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 +/- 1 meters takes a measurement of 347 meters, and a Biltmore stick with a precision of +/- 0.03 meters measures a distance between two different points as 0.81 meters. After dividing the two numbers your calculator gets the solution 428.395061728395. How can we report this solution to the right level of precision?
A. 430
B. 428.40
C. 428
D. 428.395061728395
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 +/- 0.00001 seconds measures a duration of 0.09061 seconds and a measuring flask with a precision of +/- 0.001 liters measures a volume as 0.070 liters. Using a computer, you divide the former number by the latter and get the solution 1.294428571429. Using the suitable level of precision, what is the answer?
A. 1.294 seconds/liter
B. 1.294428571429 seconds/liter
C. 1.29 seconds/liter
D. 1.3 seconds/liter
Answer:


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

A timer with a precision of +/- 0.03 seconds measures a duration of 5.14 seconds and a clickwheel with a precision of +/- 0.04 meters reads 0.41 meters when measuring a distance. Your calculator yields the solution 12.536585365854 when dividing the values. How would this result look if we wrote it with the suitable level of precision?
A. 12.536585365854 seconds/meter
B. 12.54 seconds/meter
C. 13 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 caliper with a precision of +/- 0.004 meters measures a distance of 0.131 meters and a spring scale with a precision of +/- 1 grams reads 8 grams when measuring a mass. After multiplying the former number by the latter your calculator gets the output 1.048000000000. If we round this output suitably with respect to the level of precision, what is the result?
A. 1.048000000000 gram-meters
B. 1.0 gram-meters
C. 1 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 chronograph with a precision of +/- 0.001 seconds takes a measurement of 0.095 seconds, and a storage container with a precision of +/- 4 liters measures a volume as 94 liters. Using a calculator app, you multiply the first value by the second value and get the solution 8.930000000000. How can we write this solution to the appropriate number of significant digits?
A. 8.93 liter-seconds
B. 8.930000000000 liter-seconds
C. 8 liter-seconds
D. 8.9 liter-seconds
Answer:


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

A coincidence telemeter with a precision of +/- 2 meters takes a measurement of 171 meters, and a hydraulic scale with a precision of +/- 0.03 grams measures a mass as 2.48 grams. After multiplying the former value by the latter your calculator app gives the solution 424.080000000000. How would this result look if we reported it with the correct level of precision?
A. 424 gram-meters
B. 424.080000000000 gram-meters
C. 424.080 gram-meters
Answer:


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

A timer with a precision of +/- 0.1 seconds measures a duration of 4.0 seconds and a caliper with a precision of +/- 0.004 meters reads 0.382 meters when measuring a distance. You multiply the two numbers with a calculator and get the output 1.528000000000. If we report this output to the proper number of significant digits, what is the answer?
A. 1.5 meter-seconds
B. 1.53 meter-seconds
C. 1.528000000000 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 balance with a precision of +/- 0.2 grams takes a measurement of 4.9 grams, and a measuring tape with a precision of +/- 0.04 meters reads 0.60 meters when measuring a distance. Using a calculator, you multiply the two values and get the output 2.940000000000. Express this output using the suitable number of significant digits.
A. 2.940000000000 gram-meters
B. 2.94 gram-meters
C. 2.9 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 stopwatch with a precision of +/- 0.01 seconds takes a measurement of 0.02 seconds, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 33.52 liters. Your calculator app yields the output 0.670400000000 when multiplying the first value by the second value. How would this result look if we rounded it with the correct level of precision?
A. 0.7 liter-seconds
B. 0.670400000000 liter-seconds
C. 0.67 liter-seconds
Answer:


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

A storage container with a precision of +/- 20 liters takes a measurement of 52850 liters, and a storage container with a precision of +/- 0.4 liters measures a volume of a different quantity of liquid as 348.7 liters. Your computer yields the solution 18428795.000000000000 when multiplying the two values. Using the correct number of significant digits, what is the result?
A. 18430000 liters^2
B. 18428795.000000000000 liters^2
C. 18428795.0000 liters^2
D. 18428790 liters^2
Answer:


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

A rangefinder with a precision of +/- 0.0003 meters measures a distance of 0.3793 meters and an analytical balance with a precision of +/- 4 grams reads 43 grams when measuring a mass. You multiply the two numbers with a computer and get the output 16.309900000000. How would this result look if we wrote it with the appropriate level of precision?
A. 16.309900000000 gram-meters
B. 16.31 gram-meters
C. 16 gram-meters
Answer:


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

A spring scale with a precision of +/- 0.01 grams measures a mass of 51.51 grams and a balance with a precision of +/- 0.001 grams measures a mass of a different object as 0.072 grams. Using a computer, you multiply the former number by the latter and get the output 3.708720000000. How would this answer look if we rounded it with the correct number of significant digits?
A. 3.7 grams^2
B. 3.708720000000 grams^2
C. 3.71 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 coincidence telemeter with a precision of +/- 4 meters measures a distance of 49 meters and a rangefinder with a precision of +/- 0.02 meters measures a distance between two different points as 0.41 meters. After dividing the former value by the latter your calculator app yields the solution 119.512195121951. How would this result look if we reported it with the suitable number of significant digits?
A. 120
B. 119.512195121951
C. 119
D. 119.51
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 +/- 4 grams takes a measurement of 9 grams, and a ruler with a precision of +/- 0.0004 meters measures a distance as 0.0009 meters. Your computer gives the solution 10000.000000000000 when dividing the values. Using the right number of significant digits, what is the answer?
A. 10000 grams/meter
B. 10000.0 grams/meter
C. 10000.000000000000 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 stadimeter with a precision of +/- 300 meters takes a measurement of 83400 meters, and a measuring rod with a precision of +/- 0.04 meters measures a distance between two different points as 4.40 meters. You divide the first value by the second value with a calculator and get the solution 18954.545454545455. If we write this solution suitably with respect to the level of precision, what is the answer?
A. 18954.545454545455
B. 19000
C. 18954.545
D. 18900
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 +/- 0.04 meters takes a measurement of 44.53 meters, and a stadimeter with a precision of +/- 10 meters reads 540 meters when measuring a distance between two different points. Your calculator app gives the solution 24046.200000000000 when multiplying the first value by the second value. If we round this solution to the proper number of significant digits, what is the result?
A. 24046.200000000000 meters^2
B. 24046.20 meters^2
C. 24040 meters^2
D. 24000 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 +/- 3 meters takes a measurement of 5134 meters, and a caliper with a precision of +/- 0.02 meters reads 0.41 meters when measuring a distance between two different points. Your calculator gets the output 12521.951219512195 when dividing the first number by the second number. How can we express this output to the suitable number of significant digits?
A. 13000
B. 12521
C. 12521.95
D. 12521.951219512195
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 +/- 40 meters measures a distance of 40 meters and an opisometer with a precision of +/- 0.002 meters reads 0.088 meters when measuring a distance between two different points. You divide the numbers with a calculator app and get the solution 454.545454545455. Express this solution using the proper number of significant digits.
A. 454.5
B. 454.545454545455
C. 450
D. 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 +/- 3000 grams takes a measurement of 34000 grams, and an opisometer with a precision of +/- 0.03 meters reads 0.03 meters when measuring a distance. Using a calculator app, you multiply the former value by the latter and get the output 1020.000000000000. Express this output using the suitable level of precision.
A. 1020.000000000000 gram-meters
B. 1020.0 gram-meters
C. 1000 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 radar-based method with a precision of +/- 200 meters measures a distance of 298900 meters and a cathetometer with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0172 meters. Using a computer, you divide the first value by the second value and get the output 17377906.976744186047. How can we express this output to the proper level of precision?
A. 17400000
B. 17377906.976744186047
C. 17377906.977
D. 17377900
Answer:


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

A spring scale with a precision of +/- 400 grams takes a measurement of 37500 grams, and a chronometer with a precision of +/- 0.0003 seconds reads 0.6560 seconds when measuring a duration. After dividing the former number by the latter your computer gets the output 57164.634146341463. If we round this output to the right number of significant digits, what is the result?
A. 57200 grams/second
B. 57164.634146341463 grams/second
C. 57164.634 grams/second
D. 57100 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 rangefinder with a precision of +/- 0.004 meters measures a distance of 0.374 meters and an odometer with a precision of +/- 4000 meters reads 845000 meters when measuring a distance between two different points. Your computer gives the output 316030.000000000000 when multiplying the two values. How can we express this output to the appropriate number of significant digits?
A. 316030.000 meters^2
B. 316000 meters^2
C. 316030.000000000000 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 spring scale with a precision of +/- 2000 grams measures a mass of 708000 grams and a hydraulic scale with a precision of +/- 4 grams reads 1 grams when measuring a mass of a different object. Using a calculator, you multiply the two values and get the solution 708000.000000000000. When this solution is rounded to the suitable level of precision, what do we get?
A. 700000 grams^2
B. 708000.000000000000 grams^2
C. 708000 grams^2
D. 708000.0 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 clickwheel with a precision of +/- 0.04 meters takes a measurement of 0.13 meters, and a balance with a precision of +/- 10 grams measures a mass as 10 grams. After multiplying the former number by the latter your computer produces the output 1.300000000000. If we round this output appropriately with respect to the level of precision, what is the result?
A. 1.3 gram-meters
B. 1.300000000000 gram-meters
C. 1 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 chronograph with a precision of +/- 0.002 seconds measures a duration of 7.400 seconds and a chronograph with a precision of +/- 0.1 seconds reads 1.0 seconds when measuring a duration of a different event. After dividing the two values your calculator gets the output 7.400000000000. How can we report this output to the proper level of precision?
A. 7.4
B. 7.40
C. 7.400000000000
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 +/- 0.001 meters measures a distance of 0.010 meters and a chronometer with a precision of +/- 0.00001 seconds measures a duration as 0.00002 seconds. Your computer gives the solution 500.000000000000 when dividing the two numbers. If we round this solution to the correct number of significant digits, what is the result?
A. 500.000000000000 meters/second
B. 500.000 meters/second
C. 500 meters/second
D. 500.0 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 storage container with a precision of +/- 40 liters measures a volume of 140 liters and a chronometer with a precision of +/- 0.0001 seconds measures a duration as 0.0084 seconds. Your calculator app gets the solution 1.176000000000 when multiplying the former number by the latter. If we report this solution to the suitable number of significant digits, what is the answer?
A. 1.18 liter-seconds
B. 1.2 liter-seconds
C. 1.176000000000 liter-seconds
Answer:


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

A biltmore stick with a precision of +/- 0.01 meters takes a measurement of 0.99 meters, and a clickwheel with a precision of +/- 0.002 meters reads 0.002 meters when measuring a distance between two different points. You divide the first number by the second number with a calculator and get the solution 495.000000000000. Round this solution using the appropriate level of precision.
A. 495.000000000000
B. 495.00
C. 500
D. 495.0
Answer:


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

A meter stick with a precision of +/- 0.0002 meters takes a measurement of 0.0095 meters, and a tape measure with a precision of +/- 0.001 meters reads 0.985 meters when measuring a distance between two different points. You multiply the numbers with a calculator and get the output 0.009357500000. If we express this output to the suitable number of significant digits, what is the answer?
A. 0.009 meters^2
B. 0.009357500000 meters^2
C. 0.0094 meters^2
D. 0.01 meters^2
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 0.196 liters and a measuring flask with a precision of +/- 0.003 liters measures a volume of a different quantity of liquid as 0.020 liters. After multiplying the former value by the latter your calculator app gets the solution 0.003920000000. How can we report this solution to the right level of precision?
A. 0.003920000000 liters^2
B. 0.0039 liters^2
C. 0.004 liters^2
Answer:


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

A radar-based method with a precision of +/- 3 meters measures a distance of 7 meters and a stopwatch with a precision of +/- 0.03 seconds measures a duration as 0.01 seconds. You multiply the former value by the latter with a calculator and get the solution 0.070000000000. When this solution is expressed to the proper level of precision, what do we get?
A. 0.1 meter-seconds
B. 0.07 meter-seconds
C. 0.070000000000 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 chronograph with a precision of +/- 0.2 seconds measures a duration of 81.6 seconds and a radar-based method with a precision of +/- 2 meters measures a distance as 6 meters. Using a computer, you divide the two values and get the solution 13.600000000000. If we express this solution to the proper number of significant digits, what is the result?
A. 13.6 seconds/meter
B. 10 seconds/meter
C. 13 seconds/meter
D. 13.600000000000 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).
---

An analytical balance with a precision of +/- 0.0001 grams measures a mass of 0.9997 grams and a spring scale with a precision of +/- 2000 grams reads 857000 grams when measuring a mass of a different object. You multiply the two values with a calculator and get the solution 856742.900000000000. If we write this solution correctly with respect to the number of significant digits, what is the answer?
A. 856742.900 grams^2
B. 856000 grams^2
C. 856742.900000000000 grams^2
D. 857000 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 timer with a precision of +/- 0.1 seconds measures a duration of 21.6 seconds and a spring scale with a precision of +/- 0.03 grams measures a mass as 0.07 grams. After multiplying the former value by the latter your calculator app gets the output 1.512000000000. Write this output using the suitable level of precision.
A. 1.5 gram-seconds
B. 1.512000000000 gram-seconds
C. 2 gram-seconds
Answer:


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

A stopwatch with a precision of +/- 0.001 seconds takes a measurement of 0.006 seconds, and a ruler with a precision of +/- 0.003 meters measures a distance as 7.723 meters. Your calculator produces the solution 0.046338000000 when multiplying the former value by the latter. If we write this solution appropriately with respect to the level of precision, what is the result?
A. 0.05 meter-seconds
B. 0.046338000000 meter-seconds
C. 0.046 meter-seconds
Answer:


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

A coincidence telemeter with a precision of +/- 4 meters takes a measurement of 6 meters, and a measuring flask with a precision of +/- 0.01 liters reads 98.92 liters when measuring a volume. Your calculator app gets the solution 0.060655074808 when dividing the first number by the second number. If we round this solution to the proper number of significant digits, what is the result?
A. 0.1 meters/liter
B. 0.06 meters/liter
C. 0.060655074808 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 tape with a precision of +/- 0.3 meters measures a distance of 520.9 meters and a measuring flask with a precision of +/- 0.04 liters reads 4.66 liters when measuring a volume. You multiply the former number by the latter with a computer and get the output 2427.394000000000. How can we write this output to the proper level of precision?
A. 2427.4 liter-meters
B. 2427.394000000000 liter-meters
C. 2430 liter-meters
D. 2427.394 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 +/- 0.001 liters measures a volume of 0.020 liters and a measuring flask with a precision of +/- 0.01 liters measures a volume of a different quantity of liquid as 1.40 liters. You multiply the two numbers with a calculator and get the output 0.028000000000. Express this output using the correct level of precision.
A. 0.028000000000 liters^2
B. 0.03 liters^2
C. 0.028 liters^2
Answer:


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

An odometer with a precision of +/- 100 meters takes a measurement of 41500 meters, and a stadimeter with a precision of +/- 2 meters reads 8 meters when measuring a distance between two different points. You divide the first value by the second value with a calculator app and get the solution 5187.500000000000. How can we report this solution to the right level of precision?
A. 5187.5
B. 5000
C. 5100
D. 5187.500000000000
Answer:


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

A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.7685 meters, and a chronograph with a precision of +/- 0.003 seconds measures a duration as 0.006 seconds. Your calculator app gets the output 128.083333333333 when dividing the two values. Using the appropriate number of significant digits, what is the result?
A. 128.083333333333 meters/second
B. 100 meters/second
C. 128.083 meters/second
D. 128.1 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 timer with a precision of +/- 0.2 seconds takes a measurement of 3.5 seconds, and a measuring stick with a precision of +/- 0.04 meters measures a distance as 3.80 meters. You divide the values with a calculator and get the solution 0.921052631579. When this solution is expressed to the appropriate level of precision, what do we get?
A. 0.92 seconds/meter
B. 0.9 seconds/meter
C. 0.921052631579 seconds/meter
Answer:


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

A hydraulic scale with a precision of +/- 100 grams measures a mass of 200 grams and a chronograph with a precision of +/- 0.01 seconds measures a duration as 2.64 seconds. Using a calculator, you divide the former value by the latter and get the solution 75.757575757576. How would this result look if we wrote it with the right number of significant digits?
A. 75.8 grams/second
B. 80 grams/second
C. 75.757575757576 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 graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 8.959 liters, and a measuring tape with a precision of +/- 0.1 meters reads 3.1 meters when measuring a distance. You multiply the first number by the second number with a computer and get the output 27.772900000000. Using the correct number of significant digits, what is the answer?
A. 27.77 liter-meters
B. 27.8 liter-meters
C. 28 liter-meters
D. 27.772900000000 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 storage container with a precision of +/- 30 liters measures a volume of 5620 liters and a coincidence telemeter with a precision of +/- 40 meters measures a distance as 4580 meters. You divide the former number by the latter with a computer and get the solution 1.227074235808. How can we express this solution to the suitable level of precision?
A. 1.227074235808 liters/meter
B. 1.23 liters/meter
C. 1.227 liters/meter
Answer:


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

A hydraulic scale with a precision of +/- 10 grams takes a measurement of 130 grams, and a radar-based method with a precision of +/- 200 meters reads 100 meters when measuring a distance. You multiply the values with a calculator and get the solution 13000.000000000000. How can we report this solution to the right level of precision?
A. 13000 gram-meters
B. 10000 gram-meters
C. 13000.000000000000 gram-meters
D. 13000.0 gram-meters
Answer:


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

A tape measure with a precision of +/- 0.003 meters measures a distance of 0.005 meters and a Biltmore stick with a precision of +/- 0.01 meters reads 0.64 meters when measuring a distance between two different points. After dividing the two values your computer yields the solution 0.007812500000. Round this solution using the appropriate level of precision.
A. 0.01
B. 0.008
C. 0.007812500000
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 +/- 0.03 meters takes a measurement of 9.52 meters, and an opisometer with a precision of +/- 4 meters measures a distance between two different points as 458 meters. Your calculator gets the output 0.020786026201 when dividing the two values. When this output is rounded to the correct level of precision, what do we get?
A. 0.020786026201
B. 0.021
C. 0.0208
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 +/- 0.1 seconds takes a measurement of 0.9 seconds, and a ruler with a precision of +/- 0.01 meters measures a distance as 51.97 meters. Using a computer, you multiply the two numbers and get the output 46.773000000000. If we write this output correctly with respect to the number of significant digits, what is the answer?
A. 50 meter-seconds
B. 46.773000000000 meter-seconds
C. 46.8 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 +/- 1 grams measures a mass of 773 grams and a storage container with a precision of +/- 0.4 liters reads 721.3 liters when measuring a volume. After dividing the numbers your calculator yields the output 1.071676140302. How would this answer look if we rounded it with the appropriate level of precision?
A. 1.071676140302 grams/liter
B. 1.072 grams/liter
C. 1.07 grams/liter
D. 1 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 rangefinder with a precision of +/- 0.0003 meters measures a distance of 0.0092 meters and a stopwatch with a precision of +/- 0.4 seconds measures a duration as 0.1 seconds. You divide the numbers with a calculator and get the solution 0.092000000000. How can we write this solution to the right number of significant digits?
A. 0.09 meters/second
B. 0.092000000000 meters/second
C. 0.1 meters/second
Answer:


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

A measuring tape with a precision of +/- 0.04 meters measures a distance of 74.26 meters and a tape measure with a precision of +/- 0.003 meters reads 0.310 meters when measuring a distance between two different points. Using a calculator app, you divide the two values and get the output 239.548387096774. Write this output using the right number of significant digits.
A. 240
B. 239.548
C. 239.548387096774
D. 239.55
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 +/- 10 meters measures a distance of 840 meters and a hydraulic scale with a precision of +/- 3 grams measures a mass as 23 grams. Using a calculator app, you divide the former value by the latter and get the solution 36.521739130435. Using the appropriate level of precision, what is the answer?
A. 30 meters/gram
B. 36.521739130435 meters/gram
C. 37 meters/gram
D. 36.52 meters/gram
Answer:


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

A graduated cylinder with a precision of +/- 0.001 liters measures a volume of 0.047 liters and a measuring stick with a precision of +/- 0.03 meters reads 0.88 meters when measuring a distance. Your calculator app gives the solution 0.053409090909 when dividing the first number by the second number. If we write this solution to the correct level of precision, what is the result?
A. 0.05 liters/meter
B. 0.053409090909 liters/meter
C. 0.053 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 measuring rod with a precision of +/- 0.0004 meters measures a distance of 0.0022 meters and a tape measure with a precision of +/- 0.0003 meters reads 0.0007 meters when measuring a distance between two different points. Your computer yields the solution 3.142857142857 when dividing the two numbers. If we round this solution to the right level of precision, what is the answer?
A. 3.142857142857
B. 3
C. 3.1429
D. 3.1
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 +/- 2 liters measures a volume of 159 liters and a Biltmore stick with a precision of +/- 0.03 meters measures a distance as 2.09 meters. Using a calculator app, you divide the values and get the output 76.076555023923. How can we round this output to the appropriate level of precision?
A. 76 liters/meter
B. 76.076555023923 liters/meter
C. 76.1 liters/meter
D. 76.077 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).
---

An analytical balance with a precision of +/- 0.001 grams takes a measurement of 0.009 grams, and a chronometer with a precision of +/- 0.0004 seconds measures a duration as 0.0004 seconds. After dividing the values your calculator gives the output 22.500000000000. Report this output using the appropriate level of precision.
A. 22.500 grams/second
B. 22.500000000000 grams/second
C. 20 grams/second
D. 22.5 grams/second
Answer:


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

A radar-based method with a precision of +/- 30 meters takes a measurement of 88500 meters, and a timer with a precision of +/- 0.1 seconds reads 0.7 seconds when measuring a duration. Using a calculator, you multiply the numbers and get the output 61950.000000000000. Using the suitable number of significant digits, what is the answer?
A. 61950.000000000000 meter-seconds
B. 60000 meter-seconds
C. 61950 meter-seconds
D. 61950.0 meter-seconds
Answer:


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

A storage container with a precision of +/- 0.4 liters takes a measurement of 85.6 liters, and a meter stick with a precision of +/- 0.0004 meters reads 0.0001 meters when measuring a distance. Your calculator app yields the output 856000.000000000000 when dividing the first number by the second number. If we round this output to the proper number of significant digits, what is the answer?
A. 900000 liters/meter
B. 856000.000000000000 liters/meter
C. 856000.0 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 cathetometer with a precision of +/- 0.00004 meters takes a measurement of 0.00298 meters, and a measuring stick with a precision of +/- 0.4 meters reads 9.6 meters when measuring a distance between two different points. You multiply the former number by the latter with a calculator and get the output 0.028608000000. If we express this output to the correct level of precision, what is the answer?
A. 0.028608000000 meters^2
B. 0.029 meters^2
C. 0.03 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 +/- 1 meters takes a measurement of 1123 meters, and a radar-based method with a precision of +/- 3 meters reads 633 meters when measuring a distance between two different points. After dividing the two numbers your calculator produces the solution 1.774091627172. Report this solution using the right level of precision.
A. 1.774091627172
B. 1
C. 1.77
D. 1.774
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 +/- 0.01 meters takes a measurement of 0.35 meters, and a Biltmore stick with a precision of +/- 0.3 meters measures a distance between two different points as 0.1 meters. After dividing the two values your computer gives the solution 3.500000000000. When this solution is rounded to the correct level of precision, what do we get?
A. 3.5
B. 4
C. 3.500000000000
Answer:


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

A measuring flask with a precision of +/- 0.03 liters takes a measurement of 3.31 liters, and a balance with a precision of +/- 0.004 grams reads 0.369 grams when measuring a mass. After multiplying the values your calculator yields the solution 1.221390000000. If we report this solution properly with respect to the number of significant digits, what is the result?
A. 1.22 gram-liters
B. 1.221 gram-liters
C. 1.221390000000 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 ruler with a precision of +/- 0.0001 meters measures a distance of 0.9662 meters and a clickwheel with a precision of +/- 0.3 meters measures a distance between two different points as 858.3 meters. After dividing the first number by the second number your calculator yields the solution 0.001125713620. How would this result look if we rounded it with the appropriate number of significant digits?
A. 0.001126
B. 0.001125713620
C. 0.0011
Answer:


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

A measuring tape with a precision of +/- 0.4 meters measures a distance of 5.1 meters and a cathetometer with a precision of +/- 0.00001 meters measures a distance between two different points as 0.00751 meters. You divide the first value by the second value with a calculator and get the solution 679.094540612517. How would this answer look if we wrote it with the suitable level of precision?
A. 680
B. 679.09
C. 679.094540612517
D. 679.1
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 +/- 0.1 liters takes a measurement of 7.2 liters, and a clickwheel with a precision of +/- 0.03 meters reads 0.41 meters when measuring a distance. Your calculator app produces the solution 2.952000000000 when multiplying the two values. When this solution is reported to the suitable level of precision, what do we get?
A. 3.0 liter-meters
B. 2.95 liter-meters
C. 2.952000000000 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 storage container with a precision of +/- 20 liters takes a measurement of 2040 liters, and a caliper with a precision of +/- 0.02 meters measures a distance as 4.48 meters. After multiplying the numbers your computer yields the output 9139.200000000000. If we express this output suitably with respect to the level of precision, what is the answer?
A. 9140 liter-meters
B. 9139.200 liter-meters
C. 9139.200000000000 liter-meters
D. 9130 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 +/- 2 meters measures a distance of 2 meters and a balance with a precision of +/- 4 grams reads 492 grams when measuring a mass. You multiply the two values with a calculator and get the output 984.000000000000. Using the correct level of precision, what is the answer?
A. 1000 gram-meters
B. 984 gram-meters
C. 984.0 gram-meters
D. 984.000000000000 gram-meters
Answer:


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

A timer with a precision of +/- 0.003 seconds takes a measurement of 0.168 seconds, and a ruler with a precision of +/- 0.02 meters measures a distance as 90.94 meters. Using a calculator app, you divide the former value by the latter and get the solution 0.001847371894. When this solution is rounded to the right number of significant digits, what do we get?
A. 0.00185 seconds/meter
B. 0.002 seconds/meter
C. 0.001847371894 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 radar-based method with a precision of +/- 4 meters measures a distance of 774 meters and a meter stick with a precision of +/- 0.0001 meters reads 0.0458 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator and get the output 16899.563318777293. Round this output using the suitable number of significant digits.
A. 16899.563318777293
B. 16899.563
C. 16900
D. 16899
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 +/- 2 meters measures a distance of 434 meters and a hydraulic scale with a precision of +/- 0.01 grams measures a mass as 0.15 grams. After multiplying the two numbers your calculator app gives the solution 65.100000000000. When this solution is expressed to the correct number of significant digits, what do we get?
A. 65 gram-meters
B. 65.10 gram-meters
C. 65.100000000000 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 hydraulic scale with a precision of +/- 0.02 grams measures a mass of 24.03 grams and a timer with a precision of +/- 0.2 seconds measures a duration as 233.7 seconds. You divide the values with a computer and get the solution 0.102824133504. Using the suitable number of significant digits, what is the result?
A. 0.102824133504 grams/second
B. 0.1028 grams/second
C. 0.1 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 hydraulic scale with a precision of +/- 0.01 grams measures a mass of 0.04 grams and an analytical balance with a precision of +/- 0.2 grams measures a mass of a different object as 229.7 grams. You multiply the two numbers with a calculator and get the output 9.188000000000. Using the correct level of precision, what is the answer?
A. 9.188000000000 grams^2
B. 9 grams^2
C. 9.2 grams^2
Answer:


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

An opisometer with a precision of +/- 0.001 meters measures a distance of 0.660 meters and a timer with a precision of +/- 0.2 seconds reads 30.9 seconds when measuring a duration. You multiply the first value by the second value with a calculator app and get the solution 20.394000000000. How would this result look if we reported it with the correct number of significant digits?
A. 20.4 meter-seconds
B. 20.394000000000 meter-seconds
C. 20.394 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 odometer with a precision of +/- 2000 meters takes a measurement of 280000 meters, and a chronograph with a precision of +/- 0.2 seconds reads 69.2 seconds when measuring a duration. After dividing the former value by the latter your calculator gives the output 4046.242774566474. How would this result look if we reported it with the right number of significant digits?
A. 4046.243 meters/second
B. 4000 meters/second
C. 4050 meters/second
D. 4046.242774566474 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 balance with a precision of +/- 0.03 grams measures a mass of 0.46 grams and a stopwatch with a precision of +/- 0.002 seconds measures a duration as 0.066 seconds. You divide the former number by the latter with a computer and get the solution 6.969696969697. Round this solution using the right number of significant digits.
A. 7.0 grams/second
B. 6.97 grams/second
C. 6.969696969697 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 chronograph with a precision of +/- 0.1 seconds takes a measurement of 67.8 seconds, and a stadimeter with a precision of +/- 10 meters reads 32460 meters when measuring a distance. Your calculator app produces the solution 2200788.000000000000 when multiplying the two numbers. How can we express this solution to the proper number of significant digits?
A. 2200788.000 meter-seconds
B. 2200780 meter-seconds
C. 2200000 meter-seconds
D. 2200788.000000000000 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).
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A hydraulic scale with a precision of +/- 0.03 grams takes a measurement of 0.98 grams, and a spring scale with a precision of +/- 3000 grams measures a mass of a different object as 55000 grams. You multiply the numbers with a computer and get the output 53900.000000000000. When this output is expressed to the right number of significant digits, what do we get?
A. 53000 grams^2
B. 53900.00 grams^2
C. 54000 grams^2
D. 53900.000000000000 grams^2
Answer: