields the output 27950.000000000000 when dividing the former number by the latter. When this output is reported to the proper level of precision, what do we get?
A. 27950.000000000000 meters/liter
B. 30000 meters/liter
C. 27950.0 meters/liter
Answer:


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

A tape measure with a precision of +/- 0.003 meters takes a measurement of 0.009 meters, and a hydraulic scale with a precision of +/- 3000 grams reads 696000 grams when measuring a mass. After multiplying the values your calculator app gets the solution 6264.000000000000. When this solution is rounded to the correct level of precision, what do we get?
A. 6264.0 gram-meters
B. 6000 gram-meters
C. 6264.000000000000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0004 meters measures a distance of 0.3391 meters and a balance with a precision of +/- 1 grams measures a mass as 2944 grams. Your computer yields the solution 0.000115183424 when dividing the two values. How would this result look if we rounded it with the appropriate level of precision?
A. 0.000115183424 meters/gram
B. 0.0001 meters/gram
C. 0.0001152 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.4 seconds measures a duration of 11.8 seconds and a radar-based method with a precision of +/- 1 meters reads 120 meters when measuring a distance. You multiply the first value by the second value with a computer and get the output 1416.000000000000. If we express this output to the proper level of precision, what is the answer?
A. 1416.000000000000 meter-seconds
B. 1420 meter-seconds
C. 1416.000 meter-seconds
D. 1416 meter-seconds
Answer:


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

A ruler with a precision of +/- 0.4 meters takes a measurement of 0.6 meters, and a spring scale with a precision of +/- 0.01 grams measures a mass as 46.79 grams. Your calculator app gives the output 28.074000000000 when multiplying the first number by the second number. How would this result look if we rounded it with the right level of precision?
A. 28.074000000000 gram-meters
B. 28.1 gram-meters
C. 30 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 seconds takes a measurement of 77.85 seconds, and a stadimeter with a precision of +/- 3 meters reads 43 meters when measuring a distance. Your calculator produces the solution 1.810465116279 when dividing the first number by the second number. How would this answer look if we reported it with the correct level of precision?
A. 1.81 seconds/meter
B. 1 seconds/meter
C. 1.8 seconds/meter
D. 1.810465116279 seconds/meter
Answer:


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

A timer with a precision of +/- 0.1 seconds takes a measurement of 0.8 seconds, and a measuring flask with a precision of +/- 0.002 liters measures a volume as 0.056 liters. After dividing the former number by the latter your computer produces the solution 14.285714285714. Using the right number of significant digits, what is the result?
A. 14.285714285714 seconds/liter
B. 14.3 seconds/liter
C. 10 seconds/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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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A measuring tape with a precision of +/- 0.03 meters measures a distance of 2.60 meters and a spring scale with a precision of +/- 4 grams measures a mass as 13 grams. Using a calculator, you multiply the former number by the latter and get the solution 33.800000000000. Report this solution using the correct number of significant digits.
A. 33.800000000000 gram-meters
B. 33.80 gram-meters
C. 34 gram-meters
D. 33 gram-meters
Answer: