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

A stadimeter with a precision of +/- 200 meters takes a measurement of 1000 meters, and an odometer with a precision of +/- 2000 meters measures a distance between two different points as 9697000 meters. Using a computer, you multiply the two values and get the output 9697000000.000000000000. How can we report this output to the right number of significant digits?
A. 9697000000.00 meters^2
B. 9700000000 meters^2
C. 9697000000 meters^2
D. 9697000000.000000000000 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 biltmore stick with a precision of +/- 0.2 meters measures a distance of 0.7 meters and a radar-based method with a precision of +/- 30 meters measures a distance between two different points as 5590 meters. You multiply the former value by the latter with a computer and get the solution 3913.000000000000. How would this answer look if we rounded it with the proper level of precision?
A. 3913.000000000000 meters^2
B. 3910 meters^2
C. 4000 meters^2
D. 3913.0 meters^2
Answer:


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

A radar-based method with a precision of +/- 100 meters takes a measurement of 3000 meters, and a measuring tape with a precision of +/- 0.01 meters measures a distance between two different points as 48.28 meters. You multiply the two values with a computer and get the output 144840.000000000000. Round this output using the correct number of significant digits.
A. 144840.00 meters^2
B. 140000 meters^2
C. 144840.000000000000 meters^2
D. 144800 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.04 meters takes a measurement of 7.41 meters, and a spring scale with a precision of +/- 0.004 grams measures a mass as 0.002 grams. You divide the former value by the latter with a computer and get the output 3705.000000000000. Report this output using the correct level of precision.
A. 3705.000000000000 meters/gram
B. 4000 meters/gram
C. 3705.00 meters/gram
D. 3705.0 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 stadimeter with a precision of +/- 3 meters measures a distance of 79 meters and an opisometer with a precision of +/- 0.001 meters reads 0.920 meters when measuring a distance between two different points. You divide the values with a calculator app and get the output 85.869565217391. If we write this output suitably with respect to the level of precision, what is the answer?
A. 85
B. 85.869565217391
C. 86
D. 85.87
Answer:


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

An analytical balance with a precision of +/- 10 grams takes a measurement of 20 grams, and a spring scale with a precision of +/- 0.0001 grams reads 0.0036 grams when measuring a mass of a different object. Using a calculator app, you divide the two numbers and get the output 5555.555555555556. If we report this output to the proper number of significant digits, what is the answer?
A. 5555.6
B. 5550
C. 5555.555555555556
D. 6000
Answer:


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

An opisometer with a precision of +/- 3 meters takes a measurement of 1534 meters, and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.004 meters. Using a computer, you divide the two values and get the output 383500.000000000000. How can we round this output to the correct number of significant digits?
A. 383500.0
B. 383500
C. 383500.000000000000
D. 400000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one 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 +/- 0.04 meters measures a distance of 0.98 meters and a clickwheel with a precision of +/- 0.3 meters reads 1.8 meters when measuring a distance between two different points. You multiply the values with a computer and get the solution 1.764000000000. If we express this solution to the right level of precision, what is the answer?
A. 1.8 meters^2
B. 1.76 meters^2
C. 1.764000000000 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 tape measure with a precision of +/- 0.001 meters takes a measurement of 7.733 meters, and a timer with a precision of +/- 0.002 seconds measures a duration as 0.374 seconds. Your calculator app yields the output 20.676470588235 when dividing the values. How would this result look if we wrote it with the correct number of significant digits?
A. 20.676 meters/second
B. 20.676470588235 meters/second
C. 20.7 meters/second
Answer:


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

A coincidence telemeter with a precision of +/- 3 meters measures a distance of 6 meters and a meter stick with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0765 meters. Your calculator app gets the output 78.431372549020 when dividing the two numbers. If we report this output to the correct level of precision, what is the answer?
A. 78
B. 78.431372549020
C. 78.4
D. 80
Answer:


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

An opisometer with a precision of +/- 0.03 meters takes a measurement of 0.93 meters, and a balance with a precision of +/- 10 grams reads 690 grams when measuring a mass. You multiply the former value by the latter with a calculator and get the solution 641.700000000000. Report this solution using the right level of precision.
A. 640 gram-meters
B. 641.700000000000 gram-meters
C. 641.70 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.001 liters takes a measurement of 8.466 liters, and a storage container with a precision of +/- 0.2 liters measures a volume of a different quantity of liquid as 96.8 liters. Your computer yields the output 0.087458677686 when dividing the first value by the second value. Using the appropriate level of precision, what is the result?
A. 0.087458677686
B. 0.0875
C. 0.1
D. 0.087
Answer:


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

A coincidence telemeter with a precision of +/- 20 meters measures a distance of 610 meters and a cathetometer with a precision of +/- 0.00003 meters measures a distance between two different points as 0.00083 meters. Your calculator produces the solution 734939.759036144578 when dividing the former value by the latter. When this solution is written to the correct level of precision, what do we get?
A. 734939.76
B. 734939.759036144578
C. 730000
D. 734930
Answer:


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

A radar-based method with a precision of +/- 20 meters measures a distance of 18810 meters and an odometer with a precision of +/- 100 meters reads 82700 meters when measuring a distance between two different points. Your calculator app gets the output 1555587000.000000000000 when multiplying the former value by the latter. Using the appropriate number of significant digits, what is the answer?
A. 1555587000 meters^2
B. 1560000000 meters^2
C. 1555587000.000000000000 meters^2
D. 1555587000.000 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 30 grams measures a mass of 95140 grams and a clickwheel with a precision of +/- 0.2 meters measures a distance as 5.9 meters. Using a computer, you multiply the first number by the second number and get the solution 561326.000000000000. When this solution is written to the proper level of precision, what do we get?
A. 561326.000000000000 gram-meters
B. 561320 gram-meters
C. 561326.00 gram-meters
D. 560000 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 cathetometer with a precision of +/- 0.0003 meters takes a measurement of 0.4101 meters, and a coincidence telemeter with a precision of +/- 0.3 meters reads 7.7 meters when measuring a distance between two different points. You divide the former value by the latter with a computer and get the output 0.053259740260. If we report this output properly with respect to the level of precision, what is the answer?
A. 0.05
B. 0.053
C. 0.053259740260
D. 0.1
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 meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.9892 meters, and a coincidence telemeter with a precision of +/- 1 meters reads 803 meters when measuring a distance between two different points. You divide the two values with a calculator app and get the output 0.001231880448. How can we round this output to the correct level of precision?
A. 0.001231880448
B. 0.001
C. 0.00123
Answer:


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

A storage container with a precision of +/- 10 liters measures a volume of 650 liters and a Biltmore stick with a precision of +/- 0.2 meters measures a distance as 243.3 meters. You multiply the former number by the latter with a computer and get the output 158145.000000000000. Express this output using the suitable number of significant digits.
A. 158145.000000000000 liter-meters
B. 158140 liter-meters
C. 160000 liter-meters
D. 158145.00 liter-meters
Answer:


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

A tape measure with a precision of +/- 0.004 meters takes a measurement of 0.058 meters, and a meter stick with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0099 meters. You divide the former number by the latter with a computer and get the output 5.858585858586. How can we report this output to the suitable level of precision?
A. 5.9
B. 5.859
C. 5.858585858586
D. 5.86
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.02 seconds measures a duration of 3.22 seconds and a rangefinder with a precision of +/- 0.0003 meters measures a distance as 0.0722 meters. Your calculator app gives the solution 44.598337950139 when dividing the two values. How can we report this solution to the right number of significant digits?
A. 44.6 seconds/meter
B. 44.598 seconds/meter
C. 44.598337950139 seconds/meter
D. 44.60 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 +/- 300 meters measures a distance of 347900 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0185 meters. After dividing the former value by the latter your computer yields the output 18805405.405405405405. If we report this output appropriately with respect to the number of significant digits, what is the result?
A. 18805405.405
B. 18805400
C. 18800000
D. 18805405.405405405405
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 70 meters, and a spring scale with a precision of +/- 3000 grams reads 1000 grams when measuring a mass. After dividing the former number by the latter your computer yields the output 0.070000000000. If we express this output to the proper number of significant digits, what is the answer?
A. 0.070000000000 meters/gram
B. 0.1 meters/gram
C. 0.07 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 caliper with a precision of +/- 0.01 meters measures a distance of 0.21 meters and a chronograph with a precision of +/- 0.001 seconds reads 3.497 seconds when measuring a duration. After dividing the first value by the second value your computer gets the solution 0.060051472691. When this solution is rounded to the correct number of significant digits, what do we get?
A. 0.060 meters/second
B. 0.06 meters/second
C. 0.060051472691 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 +/- 0.03 meters measures a distance of 0.04 meters and a measuring stick with a precision of +/- 0.2 meters reads 76.5 meters when measuring a distance between two different points. Using a computer, you multiply the values and get the output 3.060000000000. Using the correct level of precision, what is the result?
A. 3.1 meters^2
B. 3 meters^2
C. 3.060000000000 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.4 meters measures a distance of 782.1 meters and an analytical balance with a precision of +/- 0.0001 grams measures a mass as 0.0946 grams. You divide the former number by the latter with a computer and get the output 8267.441860465116. How can we report this output to the proper number of significant digits?
A. 8270 meters/gram
B. 8267.441860465116 meters/gram
C. 8267.442 meters/gram
D. 8267.4 meters/gram
Answer:


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

An analytical balance with a precision of +/- 3 grams takes a measurement of 7 grams, and a stadimeter with a precision of +/- 30 meters reads 110 meters when measuring a distance. You divide the two values with a calculator app and get the output 0.063636363636. If we report this output appropriately with respect to the number of significant digits, what is the result?
A. 0.06 grams/meter
B. 0.063636363636 grams/meter
C. 0.1 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 biltmore stick with a precision of +/- 0.04 meters takes a measurement of 3.86 meters, and a measuring flask with a precision of +/- 0.04 liters measures a volume as 0.02 liters. You multiply the former number by the latter with a calculator and get the solution 0.077200000000. When this solution is rounded to the proper number of significant digits, what do we get?
A. 0.08 liter-meters
B. 0.077200000000 liter-meters
C. 0.1 liter-meters
Answer:


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

A spring scale with a precision of +/- 4 grams takes a measurement of 8 grams, and a tape measure with a precision of +/- 0.002 meters reads 0.046 meters when measuring a distance. Using a calculator, you divide the former number by the latter and get the output 173.913043478261. How would this answer look if we wrote it with the proper number of significant digits?
A. 200 grams/meter
B. 173 grams/meter
C. 173.913043478261 grams/meter
D. 173.9 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 coincidence telemeter with a precision of +/- 4 meters takes a measurement of 9 meters, and an opisometer with a precision of +/- 2 meters measures a distance between two different points as 8 meters. After multiplying the values your calculator produces the output 72.000000000000. If we write this output suitably with respect to the level of precision, what is the result?
A. 72 meters^2
B. 72.000000000000 meters^2
C. 72.0 meters^2
D. 70 meters^2
Answer:


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

A spring scale with a precision of +/- 0.2 grams measures a mass of 259.4 grams and a cathetometer with a precision of +/- 0.0003 meters measures a distance as 0.0010 meters. You divide the two numbers with a computer and get the solution 259400.000000000000. If we round this solution properly with respect to the level of precision, what is the result?
A. 260000 grams/meter
B. 259400.0 grams/meter
C. 259400.000000000000 grams/meter
D. 259400.00 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 coincidence telemeter with a precision of +/- 1 meters takes a measurement of 6 meters, and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 4.878 seconds. You divide the former value by the latter with a calculator app and get the solution 1.230012300123. How can we report this solution to the correct level of precision?
A. 1.2 meters/second
B. 1 meters/second
C. 1.230012300123 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 +/- 0.3 liters takes a measurement of 814.2 liters, and an odometer with a precision of +/- 400 meters measures a distance as 700 meters. After multiplying the numbers your calculator app gets the solution 569940.000000000000. When this solution is expressed to the proper number of significant digits, what do we get?
A. 569940.000000000000 liter-meters
B. 569900 liter-meters
C. 569940.0 liter-meters
D. 600000 liter-meters
Answer:


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

A tape measure with a precision of +/- 0.0003 meters measures a distance of 0.7877 meters and an opisometer with a precision of +/- 0.1 meters measures a distance between two different points as 800.1 meters. After multiplying the numbers your computer gets the output 630.238770000000. If we report this output to the suitable level of precision, what is the answer?
A. 630.2388 meters^2
B. 630.238770000000 meters^2
C. 630.2 meters^2
Answer:


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

A balance with a precision of +/- 100 grams measures a mass of 392600 grams and a graduated cylinder with a precision of +/- 0.004 liters reads 0.085 liters when measuring a volume. Your computer produces the solution 33371.000000000000 when multiplying the former number by the latter. How can we round this solution to the right number of significant digits?
A. 33371.000000000000 gram-liters
B. 33371.00 gram-liters
C. 33000 gram-liters
D. 33300 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 cathetometer with a precision of +/- 0.0002 meters takes a measurement of 0.0066 meters, and a clickwheel with a precision of +/- 0.001 meters reads 9.620 meters when measuring a distance between two different points. You divide the numbers with a calculator app and get the output 0.000686070686. Round this output using the right number of significant digits.
A. 0.000686070686
B. 0.001
C. 0.00069
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.3 seconds takes a measurement of 0.1 seconds, and a chronograph with a precision of +/- 0.004 seconds measures a duration of a different event as 0.066 seconds. You divide the two numbers with a calculator app and get the output 1.515151515152. Using the right level of precision, what is the answer?
A. 2
B. 1.515151515152
C. 1.5
Answer:


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

A measuring flask with a precision of +/- 0.003 liters takes a measurement of 2.667 liters, and a radar-based method with a precision of +/- 40 meters reads 40 meters when measuring a distance. Using a calculator, you multiply the first value by the second value and get the solution 106.680000000000. Report this solution using the right number of significant digits.
A. 106.7 liter-meters
B. 100 liter-meters
C. 106.680000000000 liter-meters
Answer:


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

A measuring tape with a precision of +/- 0.4 meters measures a distance of 68.0 meters and a rangefinder with a precision of +/- 10 meters reads 2740 meters when measuring a distance between two different points. Using a calculator app, you multiply the two values and get the output 186320.000000000000. How can we express this output to the right level of precision?
A. 186000 meters^2
B. 186320 meters^2
C. 186320.000000000000 meters^2
D. 186320.000 meters^2
Answer:


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

A stadimeter with a precision of +/- 200 meters measures a distance of 5700 meters and a meter stick with a precision of +/- 0.0004 meters reads 0.0237 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator app and get the output 240506.329113924051. Report this output using the right level of precision.
A. 240506.329113924051
B. 240500
C. 240506.33
D. 240000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.97 meters, and a storage container with a precision of +/- 20 liters measures a volume as 96900 liters. Using a computer, you multiply the two numbers and get the output 93993.000000000000. Using the proper number of significant digits, what is the answer?
A. 93990 liter-meters
B. 94000 liter-meters
C. 93993.00 liter-meters
D. 93993.000000000000 liter-meters
Answer:


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

A biltmore stick with a precision of +/- 0.01 meters takes a measurement of 0.80 meters, and a hydraulic scale with a precision of +/- 0.4 grams measures a mass as 27.9 grams. Using a calculator app, you divide the first value by the second value and get the output 0.028673835125. Using the appropriate number of significant digits, what is the result?
A. 0.028673835125 meters/gram
B. 0.029 meters/gram
C. 0.03 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 tape measure with a precision of +/- 0.002 meters measures a distance of 0.448 meters and a measuring flask with a precision of +/- 0.002 liters measures a volume as 6.513 liters. After dividing the first number by the second number your calculator app gets the output 0.068785505911. When this output is written to the appropriate level of precision, what do we get?
A. 0.0688 meters/liter
B. 0.069 meters/liter
C. 0.068785505911 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 chronograph with a precision of +/- 0.2 seconds takes a measurement of 0.4 seconds, and a measuring tape with a precision of +/- 0.01 meters measures a distance as 6.99 meters. Your calculator app gives the solution 2.796000000000 when multiplying the two numbers. Using the correct number of significant digits, what is the answer?
A. 3 meter-seconds
B. 2.8 meter-seconds
C. 2.796000000000 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 clickwheel with a precision of +/- 0.02 meters takes a measurement of 0.60 meters, and a spring scale with a precision of +/- 0.0003 grams reads 0.0017 grams when measuring a mass. Your calculator app yields the solution 352.941176470588 when dividing the numbers. If we express this solution to the appropriate number of significant digits, what is the result?
A. 352.941176470588 meters/gram
B. 352.94 meters/gram
C. 350 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 rangefinder with a precision of +/- 0.2 meters measures a distance of 356.4 meters and a rangefinder with a precision of +/- 4 meters measures a distance between two different points as 7 meters. Using a calculator, you multiply the first number by the second number and get the output 2494.800000000000. If we write this output to the appropriate level of precision, what is the answer?
A. 2494.8 meters^2
B. 2000 meters^2
C. 2494 meters^2
D. 2494.800000000000 meters^2
Answer:


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

A balance with a precision of +/- 40 grams takes a measurement of 360 grams, and a rangefinder with a precision of +/- 0.001 meters reads 0.719 meters when measuring a distance. Using a calculator, you divide the former number by the latter and get the solution 500.695410292072. If we write this solution to the suitable level of precision, what is the answer?
A. 500 grams/meter
B. 500.695410292072 grams/meter
C. 500.70 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 hydraulic scale with a precision of +/- 400 grams measures a mass of 1000 grams and a meter stick with a precision of +/- 0.0003 meters measures a distance as 0.1604 meters. Using a computer, you multiply the first number by the second number and get the output 160.400000000000. When this output is written to the suitable number of significant digits, what do we get?
A. 160.400000000000 gram-meters
B. 160.40 gram-meters
C. 100 gram-meters
D. 160 gram-meters
Answer:


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

An odometer with a precision of +/- 4000 meters measures a distance of 4000 meters and an analytical balance with a precision of +/- 0.0002 grams measures a mass as 0.9355 grams. Your calculator produces the solution 4275.788348476750 when dividing the two values. When this solution is rounded to the right level of precision, what do we get?
A. 4000 meters/gram
B. 4275.8 meters/gram
C. 4275.788348476750 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 tape measure with a precision of +/- 0.002 meters takes a measurement of 0.092 meters, and a chronograph with a precision of +/- 0.2 seconds measures a duration as 6.7 seconds. You divide the first value by the second value with a computer and get the solution 0.013731343284. If we express this solution to the proper level of precision, what is the answer?
A. 0.013731343284 meters/second
B. 0.014 meters/second
C. 0.01 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 stick with a precision of +/- 0.003 meters measures a distance of 0.798 meters and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.440 liters. You divide the first number by the second number with a calculator and get the solution 1.813636363636. When this solution is written to the appropriate number of significant digits, what do we get?
A. 1.814 meters/liter
B. 1.813636363636 meters/liter
C. 1.81 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 timer with a precision of +/- 0.001 seconds measures a duration of 0.012 seconds and a cathetometer with a precision of +/- 0.0004 meters measures a distance as 0.0006 meters. Using a calculator app, you divide the former number by the latter and get the solution 20.000000000000. How can we round this solution to the correct level of precision?
A. 20.000 seconds/meter
B. 20.0 seconds/meter
C. 20.000000000000 seconds/meter
D. 20 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 tape measure with a precision of +/- 0.003 meters takes a measurement of 7.489 meters, and a coincidence telemeter with a precision of +/- 0.3 meters reads 6.1 meters when measuring a distance between two different points. Using a computer, you multiply the two values and get the solution 45.682900000000. If we express this solution properly with respect to the number of significant digits, what is the result?
A. 45.68 meters^2
B. 45.7 meters^2
C. 45.682900000000 meters^2
D. 46 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.01 liters takes a measurement of 38.60 liters, and a measuring flask with a precision of +/- 0.02 liters measures a volume of a different quantity of liquid as 2.03 liters. Using a computer, you multiply the numbers and get the output 78.358000000000. When this output is written to the correct level of precision, what do we get?
A. 78.4 liters^2
B. 78.358 liters^2
C. 78.36 liters^2
D. 78.358000000000 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 tape measure with a precision of +/- 0.004 meters measures a distance of 0.945 meters and a stadimeter with a precision of +/- 0.4 meters reads 32.2 meters when measuring a distance between two different points. You divide the first value by the second value with a computer and get the solution 0.029347826087. Report this solution using the right level of precision.
A. 0.029347826087
B. 0.0293
C. 0.029
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 8.6 meters and a balance with a precision of +/- 3 grams reads 36 grams when measuring a mass. Your calculator app yields the output 309.600000000000 when multiplying the first number by the second number. If we report this output correctly with respect to the number of significant digits, what is the result?
A. 309.600000000000 gram-meters
B. 309 gram-meters
C. 310 gram-meters
D. 309.60 gram-meters
Answer:


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

A measuring rod with a precision of +/- 0.02 meters takes a measurement of 0.10 meters, and a stopwatch with a precision of +/- 0.1 seconds measures a duration as 12.1 seconds. After multiplying the two numbers your calculator yields the output 1.210000000000. Using the correct level of precision, what is the answer?
A. 1.210000000000 meter-seconds
B. 1.2 meter-seconds
C. 1.21 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 stadimeter with a precision of +/- 2 meters takes a measurement of 841 meters, and an odometer with a precision of +/- 400 meters reads 98600 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 0.008529411765. If we report this solution to the correct number of significant digits, what is the answer?
A. 0.00853
B. 0.008529411765
C. 0.009
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.04 seconds takes a measurement of 2.65 seconds, and a measuring tape with a precision of +/- 0.02 meters reads 0.30 meters when measuring a distance. Using a calculator, you divide the two values and get the solution 8.833333333333. How would this result look if we rounded it with the right level of precision?
A. 8.8 seconds/meter
B. 8.83 seconds/meter
C. 8.833333333333 seconds/meter
Answer:


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

A measuring tape with a precision of +/- 0.04 meters measures a distance of 0.08 meters and a balance with a precision of +/- 20 grams reads 9140 grams when measuring a mass. Your computer gets the solution 731.200000000000 when multiplying the former value by the latter. When this solution is expressed to the correct number of significant digits, what do we get?
A. 731.2 gram-meters
B. 731.200000000000 gram-meters
C. 730 gram-meters
D. 700 gram-meters
Answer:


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

An odometer with a precision of +/- 100 meters measures a distance of 900 meters and a balance with a precision of +/- 0.0001 grams reads 0.0007 grams when measuring a mass. Using a calculator app, you divide the first number by the second number and get the output 1285714.285714285714. If we round this output suitably with respect to the number of significant digits, what is the result?
A. 1000000 meters/gram
B. 1285700 meters/gram
C. 1285714.285714285714 meters/gram
D. 1285714.3 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 measuring tape with a precision of +/- 0.2 meters takes a measurement of 1.0 meters, and a meter stick with a precision of +/- 0.0003 meters reads 0.0065 meters when measuring a distance between two different points. You multiply the values with a calculator app and get the output 0.006500000000. If we report this output correctly with respect to the level of precision, what is the result?
A. 0.0065 meters^2
B. 0.01 meters^2
C. 0.006500000000 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0001 meters takes a measurement of 0.0686 meters, and a clickwheel with a precision of +/- 0.004 meters measures a distance between two different points as 0.051 meters. Your calculator app yields the output 1.345098039216 when dividing the former value by the latter. How would this result look if we rounded it with the right level of precision?
A. 1.345
B. 1.345098039216
C. 1.35
D. 1.3
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.0002 seconds measures a duration of 0.9703 seconds and a rangefinder with a precision of +/- 0.001 meters reads 0.098 meters when measuring a distance. Using a calculator, you multiply the values and get the solution 0.095089400000. If we report this solution to the suitable number of significant digits, what is the result?
A. 0.095 meter-seconds
B. 0.095089400000 meter-seconds
C. 0.10 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 graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 0.993 liters, and a hydraulic scale with a precision of +/- 1 grams reads 35 grams when measuring a mass. Your calculator gives the output 0.028371428571 when dividing the first value by the second value. How can we round this output to the correct level of precision?
A. 0.028 liters/gram
B. 0.03 liters/gram
C. 0.028371428571 liters/gram
Answer:


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

A hydraulic scale with a precision of +/- 3000 grams takes a measurement of 88000 grams, and a storage container with a precision of +/- 20 liters reads 60 liters when measuring a volume. After multiplying the first number by the second number your calculator app gets the solution 5280000.000000000000. How can we round this solution to the proper level of precision?
A. 5000000 gram-liters
B. 5280000.0 gram-liters
C. 5280000 gram-liters
D. 5280000.000000000000 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 radar-based method with a precision of +/- 200 meters measures a distance of 72200 meters and a rangefinder with a precision of +/- 0.0002 meters reads 0.0275 meters when measuring a distance between two different points. Your computer gives the output 2625454.545454545455 when dividing the former value by the latter. If we write this output to the appropriate level of precision, what is the result?
A. 2625454.545454545455
B. 2625400
C. 2625454.545
D. 2630000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 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 +/- 0.01 grams measures a mass of 9.32 grams and a measuring rod with a precision of +/- 0.001 meters measures a distance as 0.839 meters. Using a computer, you divide the values and get the output 11.108462455304. How would this result look if we rounded it with the suitable number of significant digits?
A. 11.108 grams/meter
B. 11.11 grams/meter
C. 11.108462455304 grams/meter
D. 11.1 grams/meter
Answer:


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

A measuring flask with a precision of +/- 0.004 liters measures a volume of 0.020 liters and a stadimeter with a precision of +/- 300 meters reads 364800 meters when measuring a distance. Using a computer, you multiply the former number by the latter and get the output 7296.000000000000. If we write this output correctly with respect to the number of significant digits, what is the answer?
A. 7296.000000000000 liter-meters
B. 7300 liter-meters
C. 7200 liter-meters
D. 7296.00 liter-meters
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 12.7 meters and a storage container with a precision of +/- 0.1 liters reads 858.1 liters when measuring a volume. Your calculator app produces the output 10897.870000000000 when multiplying the first number by the second number. If we report this output to the correct level of precision, what is the result?
A. 10897.870 liter-meters
B. 10900 liter-meters
C. 10897.9 liter-meters
D. 10897.870000000000 liter-meters
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 567.4 meters and a chronograph with a precision of +/- 0.04 seconds reads 0.05 seconds when measuring a duration. Your computer yields the solution 11348.000000000000 when dividing the two numbers. Using the correct number of significant digits, what is the answer?
A. 11348.0 meters/second
B. 10000 meters/second
C. 11348.000000000000 meters/second
Answer:


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

An analytical balance with a precision of +/- 400 grams takes a measurement of 50000 grams, and a coincidence telemeter with a precision of +/- 400 meters reads 4200 meters when measuring a distance. Your calculator app produces the output 210000000.000000000000 when multiplying the first number by the second number. If we report this output properly with respect to the number of significant digits, what is the answer?
A. 210000000.000000000000 gram-meters
B. 210000000.00 gram-meters
C. 210000000 gram-meters
Answer:


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

A balance with a precision of +/- 2 grams measures a mass of 585 grams and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 0.794 seconds. Using a computer, you multiply the values and get the solution 464.490000000000. If we round this solution suitably with respect to the number of significant digits, what is the answer?
A. 464 gram-seconds
B. 464.490 gram-seconds
C. 464.490000000000 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 biltmore stick with a precision of +/- 0.03 meters measures a distance of 94.40 meters and a ruler with a precision of +/- 0.02 meters reads 0.05 meters when measuring a distance between two different points. Your computer gives the output 4.720000000000 when multiplying the first number by the second number. When this output is reported to the correct number of significant digits, what do we get?
A. 4.7 meters^2
B. 5 meters^2
C. 4.72 meters^2
D. 4.720000000000 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 +/- 400 grams takes a measurement of 25200 grams, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 5.547 liters. After multiplying the first number by the second number your calculator app produces the output 139784.400000000000. If we express this output to the suitable level of precision, what is the answer?
A. 139784.400000000000 gram-liters
B. 139700 gram-liters
C. 140000 gram-liters
D. 139784.400 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).
---

An analytical balance with a precision of +/- 100 grams takes a measurement of 800 grams, and a stadimeter with a precision of +/- 3 meters measures a distance as 2 meters. Using a computer, you multiply the two numbers and get the solution 1600.000000000000. Round this solution using the right number of significant digits.
A. 1600.0 gram-meters
B. 2000 gram-meters
C. 1600.000000000000 gram-meters
D. 1600 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).
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A storage container with a precision of +/- 3 liters takes a measurement of 5181 liters, and a storage container with a precision of +/- 2 liters measures a volume of a different quantity of liquid as 4 liters. Your computer gives the solution 1295.250000000000 when dividing the former number by the latter. How would this answer look if we wrote it with the appropriate level of precision?
A. 1295.250000000000
B. 1000
C. 1295
D. 1295.2
Answer: