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 +/- 1 meters takes a measurement of 487 meters, and a cathetometer with a precision of +/- 0.00001 meters reads 0.09472 meters when measuring a distance between two different points. After dividing the two values your computer gets the solution 5141.469594594595. Express this solution using the suitable number of significant digits.
A. 5140
B. 5141
C. 5141.470
D. 5141.469594594595
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 +/- 0.0003 meters takes a measurement of 0.0790 meters, and a clickwheel with a precision of +/- 0.001 meters reads 0.976 meters when measuring a distance between two different points. After dividing the two numbers your computer yields the output 0.080942622951. How can we express this output to the suitable level of precision?
A. 0.081
B. 0.080942622951
C. 0.0809
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 +/- 0.01 meters measures a distance of 57.35 meters and a caliper with a precision of +/- 0.02 meters measures a distance between two different points as 27.81 meters. Your calculator app gets the output 2.062207838907 when dividing the first value by the second value. If we report this output properly with respect to the level of precision, what is the result?
A. 2.062207838907
B. 2.06
C. 2.0622
D. 2.062
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 65700 meters and a rangefinder with a precision of +/- 30 meters reads 9200 meters when measuring a distance between two different points. Using a calculator, you multiply the two numbers and get the output 604440000.000000000000. Round this output using the right level of precision.
A. 604000000 meters^2
B. 604440000.000 meters^2
C. 604440000 meters^2
D. 604440000.000000000000 meters^2
Answer:


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

A measuring rod with a precision of +/- 0.0001 meters takes a measurement of 0.5276 meters, and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0891 seconds. After dividing the first number by the second number your calculator gives the solution 5.921436588103. How can we round this solution to the suitable number of significant digits?
A. 5.921 meters/second
B. 5.921436588103 meters/second
C. 5.92 meters/second
D. 5.9214 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 spring scale with a precision of +/- 20 grams measures a mass of 520 grams and a ruler with a precision of +/- 0.002 meters measures a distance as 0.220 meters. You divide the first number by the second number with a calculator app and get the solution 2363.636363636364. Using the proper level of precision, what is the result?
A. 2360 grams/meter
B. 2363.636363636364 grams/meter
C. 2363.64 grams/meter
D. 2400 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 radar-based method with a precision of +/- 3 meters measures a distance of 39 meters and a coincidence telemeter with a precision of +/- 10 meters reads 100 meters when measuring a distance between two different points. You multiply the former number by the latter with a calculator app and get the output 3900.000000000000. If we report this output to the appropriate level of precision, what is the result?
A. 3900 meters^2
B. 3900.000000000000 meters^2
C. 3900.00 meters^2
Answer:


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

A ruler with a precision of +/- 0.2 meters measures a distance of 0.1 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0048 meters. After dividing the two values your computer gets the output 20.833333333333. If we express this output to the proper number of significant digits, what is the result?
A. 20.833333333333
B. 20
C. 20.8
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 +/- 30 meters measures a distance of 58180 meters and a storage container with a precision of +/- 0.2 liters reads 716.8 liters when measuring a volume. Using a computer, you divide the first number by the second number and get the output 81.166294642857. How can we write this output to the correct number of significant digits?
A. 81.17 meters/liter
B. 81.1663 meters/liter
C. 80 meters/liter
D. 81.166294642857 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 biltmore stick with a precision of +/- 0.02 meters takes a measurement of 5.13 meters, and a measuring stick with a precision of +/- 0.04 meters reads 0.35 meters when measuring a distance between two different points. Your computer gives the solution 1.795500000000 when multiplying the two values. How can we round this solution to the right level of precision?
A. 1.80 meters^2
B. 1.795500000000 meters^2
C. 1.8 meters^2
Answer:


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

A stopwatch with a precision of +/- 0.2 seconds measures a duration of 1.7 seconds and a tape measure with a precision of +/- 0.002 meters reads 0.815 meters when measuring a distance. Using a calculator, you divide the values and get the solution 2.085889570552. When this solution is written to the right level of precision, what do we get?
A. 2.09 seconds/meter
B. 2.1 seconds/meter
C. 2.085889570552 seconds/meter
Answer:


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

A measuring rod with a precision of +/- 0.0002 meters takes a measurement of 0.8503 meters, and a rangefinder with a precision of +/- 40 meters reads 20 meters when measuring a distance between two different points. Your computer yields the output 17.006000000000 when multiplying the values. Using the correct level of precision, what is the answer?
A. 10 meters^2
B. 17.006000000000 meters^2
C. 17.0 meters^2
D. 20 meters^2
Answer:


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

A caliper with a precision of +/- 0.003 meters takes a measurement of 8.956 meters, and a stadimeter with a precision of +/- 1 meters reads 624 meters when measuring a distance between two different points. You multiply the numbers with a calculator app and get the solution 5588.544000000000. If we report this solution suitably with respect to the level of precision, what is the answer?
A. 5588.544 meters^2
B. 5590 meters^2
C. 5588.544000000000 meters^2
D. 5588 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 spring scale with a precision of +/- 0.0004 grams takes a measurement of 0.0680 grams, and a caliper with a precision of +/- 0.003 meters measures a distance as 0.995 meters. Your computer gets the output 0.068341708543 when dividing the former value by the latter. How would this answer look if we reported it with the right level of precision?
A. 0.0683 grams/meter
B. 0.068341708543 grams/meter
C. 0.068 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 +/- 40 grams measures a mass of 4010 grams and a measuring flask with a precision of +/- 0.002 liters reads 0.003 liters when measuring a volume. Your calculator produces the output 1336666.666666666667 when dividing the former value by the latter. If we report this output appropriately with respect to the level of precision, what is the answer?
A. 1336666.666666666667 grams/liter
B. 1336666.7 grams/liter
C. 1336660 grams/liter
D. 1000000 grams/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 measuring rod with a precision of +/- 0.0003 meters measures a distance of 0.3325 meters and a caliper with a precision of +/- 0.03 meters measures a distance between two different points as 7.93 meters. Your calculator gets the solution 0.041929382093 when dividing the first number by the second number. How can we round this solution to the correct level of precision?
A. 0.04
B. 0.042
C. 0.041929382093
D. 0.0419
Answer:


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

A ruler with a precision of +/- 0.004 meters measures a distance of 0.394 meters and an opisometer with a precision of +/- 0.0002 meters reads 0.0040 meters when measuring a distance between two different points. You divide the values with a calculator and get the solution 98.500000000000. If we write this solution to the appropriate level of precision, what is the answer?
A. 98.500000000000
B. 98
C. 98.50
D. 98.500
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 +/- 0.1 grams takes a measurement of 57.7 grams, and a clickwheel with a precision of +/- 0.02 meters reads 4.87 meters when measuring a distance. Your calculator app produces the solution 280.999000000000 when multiplying the first number by the second number. How can we round this solution to the correct number of significant digits?
A. 280.999 gram-meters
B. 281 gram-meters
C. 281.0 gram-meters
D. 280.999000000000 gram-meters
Answer:


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

A meter stick with a precision of +/- 0.0001 meters measures a distance of 0.0082 meters and a chronograph with a precision of +/- 0.003 seconds measures a duration as 7.204 seconds. Your computer gives the output 0.059072800000 when multiplying the two values. Using the correct level of precision, what is the result?
A. 0.059 meter-seconds
B. 0.06 meter-seconds
C. 0.059072800000 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 spring scale with a precision of +/- 0.01 grams takes a measurement of 9.06 grams, and a graduated cylinder with a precision of +/- 0.003 liters reads 0.007 liters when measuring a volume. After dividing the former number by the latter your calculator app produces the solution 1294.285714285714. If we round this solution to the proper number of significant digits, what is the answer?
A. 1294.29 grams/liter
B. 1294.3 grams/liter
C. 1000 grams/liter
D. 1294.285714285714 grams/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 analytical balance with a precision of +/- 300 grams measures a mass of 1000 grams and a spring scale with a precision of +/- 0.0001 grams measures a mass of a different object as 0.0165 grams. After multiplying the two numbers your calculator gives the output 16.500000000000. When this output is reported to the proper number of significant digits, what do we get?
A. 16.50 grams^2
B. 16.500000000000 grams^2
C. 16 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).
---

A graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 4.789 liters, and a clickwheel with a precision of +/- 0.002 meters reads 7.844 meters when measuring a distance. Your computer gets the solution 37.564916000000 when multiplying the first number by the second number. When this solution is expressed to the correct number of significant digits, what do we get?
A. 37.564916000000 liter-meters
B. 37.56 liter-meters
C. 37.5649 liter-meters
D. 37.565 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 stadimeter with a precision of +/- 300 meters measures a distance of 5300 meters and a measuring stick with a precision of +/- 0.002 meters measures a distance between two different points as 0.967 meters. Your calculator app yields the solution 5125.100000000000 when multiplying the first number by the second number. Round this solution using the correct number of significant digits.
A. 5100 meters^2
B. 5125.100000000000 meters^2
C. 5125.10 meters^2
Answer:


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

A measuring rod with a precision of +/- 0.04 meters takes a measurement of 0.08 meters, and a cathetometer with a precision of +/- 0.00003 meters reads 0.04709 meters when measuring a distance between two different points. Using a calculator app, you divide the values and get the solution 1.698874495647. Express this solution using the correct number of significant digits.
A. 1.698874495647
B. 1.70
C. 2
D. 1.7
Answer:


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

A ruler with a precision of +/- 0.001 meters measures a distance of 0.085 meters and a stadimeter with a precision of +/- 0.4 meters measures a distance between two different points as 7.4 meters. Using a calculator app, you multiply the first number by the second number and get the output 0.629000000000. How can we report this output to the suitable level of precision?
A. 0.6 meters^2
B. 0.629000000000 meters^2
C. 0.63 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 +/- 0.1 meters measures a distance of 7.5 meters and a measuring rod with a precision of +/- 0.002 meters measures a distance between two different points as 9.139 meters. After dividing the former value by the latter your calculator gives the output 0.820658715396. If we round this output appropriately with respect to the number of significant digits, what is the answer?
A. 0.8
B. 0.82
C. 0.820658715396
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 measures a volume of 0.013 liters and a tape measure with a precision of +/- 0.004 meters measures a distance as 0.132 meters. You multiply the values with a computer and get the solution 0.001716000000. Report this solution using the appropriate level of precision.
A. 0.0017 liter-meters
B. 0.002 liter-meters
C. 0.001716000000 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 +/- 0.004 meters measures a distance of 7.256 meters and a rangefinder with a precision of +/- 0.2 meters reads 401.8 meters when measuring a distance between two different points. You multiply the former number by the latter with a computer and get the solution 2915.460800000000. If we express this solution to the appropriate number of significant digits, what is the answer?
A. 2915.5 meters^2
B. 2915.460800000000 meters^2
C. 2915 meters^2
D. 2915.4608 meters^2
Answer:


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

A chronograph with a precision of +/- 0.004 seconds takes a measurement of 0.107 seconds, and an opisometer with a precision of +/- 0.1 meters reads 83.2 meters when measuring a distance. You multiply the numbers with a calculator app and get the output 8.902400000000. How would this answer look if we wrote it with the correct number of significant digits?
A. 8.9 meter-seconds
B. 8.902400000000 meter-seconds
C. 8.90 meter-seconds
D. 8.902 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 biltmore stick with a precision of +/- 0.04 meters takes a measurement of 8.91 meters, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.057 liters. You divide the values with a calculator and get the output 156.315789473684. If we round this output to the correct number of significant digits, what is the answer?
A. 160 meters/liter
B. 156.315789473684 meters/liter
C. 156.32 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 measuring flask with a precision of +/- 0.001 liters measures a volume of 5.461 liters and a rangefinder with a precision of +/- 0.3 meters reads 311.5 meters when measuring a distance. You multiply the numbers with a computer and get the output 1701.101500000000. How would this result look if we rounded it with the correct number of significant digits?
A. 1701 liter-meters
B. 1701.101500000000 liter-meters
C. 1701.1015 liter-meters
D. 1701.1 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 +/- 0.003 liters measures a volume of 0.961 liters and a ruler with a precision of +/- 0.3 meters reads 2.5 meters when measuring a distance. After multiplying the first value by the second value your calculator app gives the output 2.402500000000. Using the proper number of significant digits, what is the result?
A. 2.4 liter-meters
B. 2.402500000000 liter-meters
C. 2.40 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 radar-based method with a precision of +/- 10 meters takes a measurement of 71410 meters, and a chronograph with a precision of +/- 0.01 seconds measures a duration as 20.57 seconds. You multiply the numbers with a computer and get the output 1468903.700000000000. Round this output using the correct number of significant digits.
A. 1468903.7000 meter-seconds
B. 1469000 meter-seconds
C. 1468903.700000000000 meter-seconds
D. 1468900 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 +/- 4 liters measures a volume of 55 liters and a meter stick with a precision of +/- 0.0001 meters reads 0.9614 meters when measuring a distance. After dividing the values your calculator app gets the output 57.208237986270. If we write this output to the suitable level of precision, what is the answer?
A. 57.21 liters/meter
B. 57 liters/meter
C. 57.208237986270 liters/meter
Answer:


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

A spring scale with a precision of +/- 0.3 grams measures a mass of 41.5 grams and a tape measure with a precision of +/- 0.0003 meters reads 0.0037 meters when measuring a distance. Your calculator app produces the solution 0.153550000000 when multiplying the first number by the second number. How would this answer look if we reported it with the suitable number of significant digits?
A. 0.2 gram-meters
B. 0.153550000000 gram-meters
C. 0.15 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 6.7 meters, and a measuring stick with a precision of +/- 0.02 meters reads 71.31 meters when measuring a distance between two different points. After multiplying the former value by the latter your calculator gives the solution 477.777000000000. If we round this solution suitably with respect to the number of significant digits, what is the result?
A. 480 meters^2
B. 477.777000000000 meters^2
C. 477.8 meters^2
D. 477.78 meters^2
Answer:


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

An analytical balance with a precision of +/- 300 grams measures a mass of 2900 grams and a rangefinder with a precision of +/- 4 meters measures a distance as 9711 meters. You multiply the two numbers with a calculator app and get the solution 28161900.000000000000. When this solution is written to the appropriate number of significant digits, what do we get?
A. 28000000 gram-meters
B. 28161900.000000000000 gram-meters
C. 28161900.00 gram-meters
D. 28161900 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 +/- 0.001 meters takes a measurement of 9.878 meters, and a measuring stick with a precision of +/- 0.4 meters reads 71.1 meters when measuring a distance between two different points. After dividing the former value by the latter your computer yields the output 0.138931082982. When this output is reported to the suitable number of significant digits, what do we get?
A. 0.1
B. 0.138931082982
C. 0.139
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 +/- 0.01 meters measures a distance of 8.27 meters and a chronograph with a precision of +/- 0.04 seconds measures a duration as 6.99 seconds. Your computer yields the output 1.183118741059 when dividing the first number by the second number. If we write this output to the suitable level of precision, what is the result?
A. 1.183 meters/second
B. 1.18 meters/second
C. 1.183118741059 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 radar-based method with a precision of +/- 2 meters measures a distance of 28 meters and a measuring tape with a precision of +/- 0.04 meters reads 6.22 meters when measuring a distance between two different points. Using a calculator app, you divide the two numbers and get the output 4.501607717042. Using the appropriate level of precision, what is the answer?
A. 4.501607717042
B. 4.5
C. 4
D. 4.50
Answer:


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

A measuring stick with a precision of +/- 0.02 meters takes a measurement of 8.65 meters, and a graduated cylinder with a precision of +/- 0.004 liters reads 0.032 liters when measuring a volume. Your calculator app gives the solution 270.312500000000 when dividing the former value by the latter. How would this result look if we expressed it with the suitable level of precision?
A. 270 meters/liter
B. 270.312500000000 meters/liter
C. 270.31 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 analytical balance with a precision of +/- 30 grams measures a mass of 80120 grams and a stopwatch with a precision of +/- 0.003 seconds measures a duration as 0.003 seconds. You divide the former number by the latter with a computer and get the solution 26706666.666666666667. How would this answer look if we rounded it with the appropriate level of precision?
A. 30000000 grams/second
B. 26706660 grams/second
C. 26706666.666666666667 grams/second
D. 26706666.7 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 balance with a precision of +/- 0.02 grams takes a measurement of 22.42 grams, and an opisometer with a precision of +/- 0.02 meters measures a distance as 0.57 meters. After multiplying the two numbers your calculator app produces the output 12.779400000000. When this output is reported to the correct level of precision, what do we get?
A. 13 gram-meters
B. 12.779400000000 gram-meters
C. 12.78 gram-meters
Answer:


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

An analytical balance with a precision of +/- 0.0001 grams takes a measurement of 0.0001 grams, and a hydraulic scale with a precision of +/- 0.0003 grams measures a mass of a different object as 0.0339 grams. Using a calculator, you divide the values and get the output 0.002949852507. If we express this output to the appropriate number of significant digits, what is the result?
A. 0.0029
B. 0.002949852507
C. 0.003
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 measures a distance of 60.6 meters and a graduated cylinder with a precision of +/- 0.003 liters reads 0.150 liters when measuring a volume. After multiplying the values your calculator app yields the solution 9.090000000000. Express this solution using the appropriate level of precision.
A. 9.1 liter-meters
B. 9.090 liter-meters
C. 9.090000000000 liter-meters
D. 9.09 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 balance with a precision of +/- 100 grams measures a mass of 600 grams and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.0100 meters. After dividing the values your computer gives the output 60000.000000000000. If we round this output to the right number of significant digits, what is the result?
A. 60000 grams/meter
B. 60000.000000000000 grams/meter
C. 60000.0 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 caliper with a precision of +/- 0.002 meters takes a measurement of 0.150 meters, and a rangefinder with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0043 meters. You multiply the former number by the latter with a calculator and get the solution 0.000645000000. Round this solution using the right level of precision.
A. 0.000645000000 meters^2
B. 0.00064 meters^2
C. 0.001 meters^2
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 520 meters, and a clickwheel with a precision of +/- 0.01 meters reads 62.88 meters when measuring a distance between two different points. Using a calculator, you multiply the two numbers and get the solution 32697.600000000000. If we write this solution appropriately with respect to the level of precision, what is the result?
A. 32697.600 meters^2
B. 32700 meters^2
C. 32697 meters^2
D. 32697.600000000000 meters^2
Answer:


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

A stadimeter with a precision of +/- 300 meters takes a measurement of 500 meters, and a stopwatch with a precision of +/- 0.04 seconds measures a duration as 3.31 seconds. You multiply the former number by the latter with a calculator and get the output 1655.000000000000. If we round this output properly with respect to the level of precision, what is the answer?
A. 1655.000000000000 meter-seconds
B. 1655.0 meter-seconds
C. 1600 meter-seconds
D. 2000 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).
---

An opisometer with a precision of +/- 0.004 meters measures a distance of 4.063 meters and an odometer with a precision of +/- 200 meters reads 200 meters when measuring a distance between two different points. After multiplying the values your calculator yields the output 812.600000000000. When this output is written to the right level of precision, what do we get?
A. 800 meters^2
B. 812.6 meters^2
C. 812.600000000000 meters^2
Answer:


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

An opisometer with a precision of +/- 1 meters takes a measurement of 948 meters, and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0085 meters. Your computer gets the solution 8.058000000000 when multiplying the first value by the second value. How can we round this solution to the correct level of precision?
A. 8.1 meters^2
B. 8.058000000000 meters^2
C. 8.06 meters^2
D. 8 meters^2
Answer:


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

An odometer with a precision of +/- 3000 meters takes a measurement of 1673000 meters, and a hydraulic scale with a precision of +/- 2000 grams measures a mass as 319000 grams. Using a calculator app, you divide the numbers and get the solution 5.244514106583. Express this solution using the appropriate level of precision.
A. 5.244514106583 meters/gram
B. 5.24 meters/gram
C. 5.245 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 chronometer with a precision of +/- 0.0001 seconds measures a duration of 0.9993 seconds and a chronograph with a precision of +/- 0.002 seconds reads 9.088 seconds when measuring a duration of a different event. After dividing the two numbers your computer produces the solution 0.109958186620. How would this answer look if we reported it with the right number of significant digits?
A. 0.1100
B. 0.110
C. 0.109958186620
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 +/- 2 grams measures a mass of 352 grams and a measuring flask with a precision of +/- 0.04 liters reads 0.05 liters when measuring a volume. After dividing the values your computer gets the solution 7040.000000000000. If we write this solution to the appropriate number of significant digits, what is the result?
A. 7040.000000000000 grams/liter
B. 7000 grams/liter
C. 7040.0 grams/liter
D. 7040 grams/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 +/- 200 meters measures a distance of 87600 meters and a measuring stick with a precision of +/- 0.1 meters reads 6.6 meters when measuring a distance between two different points. Using a calculator app, you divide the numbers and get the solution 13272.727272727273. Report this solution using the suitable level of precision.
A. 13000
B. 13200
C. 13272.73
D. 13272.727272727273
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 6.42 meters and a measuring tape with a precision of +/- 0.4 meters measures a distance between two different points as 1.2 meters. After multiplying the first number by the second number your calculator gives the solution 7.704000000000. When this solution is reported to the proper level of precision, what do we get?
A. 7.7 meters^2
B. 7.704000000000 meters^2
C. 7.70 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 +/- 10 liters takes a measurement of 27150 liters, and a measuring stick with a precision of +/- 0.03 meters measures a distance as 0.05 meters. You multiply the two numbers with a computer and get the solution 1357.500000000000. If we report this solution to the suitable number of significant digits, what is the answer?
A. 1000 liter-meters
B. 1357.5 liter-meters
C. 1350 liter-meters
D. 1357.500000000000 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 clickwheel with a precision of +/- 0.02 meters takes a measurement of 98.06 meters, and a balance with a precision of +/- 2 grams measures a mass as 57 grams. After dividing the numbers your calculator produces the solution 1.720350877193. If we express this solution to the proper number of significant digits, what is the result?
A. 1.72 meters/gram
B. 1.720350877193 meters/gram
C. 1 meters/gram
D. 1.7 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 hydraulic scale with a precision of +/- 300 grams takes a measurement of 9100 grams, and a hydraulic scale with a precision of +/- 10 grams measures a mass of a different object as 980 grams. Using a calculator, you multiply the first value by the second value and get the solution 8918000.000000000000. Using the right level of precision, what is the answer?
A. 8918000.00 grams^2
B. 8918000 grams^2
C. 8900000 grams^2
D. 8918000.000000000000 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).
---

A measuring stick with a precision of +/- 0.3 meters takes a measurement of 76.0 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0009 meters when measuring a distance between two different points. You divide the former number by the latter with a calculator app and get the solution 84444.444444444444. How would this answer look if we rounded it with the suitable number of significant digits?
A. 84444.444444444444
B. 84444.4
C. 80000
Answer:


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

A radar-based method with a precision of +/- 4 meters measures a distance of 9070 meters and a Biltmore stick with a precision of +/- 0.04 meters reads 1.00 meters when measuring a distance between two different points. Using a calculator, you divide the two numbers and get the solution 9070.000000000000. Using the appropriate level of precision, what is the result?
A. 9070.000000000000
B. 9070
C. 9070.000
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 +/- 0.003 meters measures a distance of 0.010 meters and a ruler with a precision of +/- 0.04 meters reads 0.03 meters when measuring a distance between two different points. Using a computer, you divide the values and get the solution 0.333333333333. How can we write this solution to the suitable level of precision?
A. 0.3
B. 0.333333333333
C. 0.33
Answer:


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

A graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.006 liters and a hydraulic scale with a precision of +/- 40 grams reads 35270 grams when measuring a mass. Your calculator yields the output 211.620000000000 when multiplying the first number by the second number. Using the right number of significant digits, what is the answer?
A. 211.620000000000 gram-liters
B. 211.6 gram-liters
C. 200 gram-liters
D. 210 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 meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0100 meters, and an analytical balance with a precision of +/- 100 grams reads 300 grams when measuring a mass. You multiply the first value by the second value with a computer and get the output 3.000000000000. How can we write this output to the suitable level of precision?
A. 3.0 gram-meters
B. 3 gram-meters
C. 3.000000000000 gram-meters
Answer:


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

An opisometer with a precision of +/- 4 meters takes a measurement of 1740 meters, and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.074 liters. Using a computer, you multiply the values and get the solution 128.760000000000. How would this result look if we expressed it with the right number of significant digits?
A. 128.760000000000 liter-meters
B. 130 liter-meters
C. 128.76 liter-meters
D. 128 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 3.912 liters, and a caliper with a precision of +/- 0.04 meters measures a distance as 0.06 meters. Using a calculator app, you multiply the first value by the second value and get the output 0.234720000000. If we report this output to the correct level of precision, what is the answer?
A. 0.234720000000 liter-meters
B. 0.23 liter-meters
C. 0.2 liter-meters
Answer:


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

A ruler with a precision of +/- 0.0004 meters measures a distance of 0.0094 meters and a clickwheel with a precision of +/- 0.2 meters measures a distance between two different points as 11.0 meters. You multiply the former number by the latter with a calculator app and get the solution 0.103400000000. Write this solution using the proper level of precision.
A. 0.10 meters^2
B. 0.103400000000 meters^2
C. 0.1 meters^2
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 1239 meters, and a measuring flask with a precision of +/- 0.003 liters reads 0.035 liters when measuring a volume. Using a calculator, you multiply the former number by the latter and get the output 43.365000000000. How would this answer look if we wrote it with the appropriate level of precision?
A. 43.365000000000 liter-meters
B. 43 liter-meters
C. 43.36 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 +/- 0.0004 meters takes a measurement of 0.0028 meters, and a clickwheel with a precision of +/- 0.001 meters measures a distance between two different points as 9.587 meters. You multiply the first value by the second value with a computer and get the output 0.026843600000. If we write this output to the right number of significant digits, what is the result?
A. 0.03 meters^2
B. 0.027 meters^2
C. 0.026843600000 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 +/- 0.3 liters takes a measurement of 13.5 liters, and a measuring rod with a precision of +/- 0.001 meters measures a distance as 8.942 meters. After multiplying the former number by the latter your calculator gets the solution 120.717000000000. Using the suitable number of significant digits, what is the answer?
A. 120.717 liter-meters
B. 121 liter-meters
C. 120.7 liter-meters
D. 120.717000000000 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 analytical balance with a precision of +/- 10 grams measures a mass of 9850 grams and a balance with a precision of +/- 4 grams reads 87 grams when measuring a mass of a different object. After dividing the first value by the second value your calculator app gives the output 113.218390804598. Using the suitable level of precision, what is the result?
A. 113.218390804598
B. 113.22
C. 110
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 +/- 0.03 meters takes a measurement of 29.70 meters, and a measuring tape with a precision of +/- 0.02 meters reads 0.08 meters when measuring a distance between two different points. Your calculator gets the solution 2.376000000000 when multiplying the first number by the second number. Express this solution using the appropriate number of significant digits.
A. 2.38 meters^2
B. 2.4 meters^2
C. 2.376000000000 meters^2
D. 2 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 coincidence telemeter with a precision of +/- 20 meters measures a distance of 8040 meters and a radar-based method with a precision of +/- 40 meters reads 270 meters when measuring a distance between two different points. Using a calculator, you divide the former value by the latter and get the output 29.777777777778. If we report this output suitably with respect to the level of precision, what is the result?
A. 29.78
B. 30
C. 29.777777777778
D. 20
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 +/- 2000 grams takes a measurement of 96000 grams, and a hydraulic scale with a precision of +/- 0.01 grams reads 95.38 grams when measuring a mass of a different object. Using a calculator, you multiply the first number by the second number and get the solution 9156480.000000000000. If we report this solution to the correct number of significant digits, what is the answer?
A. 9156480.000000000000 grams^2
B. 9156000 grams^2
C. 9200000 grams^2
D. 9156480.00 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).
---

A cathetometer with a precision of +/- 0.00003 meters measures a distance of 0.06866 meters and a tape measure with a precision of +/- 0.001 meters reads 0.750 meters when measuring a distance between two different points. Your calculator yields the output 0.091546666667 when dividing the values. If we express this output to the proper level of precision, what is the result?
A. 0.092
B. 0.0915
C. 0.091546666667
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 rangefinder with a precision of +/- 0.04 meters takes a measurement of 68.22 meters, and a Biltmore stick with a precision of +/- 0.04 meters measures a distance between two different points as 6.85 meters. Your calculator yields the output 467.307000000000 when multiplying the first number by the second number. How would this result look if we wrote it with the correct number of significant digits?
A. 467.31 meters^2
B. 467 meters^2
C. 467.307000000000 meters^2
D. 467.307 meters^2
Answer: