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 +/- 0.003 grams takes a measurement of 5.421 grams, and a caliper with a precision of +/- 0.003 meters reads 0.084 meters when measuring a distance. After multiplying the numbers your calculator gets the solution 0.455364000000. How can we express this solution to the proper number of significant digits?
A. 0.46 gram-meters
B. 0.455364000000 gram-meters
C. 0.455 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 tape measure with a precision of +/- 0.0002 meters takes a measurement of 0.0708 meters, and a measuring rod with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0009 meters. After dividing the first number by the second number your calculator app yields the output 78.666666666667. How would this result look if we rounded it with the suitable level of precision?
A. 78.7
B. 78.6667
C. 80
D. 78.666666666667
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 +/- 0.2 seconds takes a measurement of 85.5 seconds, and a tape measure with a precision of +/- 0.003 meters measures a distance as 2.969 meters. Your calculator app produces the output 253.849500000000 when multiplying the former value by the latter. If we report this output to the correct number of significant digits, what is the result?
A. 253.8 meter-seconds
B. 254 meter-seconds
C. 253.849500000000 meter-seconds
D. 253.850 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 +/- 300 meters measures a distance of 500 meters and a stadimeter with a precision of +/- 100 meters reads 200 meters when measuring a distance between two different points. Using a calculator app, you divide the former number by the latter and get the output 2.500000000000. Using the proper level of precision, what is the result?
A. 2.5
B. 2
C. 2.500000000000
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 8.2 meters, and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 1.421 meters. Using a calculator, you divide the former value by the latter and get the solution 5.770584095707. When this solution is expressed to the proper number of significant digits, what do we get?
A. 5.77
B. 5.8
C. 5.770584095707
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 +/- 0.002 liters measures a volume of 0.012 liters and an odometer with a precision of +/- 400 meters reads 361400 meters when measuring a distance. After multiplying the numbers your calculator produces the solution 4336.800000000000. How would this result look if we expressed it with the suitable number of significant digits?
A. 4300 liter-meters
B. 4336.80 liter-meters
C. 4336.800000000000 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 chronograph with a precision of +/- 0.3 seconds measures a duration of 8.9 seconds and a spring scale with a precision of +/- 0.2 grams reads 459.6 grams when measuring a mass. Using a calculator, you divide the two numbers and get the output 0.019364664926. If we express this output to the appropriate level of precision, what is the answer?
A. 0.019364664926 seconds/gram
B. 0.02 seconds/gram
C. 0.019 seconds/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 storage container with a precision of +/- 3 liters measures a volume of 100 liters and a chronometer with a precision of +/- 0.00003 seconds measures a duration as 0.00090 seconds. After dividing the two numbers your calculator gives the solution 111111.111111111111. How would this result look if we rounded it with the appropriate level of precision?
A. 111111 liters/second
B. 111111.11 liters/second
C. 111111.111111111111 liters/second
D. 110000 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).
---

An opisometer with a precision of +/- 0.2 meters takes a measurement of 20.9 meters, and a Biltmore stick with a precision of +/- 0.2 meters measures a distance between two different points as 294.6 meters. You divide the first value by the second value with a calculator app and get the solution 0.070943652410. How would this result look if we rounded it with the appropriate level of precision?
A. 0.0709
B. 0.1
C. 0.071
D. 0.070943652410
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 +/- 0.004 seconds takes a measurement of 0.541 seconds, and an analytical balance with a precision of +/- 20 grams reads 7200 grams when measuring a mass. Your computer produces the output 3895.200000000000 when multiplying the former number by the latter. Using the proper level of precision, what is the answer?
A. 3890 gram-seconds
B. 3895.200 gram-seconds
C. 3900 gram-seconds
D. 3895.200000000000 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 meter stick with a precision of +/- 0.0004 meters measures a distance of 0.0056 meters and a cathetometer with a precision of +/- 0.0001 meters reads 0.0316 meters when measuring a distance between two different points. You divide the two values with a calculator and get the output 0.177215189873. If we express this output to the right number of significant digits, what is the answer?
A. 0.1772
B. 0.18
C. 0.177215189873
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 +/- 3 grams measures a mass of 2987 grams and an analytical balance with a precision of +/- 200 grams reads 727100 grams when measuring a mass of a different object. You multiply the two values with a computer and get the solution 2171847700.000000000000. If we write this solution correctly with respect to the number of significant digits, what is the result?
A. 2171847700.000000000000 grams^2
B. 2171847700.0000 grams^2
C. 2172000000 grams^2
D. 2171847700 grams^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 +/- 3000 meters takes a measurement of 4006000 meters, and an odometer with a precision of +/- 200 meters measures a distance between two different points as 91000 meters. Your calculator app gets the output 44.021978021978 when dividing the former value by the latter. When this output is rounded to the right level of precision, what do we get?
A. 44.0
B. 44.022
C. 44.021978021978
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 +/- 0.0002 meters takes a measurement of 0.6331 meters, and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.079 liters. You multiply the two values with a calculator app and get the output 0.050014900000. When this output is reported to the correct level of precision, what do we get?
A. 0.050014900000 liter-meters
B. 0.05 liter-meters
C. 0.050 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 tape measure with a precision of +/- 0.0003 meters measures a distance of 0.0006 meters and a spring scale with a precision of +/- 0.0001 grams reads 0.0726 grams when measuring a mass. After dividing the two numbers your calculator app produces the solution 0.008264462810. How would this answer look if we reported it with the proper number of significant digits?
A. 0.008264462810 meters/gram
B. 0.0083 meters/gram
C. 0.008 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 graduated cylinder with a precision of +/- 0.003 liters measures a volume of 0.003 liters and a measuring rod with a precision of +/- 0.003 meters measures a distance as 0.257 meters. After multiplying the numbers your computer produces the solution 0.000771000000. How can we write this solution to the suitable level of precision?
A. 0.000771000000 liter-meters
B. 0.001 liter-meters
C. 0.0008 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 stopwatch with a precision of +/- 0.4 seconds takes a measurement of 901.7 seconds, and a timer with a precision of +/- 0.001 seconds measures a duration of a different event as 0.116 seconds. Using a calculator, you multiply the former value by the latter and get the solution 104.597200000000. If we express this solution suitably with respect to the number of significant digits, what is the answer?
A. 104.597 seconds^2
B. 104.597200000000 seconds^2
C. 105 seconds^2
D. 104.6 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 measuring tape with a precision of +/- 0.4 meters measures a distance of 780.3 meters and a chronograph with a precision of +/- 0.001 seconds measures a duration as 0.052 seconds. Using a computer, you multiply the numbers and get the solution 40.575600000000. How would this result look if we rounded it with the correct number of significant digits?
A. 41 meter-seconds
B. 40.6 meter-seconds
C. 40.575600000000 meter-seconds
D. 40.58 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 +/- 0.2 meters takes a measurement of 0.5 meters, and a stopwatch with a precision of +/- 0.001 seconds measures a duration as 8.022 seconds. Using a calculator app, you divide the first value by the second value and get the solution 0.062328596360. How would this answer look if we rounded it with the proper number of significant digits?
A. 0.1 meters/second
B. 0.06 meters/second
C. 0.062328596360 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).
---

An opisometer with a precision of +/- 0.004 meters takes a measurement of 0.045 meters, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.090 liters. Your calculator gets the output 0.004050000000 when multiplying the first value by the second value. When this output is expressed to the right number of significant digits, what do we get?
A. 0.004 liter-meters
B. 0.004050000000 liter-meters
C. 0.0040 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 measuring stick with a precision of +/- 0.003 meters takes a measurement of 9.624 meters, and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 2.88 meters. Using a calculator, you multiply the first number by the second number and get the output 27.717120000000. When this output is written to the appropriate number of significant digits, what do we get?
A. 27.72 meters^2
B. 27.717120000000 meters^2
C. 27.7 meters^2
D. 27.717 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 +/- 30 grams measures a mass of 44750 grams and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0352 seconds. Your calculator produces the solution 1271306.818181818182 when dividing the first value by the second value. How can we report this solution to the right number of significant digits?
A. 1270000 grams/second
B. 1271306.818181818182 grams/second
C. 1271306.818 grams/second
D. 1271300 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 stopwatch with a precision of +/- 0.2 seconds takes a measurement of 5.2 seconds, and a clickwheel with a precision of +/- 0.01 meters measures a distance as 89.77 meters. Your calculator app yields the solution 466.804000000000 when multiplying the first number by the second number. How would this answer look if we reported it with the proper level of precision?
A. 466.80 meter-seconds
B. 466.8 meter-seconds
C. 470 meter-seconds
D. 466.804000000000 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 +/- 0.1 meters measures a distance of 172.7 meters and a caliper with a precision of +/- 0.01 meters reads 0.11 meters when measuring a distance between two different points. After dividing the numbers your calculator app gives the solution 1570.000000000000. How would this result look if we reported it with the right level of precision?
A. 1570.00
B. 1600
C. 1570.0
D. 1570.000000000000
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 +/- 1000 meters measures a distance of 408000 meters and a storage container with a precision of +/- 0.4 liters reads 8.6 liters when measuring a volume. Using a calculator app, you multiply the numbers and get the solution 3508800.000000000000. How would this result look if we wrote it with the proper number of significant digits?
A. 3508000 liter-meters
B. 3508800.000000000000 liter-meters
C. 3500000 liter-meters
D. 3508800.00 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 spring scale with a precision of +/- 400 grams measures a mass of 800 grams and a caliper with a precision of +/- 0.02 meters measures a distance as 2.12 meters. Using a calculator app, you multiply the former value by the latter and get the output 1696.000000000000. When this output is rounded to the proper number of significant digits, what do we get?
A. 1696.000000000000 gram-meters
B. 1696.0 gram-meters
C. 1600 gram-meters
D. 2000 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 2.183 liters, and a rangefinder with a precision of +/- 0.003 meters reads 0.008 meters when measuring a distance. After dividing the first value by the second value your computer gets the solution 272.875000000000. How can we express this solution to the correct level of precision?
A. 272.875 liters/meter
B. 272.9 liters/meter
C. 300 liters/meter
D. 272.875000000000 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 +/- 40 liters measures a volume of 650 liters and a balance with a precision of +/- 400 grams measures a mass as 685000 grams. Using a calculator app, you multiply the first number by the second number and get the solution 445250000.000000000000. If we write this solution to the correct number of significant digits, what is the answer?
A. 445250000.000000000000 gram-liters
B. 445250000.00 gram-liters
C. 445250000 gram-liters
D. 450000000 gram-liters
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 +/- 1 liters takes a measurement of 84 liters, and a storage container with a precision of +/- 2 liters reads 3813 liters when measuring a volume of a different quantity of liquid. Your computer produces the solution 0.022029897718 when dividing the first value by the second value. If we report this solution to the suitable number of significant digits, what is the answer?
A. 0.022
B. 0.022029897718
C. 0.02
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 +/- 0.4 grams takes a measurement of 271.6 grams, and an analytical balance with a precision of +/- 0.002 grams reads 0.006 grams when measuring a mass of a different object. Your computer gives the output 45266.666666666667 when dividing the values. Report this output using the appropriate number of significant digits.
A. 45266.666666666667
B. 45266.7
C. 50000
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 3.667 liters and a chronograph with a precision of +/- 0.01 seconds reads 0.03 seconds when measuring a duration. Using a calculator app, you divide the two values and get the solution 122.233333333333. Using the appropriate number of significant digits, what is the answer?
A. 122.2 liters/second
B. 100 liters/second
C. 122.23 liters/second
D. 122.233333333333 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 tape measure with a precision of +/- 0.001 meters measures a distance of 0.995 meters and a measuring stick with a precision of +/- 0.003 meters measures a distance between two different points as 0.038 meters. Your computer gives the output 0.037810000000 when multiplying the former number by the latter. If we express this output to the right number of significant digits, what is the result?
A. 0.038 meters^2
B. 0.037810000000 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 +/- 0.2 meters takes a measurement of 2.7 meters, and a balance with a precision of +/- 10 grams measures a mass as 530 grams. After multiplying the first value by the second value your calculator app gives the solution 1431.000000000000. How can we express this solution to the proper number of significant digits?
A. 1400 gram-meters
B. 1430 gram-meters
C. 1431.00 gram-meters
D. 1431.000000000000 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 caliper with a precision of +/- 0.002 meters takes a measurement of 0.098 meters, and a storage container with a precision of +/- 20 liters measures a volume as 680 liters. Using a computer, you multiply the values and get the solution 66.640000000000. Round this solution using the suitable level of precision.
A. 60 liter-meters
B. 66.640000000000 liter-meters
C. 67 liter-meters
D. 66.64 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).
---

An opisometer with a precision of +/- 4 meters measures a distance of 5167 meters and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.5473 meters. You multiply the two numbers with a calculator app and get the output 2827.899100000000. Report this output using the right number of significant digits.
A. 2827.8991 meters^2
B. 2827.899100000000 meters^2
C. 2828 meters^2
D. 2827 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 +/- 0.4 meters takes a measurement of 3.6 meters, and a hydraulic scale with a precision of +/- 100 grams measures a mass as 86700 grams. Your calculator yields the output 312120.000000000000 when multiplying the former value by the latter. If we write this output appropriately with respect to the number of significant digits, what is the result?
A. 312120.000000000000 gram-meters
B. 310000 gram-meters
C. 312100 gram-meters
D. 312120.00 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 storage container with a precision of +/- 10 liters takes a measurement of 4380 liters, and a stopwatch with a precision of +/- 0.4 seconds reads 0.1 seconds when measuring a duration. You multiply the two numbers with a calculator app and get the output 438.000000000000. When this output is reported to the appropriate level of precision, what do we get?
A. 438.0 liter-seconds
B. 430 liter-seconds
C. 400 liter-seconds
D. 438.000000000000 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 flask with a precision of +/- 0.004 liters measures a volume of 2.849 liters and a chronometer with a precision of +/- 0.0001 seconds reads 0.0026 seconds when measuring a duration. After multiplying the former value by the latter your calculator produces the solution 0.007407400000. How can we report this solution to the correct level of precision?
A. 0.007407400000 liter-seconds
B. 0.007 liter-seconds
C. 0.01 liter-seconds
D. 0.0074 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 spring scale with a precision of +/- 1 grams takes a measurement of 7279 grams, and a timer with a precision of +/- 0.4 seconds reads 9.3 seconds when measuring a duration. Your calculator produces the solution 782.688172043011 when dividing the first number by the second number. How can we round this solution to the right level of precision?
A. 780 grams/second
B. 782.69 grams/second
C. 782.688172043011 grams/second
D. 782 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).
---

An odometer with a precision of +/- 300 meters measures a distance of 500 meters and a cathetometer with a precision of +/- 0.00004 meters measures a distance between two different points as 0.00007 meters. You divide the former value by the latter with a computer and get the solution 7142857.142857142857. Using the suitable level of precision, what is the answer?
A. 7142857.142857142857
B. 7142857.1
C. 7000000
D. 7142800
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 measures a duration of 0.5532 seconds and a timer with a precision of +/- 0.3 seconds reads 0.4 seconds when measuring a duration of a different event. Your calculator gives the output 1.383000000000 when dividing the values. How would this answer look if we wrote it with the correct number of significant digits?
A. 1
B. 1.4
C. 1.383000000000
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 +/- 0.03 grams takes a measurement of 6.61 grams, and a measuring stick with a precision of +/- 0.04 meters measures a distance as 0.05 meters. Using a calculator app, you multiply the first value by the second value and get the output 0.330500000000. Using the appropriate level of precision, what is the answer?
A. 0.3 gram-meters
B. 0.330500000000 gram-meters
C. 0.33 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 +/- 3000 grams takes a measurement of 5368000 grams, and a tape measure with a precision of +/- 0.0002 meters measures a distance as 0.0006 meters. Using a calculator app, you divide the first number by the second number and get the output 8946666666.666666666667. When this output is reported to the right number of significant digits, what do we get?
A. 8946666666.7 grams/meter
B. 8946666000 grams/meter
C. 8946666666.666666666667 grams/meter
D. 9000000000 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).
---

A spring scale with a precision of +/- 1 grams measures a mass of 1859 grams and a coincidence telemeter with a precision of +/- 4 meters reads 34 meters when measuring a distance. After multiplying the numbers your calculator gives the solution 63206.000000000000. Using the suitable level of precision, what is the result?
A. 63206.000000000000 gram-meters
B. 63000 gram-meters
C. 63206.00 gram-meters
D. 63206 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 tape measure with a precision of +/- 0.0003 meters takes a measurement of 0.0006 meters, and a caliper with a precision of +/- 0.003 meters reads 1.169 meters when measuring a distance between two different points. You divide the values with a computer and get the solution 0.000513259196. When this solution is written to the suitable number of significant digits, what do we get?
A. 0.001
B. 0.000513259196
C. 0.0005
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 +/- 0.1 meters takes a measurement of 348.3 meters, and a hydraulic scale with a precision of +/- 0.0001 grams reads 0.0152 grams when measuring a mass. Your calculator app gives the output 5.294160000000 when multiplying the numbers. If we express this output to the right number of significant digits, what is the result?
A. 5.29 gram-meters
B. 5.294160000000 gram-meters
C. 5.3 gram-meters
D. 5.294 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 coincidence telemeter with a precision of +/- 0.3 meters takes a measurement of 3.8 meters, and a Biltmore stick with a precision of +/- 0.3 meters reads 398.7 meters when measuring a distance between two different points. Your computer yields the output 1515.060000000000 when multiplying the values. Report this output using the suitable level of precision.
A. 1500 meters^2
B. 1515.1 meters^2
C. 1515.060000000000 meters^2
D. 1515.06 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 measures a volume of 238 liters and a measuring rod with a precision of +/- 0.0003 meters reads 0.9736 meters when measuring a distance. Using a calculator app, you multiply the two numbers and get the output 231.716800000000. Using the proper number of significant digits, what is the answer?
A. 231.717 liter-meters
B. 231 liter-meters
C. 231.716800000000 liter-meters
D. 232 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 chronograph with a precision of +/- 0.03 seconds takes a measurement of 30.09 seconds, and a rangefinder with a precision of +/- 0.003 meters measures a distance as 0.980 meters. Your calculator gives the solution 29.488200000000 when multiplying the former number by the latter. Write this solution using the right number of significant digits.
A. 29.488200000000 meter-seconds
B. 29.5 meter-seconds
C. 29.49 meter-seconds
D. 29.488 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 storage container with a precision of +/- 0.2 liters measures a volume of 3.5 liters and a measuring stick with a precision of +/- 0.03 meters measures a distance as 0.52 meters. After multiplying the two numbers your calculator yields the solution 1.820000000000. Using the proper number of significant digits, what is the result?
A. 1.820000000000 liter-meters
B. 1.8 liter-meters
C. 1.82 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 1.130 liters, and a timer with a precision of +/- 0.3 seconds reads 36.8 seconds when measuring a duration. Your calculator app yields the solution 0.030706521739 when dividing the two values. If we write this solution suitably with respect to the number of significant digits, what is the result?
A. 0.030706521739 liters/second
B. 0.0307 liters/second
C. 0.031 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 rangefinder with a precision of +/- 0.02 meters measures a distance of 86.99 meters and a storage container with a precision of +/- 30 liters reads 30 liters when measuring a volume. Using a computer, you divide the former value by the latter and get the solution 2.899666666667. If we express this solution suitably with respect to the level of precision, what is the answer?
A. 2.9 meters/liter
B. 2.899666666667 meters/liter
C. 3 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).
---

An odometer with a precision of +/- 4000 meters takes a measurement of 3000 meters, and a measuring stick with a precision of +/- 0.02 meters reads 0.46 meters when measuring a distance between two different points. Using a computer, you divide the first number by the second number and get the output 6521.739130434783. Using the appropriate number of significant digits, what is the result?
A. 6521.739130434783
B. 7000
C. 6521.7
D. 6000
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 measures a volume of 0.02 liters and a rangefinder with a precision of +/- 0.01 meters reads 0.07 meters when measuring a distance. Using a computer, you divide the values and get the solution 0.285714285714. Round this solution using the correct level of precision.
A. 0.285714285714 liters/meter
B. 0.3 liters/meter
C. 0.29 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 stadimeter with a precision of +/- 0.3 meters takes a measurement of 84.2 meters, and a stopwatch with a precision of +/- 0.1 seconds reads 3.9 seconds when measuring a duration. Your computer yields the output 21.589743589744 when dividing the first value by the second value. Round this output using the proper number of significant digits.
A. 21.59 meters/second
B. 21.589743589744 meters/second
C. 22 meters/second
D. 21.6 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 stadimeter with a precision of +/- 400 meters takes a measurement of 4100 meters, and a rangefinder with a precision of +/- 0.002 meters measures a distance between two different points as 0.003 meters. Your calculator gets the solution 1366666.666666666667 when dividing the two values. If we express this solution appropriately with respect to the number of significant digits, what is the result?
A. 1000000
B. 1366666.7
C. 1366666.666666666667
D. 1366600
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 +/- 0.1 grams takes a measurement of 0.9 grams, and a Biltmore stick with a precision of +/- 0.4 meters measures a distance as 498.3 meters. After multiplying the two values your calculator gets the output 448.470000000000. Round this output using the appropriate number of significant digits.
A. 400 gram-meters
B. 448.470000000000 gram-meters
C. 448.5 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 caliper with a precision of +/- 0.01 meters takes a measurement of 0.09 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0008 meters when measuring a distance between two different points. After dividing the two numbers your calculator app gives the solution 112.500000000000. If we write this solution suitably with respect to the number of significant digits, what is the answer?
A. 100
B. 112.50
C. 112.500000000000
D. 112.5
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 measures a distance of 28.52 meters and a stopwatch with a precision of +/- 0.002 seconds reads 0.376 seconds when measuring a duration. Using a calculator, you divide the first value by the second value and get the solution 75.851063829787. Using the correct level of precision, what is the answer?
A. 75.851 meters/second
B. 75.85 meters/second
C. 75.9 meters/second
D. 75.851063829787 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 meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0089 meters, and a measuring flask with a precision of +/- 0.003 liters reads 0.002 liters when measuring a volume. You divide the first value by the second value with a calculator and get the output 4.450000000000. Round this output using the right number of significant digits.
A. 4.4 meters/liter
B. 4 meters/liter
C. 4.450000000000 meters/liter
D. 4.450 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 caliper with a precision of +/- 0.002 meters takes a measurement of 0.846 meters, and a coincidence telemeter with a precision of +/- 10 meters measures a distance between two different points as 40 meters. You multiply the numbers with a calculator and get the solution 33.840000000000. How would this result look if we expressed it with the right number of significant digits?
A. 30 meters^2
B. 33.8 meters^2
C. 33.840000000000 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 +/- 0.02 meters measures a distance of 67.16 meters and a timer with a precision of +/- 0.004 seconds reads 0.955 seconds when measuring a duration. Your computer gets the solution 64.137800000000 when multiplying the two values. How can we round this solution to the suitable number of significant digits?
A. 64.1 meter-seconds
B. 64.138 meter-seconds
C. 64.14 meter-seconds
D. 64.137800000000 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 hydraulic scale with a precision of +/- 40 grams measures a mass of 96040 grams and a tape measure with a precision of +/- 0.004 meters reads 0.012 meters when measuring a distance. After dividing the values your computer gives the output 8003333.333333333333. If we express this output to the suitable number of significant digits, what is the result?
A. 8003333.33 grams/meter
B. 8003333.333333333333 grams/meter
C. 8003330 grams/meter
D. 8000000 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).
---

A measuring stick with a precision of +/- 0.002 meters takes a measurement of 0.013 meters, and a clickwheel with a precision of +/- 0.004 meters measures a distance between two different points as 0.019 meters. Your calculator produces the output 0.684210526316 when dividing the first value by the second value. Express this output using the suitable number of significant digits.
A. 0.684
B. 0.684210526316
C. 0.68
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 takes a measurement of 0.970 liters, and a chronograph with a precision of +/- 0.01 seconds measures a duration as 0.19 seconds. You divide the former number by the latter with a calculator and get the output 5.105263157895. If we round this output appropriately with respect to the level of precision, what is the answer?
A. 5.11 liters/second
B. 5.1 liters/second
C. 5.105263157895 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 stadimeter with a precision of +/- 0.2 meters takes a measurement of 450.6 meters, and a measuring stick with a precision of +/- 0.2 meters reads 0.4 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator app yields the output 1126.500000000000. Using the correct number of significant digits, what is the result?
A. 1000
B. 1126.500000000000
C. 1126.5
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 1.8 meters, and a timer with a precision of +/- 0.4 seconds reads 83.8 seconds when measuring a duration. Your computer yields the solution 0.021479713604 when dividing the former value by the latter. If we express this solution to the right level of precision, what is the result?
A. 0.021479713604 meters/second
B. 0.021 meters/second
C. 0.02 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 clickwheel with a precision of +/- 0.03 meters measures a distance of 0.89 meters and a graduated cylinder with a precision of +/- 0.003 liters reads 0.467 liters when measuring a volume. You divide the two values with a computer and get the output 1.905781584582. How would this answer look if we wrote it with the proper number of significant digits?
A. 1.9 meters/liter
B. 1.91 meters/liter
C. 1.905781584582 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 stopwatch with a precision of +/- 0.002 seconds measures a duration of 8.307 seconds and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.003 liters. After dividing the first value by the second value your calculator app produces the solution 2769.000000000000. If we express this solution to the suitable level of precision, what is the answer?
A. 3000 seconds/liter
B. 2769.000000000000 seconds/liter
C. 2769.0 seconds/liter
D. 2769.000 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).
---

A radar-based method with a precision of +/- 30 meters takes a measurement of 10 meters, and a hydraulic scale with a precision of +/- 0.04 grams reads 0.05 grams when measuring a mass. Using a computer, you divide the two numbers and get the solution 200.000000000000. How can we express this solution to the suitable level of precision?
A. 200.0 meters/gram
B. 200 meters/gram
C. 200.000000000000 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 coincidence telemeter with a precision of +/- 100 meters takes a measurement of 939000 meters, and an analytical balance with a precision of +/- 30 grams measures a mass as 80 grams. Your computer produces the solution 75120000.000000000000 when multiplying the two numbers. Report this solution using the appropriate number of significant digits.
A. 75120000.0 gram-meters
B. 75120000.000000000000 gram-meters
C. 80000000 gram-meters
D. 75120000 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 balance with a precision of +/- 40 grams measures a mass of 10 grams and a caliper with a precision of +/- 0.001 meters measures a distance as 4.720 meters. You multiply the first number by the second number with a calculator and get the solution 47.200000000000. If we report this solution appropriately with respect to the number of significant digits, what is the answer?
A. 47.200000000000 gram-meters
B. 40 gram-meters
C. 50 gram-meters
D. 47.2 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 +/- 0.03 meters measures a distance of 72.51 meters and a radar-based method with a precision of +/- 10 meters measures a distance between two different points as 750 meters. Your calculator app yields the output 0.096680000000 when dividing the two values. Write this output using the correct level of precision.
A. 0.10
B. 0.096680000000
C. 0.097
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 +/- 0.3 meters takes a measurement of 15.8 meters, and a chronometer with a precision of +/- 0.00001 seconds reads 0.00006 seconds when measuring a duration. After dividing the values your computer gets the output 263333.333333333333. Express this output using the correct level of precision.
A. 300000 meters/second
B. 263333.333333333333 meters/second
C. 263333.3 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 +/- 0.3 meters takes a measurement of 6.5 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.5815 meters when measuring a distance between two different points. After dividing the first value by the second value your calculator app produces the output 11.177987962167. When this output is reported to the suitable number of significant digits, what do we get?
A. 11
B. 11.177987962167
C. 11.2
D. 11.18
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 hydraulic scale with a precision of +/- 3 grams measures a mass of 3 grams and a timer with a precision of +/- 0.04 seconds measures a duration as 0.06 seconds. You divide the two values with a computer and get the output 50.000000000000. If we round this output to the suitable level of precision, what is the result?
A. 50 grams/second
B. 50.0 grams/second
C. 50.000000000000 grams/second
Answer: