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

A radar-based method with a precision of +/- 2 meters measures a distance of 1 meters and a measuring tape with a precision of +/- 0.1 meters reads 9.9 meters when measuring a distance between two different points. Your calculator yields the solution 9.900000000000 when multiplying the numbers. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 9.9 meters^2
B. 9 meters^2
C. 9.900000000000 meters^2
D. 10 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 30 grams takes a measurement of 570 grams, and a spring scale with a precision of +/- 0.0004 grams measures a mass of a different object as 0.1451 grams. Your calculator gives the solution 82.707000000000 when multiplying the first number by the second number. How can we report this solution to the proper level of precision?
A. 82.707000000000 grams^2
B. 82.71 grams^2
C. 80 grams^2
D. 83 grams^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 takes a measurement of 0.097 liters, and a radar-based method with a precision of +/- 100 meters measures a distance as 210700 meters. After multiplying the two numbers your calculator gets the solution 20437.900000000000. If we write this solution properly with respect to the level of precision, what is the answer?
A. 20437.900000000000 liter-meters
B. 20400 liter-meters
C. 20437.90 liter-meters
D. 20000 liter-meters
Answer:


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

A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.0038 meters, and a meter stick with a precision of +/- 0.0001 meters reads 0.0008 meters when measuring a distance between two different points. After dividing the values your calculator app gives the solution 4.750000000000. Round this solution using the proper level of precision.
A. 5
B. 4.750000000000
C. 4.7500
D. 4.8
Answer:


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

A ruler with a precision of +/- 0.002 meters measures a distance of 0.812 meters and a measuring stick with a precision of +/- 0.01 meters reads 81.54 meters when measuring a distance between two different points. Using a computer, you divide the two numbers and get the output 0.009958302674. Using the right number of significant figures, what is the result?
A. 0.01
B. 0.010
C. 0.009958302674
D. 0.00996
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 1 meters measures a distance of 751 meters and a chronograph with a precision of +/- 0.001 seconds measures a duration as 0.032 seconds. After dividing the two numbers your calculator app gives the output 23468.750000000000. If we express this output suitably with respect to the number of significant figures, what is the result?
A. 23468.75 meters/second
B. 23468.750000000000 meters/second
C. 23000 meters/second
D. 23468 meters/second
Answer:


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

A storage container with a precision of +/- 40 liters takes a measurement of 6640 liters, and a ruler with a precision of +/- 0.0003 meters reads 0.0036 meters when measuring a distance. After multiplying the first number by the second number your calculator app yields the solution 23.904000000000. If we express this solution to the proper level of precision, what is the result?
A. 24 liter-meters
B. 20 liter-meters
C. 23.904000000000 liter-meters
D. 23.90 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 40 meters measures a distance of 930 meters and an opisometer with a precision of +/- 0.4 meters reads 886.3 meters when measuring a distance between two different points. Using a computer, you multiply the two values and get the output 824259.000000000000. How would this result look if we rounded it with the suitable level of precision?
A. 824250 meters^2
B. 820000 meters^2
C. 824259.00 meters^2
D. 824259.000000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.01 seconds takes a measurement of 4.06 seconds, and a cathetometer with a precision of +/- 0.00002 meters reads 0.00656 meters when measuring a distance. After multiplying the former value by the latter your calculator app gets the solution 0.026633600000. Report this solution using the appropriate level of precision.
A. 0.03 meter-seconds
B. 0.0266 meter-seconds
C. 0.027 meter-seconds
D. 0.026633600000 meter-seconds
Answer:


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

A storage container with a precision of +/- 30 liters takes a measurement of 240 liters, and a measuring tape with a precision of +/- 0.2 meters measures a distance as 19.1 meters. Your calculator gives the solution 12.565445026178 when dividing the first value by the second value. When this solution is written to the correct number of significant figures, what do we get?
A. 12.565445026178 liters/meter
B. 10 liters/meter
C. 12.57 liters/meter
D. 13 liters/meter
Answer:


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

A caliper with a precision of +/- 0.004 meters takes a measurement of 0.786 meters, and an opisometer with a precision of +/- 0.3 meters reads 368.1 meters when measuring a distance between two different points. After multiplying the first number by the second number your calculator app produces the solution 289.326600000000. If we express this solution to the appropriate level of precision, what is the answer?
A. 289.326600000000 meters^2
B. 289 meters^2
C. 289.3 meters^2
D. 289.327 meters^2
Answer:


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

A measuring flask with a precision of +/- 0.001 liters takes a measurement of 0.011 liters, and a stadimeter with a precision of +/- 20 meters reads 7330 meters when measuring a distance. Your calculator app gives the solution 80.630000000000 when multiplying the former value by the latter. How would this answer look if we reported it with the right level of precision?
A. 80.63 liter-meters
B. 80.630000000000 liter-meters
C. 80 liter-meters
D. 81 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 10 grams measures a mass of 860 grams and a clickwheel with a precision of +/- 0.4 meters reads 0.2 meters when measuring a distance. You multiply the first number by the second number with a computer and get the output 172.000000000000. If we round this output to the appropriate level of precision, what is the answer?
A. 172.0 gram-meters
B. 170 gram-meters
C. 172.000000000000 gram-meters
D. 200 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0004 meters measures a distance of 0.0366 meters and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.02033 seconds. Your calculator app yields the output 0.000744078000 when multiplying the two numbers. Report this output using the proper level of precision.
A. 0.001 meter-seconds
B. 0.000744 meter-seconds
C. 0.0007 meter-seconds
D. 0.000744078000 meter-seconds
Answer:


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

A coincidence telemeter with a precision of +/- 2 meters takes a measurement of 1334 meters, and a stopwatch with a precision of +/- 0.4 seconds measures a duration as 30.9 seconds. You multiply the former number by the latter with a computer and get the output 41220.600000000000. If we report this output to the suitable number of significant figures, what is the result?
A. 41220 meter-seconds
B. 41220.600 meter-seconds
C. 41200 meter-seconds
D. 41220.600000000000 meter-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.1 meters measures a distance of 75.4 meters and a measuring stick with a precision of +/- 0.02 meters reads 0.35 meters when measuring a distance between two different points. You multiply the former number by the latter with a calculator and get the output 26.390000000000. Express this output using the appropriate number of significant figures.
A. 26.39 meters^2
B. 26.4 meters^2
C. 26.390000000000 meters^2
D. 26 meters^2
Answer:


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

An analytical balance with a precision of +/- 0.0001 grams takes a measurement of 0.0696 grams, and a chronometer with a precision of +/- 0.0004 seconds reads 0.0390 seconds when measuring a duration. You multiply the former number by the latter with a computer and get the output 0.002714400000. Using the proper level of precision, what is the answer?
A. 0.003 gram-seconds
B. 0.0027 gram-seconds
C. 0.00271 gram-seconds
D. 0.002714400000 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.02 liters takes a measurement of 0.16 liters, and a meter stick with a precision of +/- 0.0004 meters measures a distance as 0.0001 meters. Your calculator app yields the output 1600.000000000000 when dividing the two numbers. When this output is rounded to the right number of significant figures, what do we get?
A. 2000 liters/meter
B. 1600.000000000000 liters/meter
C. 1600.00 liters/meter
D. 1600.0 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.4 meters takes a measurement of 40.3 meters, and an odometer with a precision of +/- 300 meters measures a distance between two different points as 392700 meters. Using a calculator app, you multiply the first value by the second value and get the solution 15825810.000000000000. How would this answer look if we wrote it with the right number of significant figures?
A. 15800000 meters^2
B. 15825800 meters^2
C. 15825810.000 meters^2
D. 15825810.000000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 1.069 meters and a coincidence telemeter with a precision of +/- 100 meters reads 8100 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator app produces the solution 8658.900000000000. When this solution is expressed to the right number of significant figures, what do we get?
A. 8658.90 meters^2
B. 8600 meters^2
C. 8658.900000000000 meters^2
D. 8700 meters^2
Answer:


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

A stadimeter with a precision of +/- 100 meters takes a measurement of 311100 meters, and a tape measure with a precision of +/- 0.0004 meters measures a distance between two different points as 0.0038 meters. You multiply the former value by the latter with a calculator app and get the solution 1182.180000000000. Write this solution using the right number of significant figures.
A. 1100 meters^2
B. 1182.18 meters^2
C. 1200 meters^2
D. 1182.180000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 meters takes a measurement of 3.747 meters, and a tape measure with a precision of +/- 0.001 meters measures a distance between two different points as 0.001 meters. After dividing the two values your calculator gets the output 3747.000000000000. If we report this output to the appropriate number of significant figures, what is the result?
A. 3747.0
B. 3747.000000000000
C. 3747.000
D. 4000
Answer:


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

An opisometer with a precision of +/- 0.02 meters takes a measurement of 0.99 meters, and a stadimeter with a precision of +/- 2 meters measures a distance between two different points as 584 meters. Your calculator gives the solution 578.160000000000 when multiplying the values. If we round this solution to the suitable number of significant figures, what is the result?
A. 578.160000000000 meters^2
B. 578.16 meters^2
C. 580 meters^2
D. 578 meters^2
Answer:


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

An odometer with a precision of +/- 4000 meters takes a measurement of 250000 meters, and a stadimeter with a precision of +/- 40 meters measures a distance between two different points as 8340 meters. Your calculator app gets the solution 2085000000.000000000000 when multiplying the former number by the latter. How would this result look if we expressed it with the suitable number of significant figures?
A. 2080000000 meters^2
B. 2085000000 meters^2
C. 2085000000.000000000000 meters^2
D. 2085000000.000 meters^2
Answer:


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

A stadimeter with a precision of +/- 0.4 meters measures a distance of 1.9 meters and an analytical balance with a precision of +/- 0.01 grams reads 19.13 grams when measuring a mass. Using a calculator app, you divide the former number by the latter and get the solution 0.099320439101. If we report this solution to the right number of significant figures, what is the answer?
A. 0.10 meters/gram
B. 0.1 meters/gram
C. 0.099320439101 meters/gram
D. 0.099 meters/gram
Answer:


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

A storage container with a precision of +/- 0.1 liters takes a measurement of 28.3 liters, and a hydraulic scale with a precision of +/- 40 grams measures a mass as 4720 grams. You multiply the values with a calculator and get the solution 133576.000000000000. If we write this solution to the correct level of precision, what is the answer?
A. 133576.000 gram-liters
B. 133570 gram-liters
C. 134000 gram-liters
D. 133576.000000000000 gram-liters
Answer:


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

A biltmore stick with a precision of +/- 0.02 meters takes a measurement of 39.55 meters, and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0435 meters. Your calculator gets the solution 909.195402298851 when dividing the former value by the latter. Round this solution using the right number of significant figures.
A. 909.195402298851
B. 909
C. 909.195
D. 909.20
Answer:


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

A rangefinder with a precision of +/- 40 meters measures a distance of 1730 meters and a graduated cylinder with a precision of +/- 0.001 liters reads 0.041 liters when measuring a volume. Using a calculator, you divide the two values and get the solution 42195.121951219512. How would this result look if we reported it with the appropriate level of precision?
A. 42195.12 meters/liter
B. 42195.121951219512 meters/liter
C. 42190 meters/liter
D. 42000 meters/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 grams measures a mass of 4.471 grams and a ruler with a precision of +/- 0.04 meters measures a distance as 42.66 meters. Your calculator gives the solution 190.732860000000 when multiplying the two values. Round this solution using the appropriate level of precision.
A. 190.732860000000 gram-meters
B. 190.73 gram-meters
C. 190.7 gram-meters
D. 190.7329 gram-meters
Answer:


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

A rangefinder with a precision of +/- 0.004 meters measures a distance of 0.081 meters and a ruler with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0009 meters. Using a computer, you divide the numbers and get the solution 90.000000000000. How can we write this solution to the appropriate level of precision?
A. 90.0
B. 90
C. 90.000000000000
D. 90.000
Answer:


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

A spring scale with a precision of +/- 20 grams takes a measurement of 30 grams, and a balance with a precision of +/- 1 grams reads 790 grams when measuring a mass of a different object. Your calculator app yields the solution 23700.000000000000 when multiplying the numbers. Using the appropriate level of precision, what is the result?
A. 20000 grams^2
B. 23700.000000000000 grams^2
C. 23700.0 grams^2
D. 23700 grams^2
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 15300 meters, and a stadimeter with a precision of +/- 300 meters reads 393800 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator gives the solution 6025140000.000000000000. If we express this solution properly with respect to the level of precision, what is the answer?
A. 6025140000.000 meters^2
B. 6025140000 meters^2
C. 6030000000 meters^2
D. 6025140000.000000000000 meters^2
Answer:


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

A measuring tape with a precision of +/- 0.4 meters measures a distance of 5.4 meters and a radar-based method with a precision of +/- 10 meters measures a distance between two different points as 4940 meters. You multiply the former value by the latter with a calculator app and get the solution 26676.000000000000. If we round this solution to the right level of precision, what is the answer?
A. 26676.00 meters^2
B. 26670 meters^2
C. 27000 meters^2
D. 26676.000000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.0004 meters takes a measurement of 0.0277 meters, and a cathetometer with a precision of +/- 0.0002 meters reads 0.0048 meters when measuring a distance between two different points. Your computer gets the solution 5.770833333333 when dividing the former number by the latter. Report this solution using the proper number of significant figures.
A. 5.8
B. 5.77
C. 5.7708
D. 5.770833333333
Answer:


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

A biltmore stick with a precision of +/- 0.02 meters takes a measurement of 71.11 meters, and a storage container with a precision of +/- 20 liters reads 510 liters when measuring a volume. You multiply the former value by the latter with a calculator app and get the solution 36266.100000000000. How can we write this solution to the right number of significant figures?
A. 36266.10 liter-meters
B. 36000 liter-meters
C. 36266.100000000000 liter-meters
D. 36260 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.004 seconds takes a measurement of 0.004 seconds, and a spring scale with a precision of +/- 300 grams reads 430400 grams when measuring a mass. You multiply the former value by the latter with a calculator and get the solution 1721.600000000000. If we write this solution to the correct number of significant figures, what is the answer?
A. 2000 gram-seconds
B. 1700 gram-seconds
C. 1721.6 gram-seconds
D. 1721.600000000000 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 3 grams measures a mass of 8783 grams and a caliper with a precision of +/- 0.04 meters reads 18.83 meters when measuring a distance. You multiply the first value by the second value with a calculator app and get the solution 165383.890000000000. How would this result look if we wrote it with the appropriate level of precision?
A. 165383.8900 gram-meters
B. 165400 gram-meters
C. 165383.890000000000 gram-meters
D. 165383 gram-meters
Answer:


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

A coincidence telemeter with a precision of +/- 4 meters measures a distance of 5759 meters and a radar-based method with a precision of +/- 2 meters reads 2329 meters when measuring a distance between two different points. Your computer yields the solution 13412711.000000000000 when multiplying the first value by the second value. When this solution is expressed to the right number of significant figures, what do we get?
A. 13412711 meters^2
B. 13412711.000000000000 meters^2
C. 13410000 meters^2
D. 13412711.0000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 1000 grams takes a measurement of 65000 grams, and a rangefinder with a precision of +/- 0.3 meters reads 6.2 meters when measuring a distance. Using a calculator, you multiply the former value by the latter and get the output 403000.000000000000. When this output is written to the suitable number of significant figures, what do we get?
A. 403000.000000000000 gram-meters
B. 403000 gram-meters
C. 403000.00 gram-meters
D. 400000 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.03 grams measures a mass of 8.61 grams and a radar-based method with a precision of +/- 100 meters reads 900 meters when measuring a distance. You multiply the two numbers with a computer and get the output 7749.000000000000. Using the proper number of significant figures, what is the answer?
A. 7749.0 gram-meters
B. 7749.000000000000 gram-meters
C. 7700 gram-meters
D. 8000 gram-meters
Answer:


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

A graduated cylinder with a precision of +/- 0.004 liters measures a volume of 2.336 liters and a ruler with a precision of +/- 0.004 meters reads 0.005 meters when measuring a distance. After dividing the first value by the second value your calculator gets the output 467.200000000000. How can we report this output to the correct number of significant figures?
A. 467.200000000000 liters/meter
B. 467.2 liters/meter
C. 500 liters/meter
D. 467.200 liters/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 400 meters takes a measurement of 9300 meters, and a stadimeter with a precision of +/- 0.2 meters measures a distance between two different points as 232.6 meters. Your computer gets the solution 2163180.000000000000 when multiplying the former number by the latter. When this solution is reported to the correct level of precision, what do we get?
A. 2163100 meters^2
B. 2163180.00 meters^2
C. 2200000 meters^2
D. 2163180.000000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 589.1 seconds, and a hydraulic scale with a precision of +/- 2000 grams reads 388000 grams when measuring a mass. Using a calculator app, you multiply the numbers and get the solution 228570800.000000000000. If we express this solution to the right number of significant figures, what is the answer?
A. 229000000 gram-seconds
B. 228570800.000000000000 gram-seconds
C. 228570000 gram-seconds
D. 228570800.000 gram-seconds
Answer:


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

A measuring tape with a precision of +/- 0.3 meters takes a measurement of 50.8 meters, and a tape measure with a precision of +/- 0.0004 meters reads 0.0492 meters when measuring a distance between two different points. You divide the two values with a computer and get the output 1032.520325203252. How can we write this output to the suitable level of precision?
A. 1032.5
B. 1030
C. 1032.520325203252
D. 1032.520
Answer:


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

A stopwatch with a precision of +/- 0.002 seconds takes a measurement of 0.099 seconds, and a spring scale with a precision of +/- 4 grams measures a mass as 5736 grams. After multiplying the former value by the latter your computer yields the output 567.864000000000. Report this output using the proper level of precision.
A. 567.864000000000 gram-seconds
B. 567 gram-seconds
C. 567.86 gram-seconds
D. 570 gram-seconds
Answer:


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

A storage container with a precision of +/- 30 liters measures a volume of 56610 liters and a tape measure with a precision of +/- 0.001 meters reads 9.461 meters when measuring a distance. After dividing the former value by the latter your calculator app produces the solution 5983.511256738188. If we express this solution suitably with respect to the level of precision, what is the result?
A. 5980 liters/meter
B. 5983.511256738188 liters/meter
C. 5984 liters/meter
D. 5983.5113 liters/meter
Answer:


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

A coincidence telemeter with a precision of +/- 2 meters measures a distance of 60 meters and a balance with a precision of +/- 0.003 grams measures a mass as 0.381 grams. Your calculator produces the solution 157.480314960630 when dividing the two numbers. How can we write this solution to the right number of significant figures?
A. 160 meters/gram
B. 157.48 meters/gram
C. 157.480314960630 meters/gram
D. 157 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 1800 grams, and a stopwatch with a precision of +/- 0.001 seconds measures a duration as 7.893 seconds. Your calculator gives the output 14207.400000000000 when multiplying the values. How can we round this output to the proper level of precision?
A. 14000 gram-seconds
B. 14200 gram-seconds
C. 14207.400000000000 gram-seconds
D. 14207.40 gram-seconds
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 2 grams measures a mass of 85 grams and a measuring stick with a precision of +/- 0.03 meters measures a distance as 0.02 meters. After dividing the numbers your calculator app gets the output 4250.000000000000. How would this result look if we rounded it with the right number of significant figures?
A. 4250.000000000000 grams/meter
B. 4250.0 grams/meter
C. 4250 grams/meter
D. 4000 grams/meter
Answer:


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

An odometer with a precision of +/- 1000 meters takes a measurement of 76000 meters, and a measuring stick with a precision of +/- 0.003 meters measures a distance between two different points as 0.008 meters. Your calculator app yields the solution 9500000.000000000000 when dividing the former value by the latter. If we express this solution correctly with respect to the level of precision, what is the answer?
A. 9500000.0
B. 10000000
C. 9500000.000000000000
D. 9500000
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.002 meters takes a measurement of 0.005 meters, and a balance with a precision of +/- 0.004 grams measures a mass as 0.069 grams. Using a calculator, you divide the first value by the second value and get the output 0.072463768116. If we round this output appropriately with respect to the level of precision, what is the answer?
A. 0.07 meters/gram
B. 0.1 meters/gram
C. 0.072 meters/gram
D. 0.072463768116 meters/gram
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.00004 seconds measures a duration of 0.05462 seconds and a measuring tape with a precision of +/- 0.2 meters reads 93.7 meters when measuring a distance. Using a calculator app, you multiply the numbers and get the output 5.117894000000. If we write this output to the right number of significant figures, what is the answer?
A. 5.1 meter-seconds
B. 5.12 meter-seconds
C. 5.117894000000 meter-seconds
D. 5.118 meter-seconds
Answer:


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

A chronograph with a precision of +/- 0.2 seconds takes a measurement of 85.7 seconds, and a ruler with a precision of +/- 0.01 meters measures a distance as 0.19 meters. After dividing the two numbers your calculator app yields the solution 451.052631578947. How can we write this solution to the suitable number of significant figures?
A. 451.1 seconds/meter
B. 451.05 seconds/meter
C. 450 seconds/meter
D. 451.052631578947 seconds/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 2 meters and a radar-based method with a precision of +/- 20 meters reads 70 meters when measuring a distance between two different points. Your computer gets the output 140.000000000000 when multiplying the first value by the second value. How can we report this output to the suitable level of precision?
A. 140 meters^2
B. 100 meters^2
C. 140.0 meters^2
D. 140.000000000000 meters^2
Answer:


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

A measuring rod with a precision of +/- 0.04 meters takes a measurement of 49.75 meters, and a meter stick with a precision of +/- 0.0003 meters reads 0.0234 meters when measuring a distance between two different points. Your computer produces the output 2126.068376068376 when dividing the first value by the second value. How can we express this output to the right number of significant figures?
A. 2126.07
B. 2130
C. 2126.068376068376
D. 2126.068
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 0.525 meters, and a chronometer with a precision of +/- 0.00002 seconds reads 0.00013 seconds when measuring a duration. After dividing the former number by the latter your calculator app gets the solution 4038.461538461538. How can we express this solution to the correct number of significant figures?
A. 4000 meters/second
B. 4038.462 meters/second
C. 4038.46 meters/second
D. 4038.461538461538 meters/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 10 grams takes a measurement of 960 grams, and a measuring flask with a precision of +/- 0.03 liters measures a volume as 0.83 liters. Using a calculator, you divide the first value by the second value and get the solution 1156.626506024096. Using the appropriate level of precision, what is the result?
A. 1156.626506024096 grams/liter
B. 1200 grams/liter
C. 1156.63 grams/liter
D. 1150 grams/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 30 meters takes a measurement of 10 meters, and a graduated cylinder with a precision of +/- 0.002 liters reads 0.012 liters when measuring a volume. After dividing the two numbers your calculator app produces the output 833.333333333333. How can we report this output to the suitable level of precision?
A. 833.333333333333 meters/liter
B. 833.3 meters/liter
C. 800 meters/liter
D. 830 meters/liter
Answer:


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

A timer with a precision of +/- 0.003 seconds takes a measurement of 5.140 seconds, and a graduated cylinder with a precision of +/- 0.003 liters reads 0.010 liters when measuring a volume. You divide the former value by the latter with a calculator app and get the solution 514.000000000000. If we report this solution correctly with respect to the number of significant figures, what is the result?
A. 510 seconds/liter
B. 514.00 seconds/liter
C. 514.000000000000 seconds/liter
D. 514.000 seconds/liter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 400 meters measures a distance of 999600 meters and a measuring rod with a precision of +/- 0.003 meters reads 0.090 meters when measuring a distance between two different points. After dividing the two numbers your calculator app gets the output 11106666.666666666667. Write this output using the appropriate number of significant figures.
A. 11106666.67
B. 11000000
C. 11106600
D. 11106666.666666666667
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 0.1426 meters and a measuring rod with a precision of +/- 0.002 meters measures a distance between two different points as 0.002 meters. After dividing the first number by the second number your calculator gets the output 71.300000000000. If we write this output correctly with respect to the number of significant figures, what is the answer?
A. 71.300000000000
B. 71.300
C. 70
D. 71.3
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 0.1 meters measures a distance of 5.9 meters and a chronometer with a precision of +/- 0.00004 seconds reads 0.02244 seconds when measuring a duration. You divide the first number by the second number with a calculator and get the solution 262.923351158645. If we round this solution to the suitable number of significant figures, what is the result?
A. 260 meters/second
B. 262.92 meters/second
C. 262.923351158645 meters/second
D. 262.9 meters/second
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.002 liters measures a volume of 1.956 liters and an odometer with a precision of +/- 100 meters reads 919100 meters when measuring a distance. After multiplying the former value by the latter your computer gets the solution 1797759.600000000000. If we round this solution to the suitable number of significant figures, what is the result?
A. 1798000 liter-meters
B. 1797759.6000 liter-meters
C. 1797759.600000000000 liter-meters
D. 1797700 liter-meters
Answer:


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

A clickwheel with a precision of +/- 0.04 meters measures a distance of 48.97 meters and a chronometer with a precision of +/- 0.00004 seconds reads 0.00003 seconds when measuring a duration. Using a calculator, you divide the numbers and get the output 1632333.333333333333. If we express this output properly with respect to the number of significant figures, what is the answer?
A. 2000000 meters/second
B. 1632333.33 meters/second
C. 1632333.333333333333 meters/second
D. 1632333.3 meters/second
Answer:


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

A measuring flask with a precision of +/- 0.04 liters measures a volume of 8.10 liters and an odometer with a precision of +/- 1000 meters reads 7000 meters when measuring a distance. You multiply the former number by the latter with a computer and get the solution 56700.000000000000. How would this result look if we wrote it with the proper number of significant figures?
A. 60000 liter-meters
B. 56700.000000000000 liter-meters
C. 56700.0 liter-meters
D. 56000 liter-meters
Answer:


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

A radar-based method with a precision of +/- 4 meters takes a measurement of 2084 meters, and a storage container with a precision of +/- 2 liters reads 65 liters when measuring a volume. Using a calculator, you multiply the numbers and get the solution 135460.000000000000. If we report this solution appropriately with respect to the number of significant figures, what is the result?
A. 135460.000000000000 liter-meters
B. 135460 liter-meters
C. 135460.00 liter-meters
D. 140000 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.4 meters takes a measurement of 4.7 meters, and a measuring rod with a precision of +/- 0.01 meters measures a distance between two different points as 7.64 meters. After multiplying the two numbers your calculator app gives the output 35.908000000000. Round this output using the right level of precision.
A. 35.908000000000 meters^2
B. 35.9 meters^2
C. 35.91 meters^2
D. 36 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 40 meters takes a measurement of 5560 meters, and a storage container with a precision of +/- 0.3 liters measures a volume as 0.8 liters. You divide the two numbers with a calculator app and get the output 6950.000000000000. If we express this output properly with respect to the level of precision, what is the answer?
A. 7000 meters/liter
B. 6950 meters/liter
C. 6950.000000000000 meters/liter
D. 6950.0 meters/liter
Answer:


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

A hydraulic scale with a precision of +/- 2000 grams takes a measurement of 517000 grams, and a stadimeter with a precision of +/- 4 meters reads 83 meters when measuring a distance. Using a calculator, you multiply the numbers and get the solution 42911000.000000000000. How can we report this solution to the appropriate level of precision?
A. 42911000.00 gram-meters
B. 42911000.000000000000 gram-meters
C. 43000000 gram-meters
D. 42911000 gram-meters
Answer:


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

A storage container with a precision of +/- 2 liters takes a measurement of 44 liters, and a measuring stick with a precision of +/- 0.002 meters reads 0.031 meters when measuring a distance. Your calculator produces the output 1.364000000000 when multiplying the first number by the second number. Using the suitable level of precision, what is the answer?
A. 1 liter-meters
B. 1.4 liter-meters
C. 1.364000000000 liter-meters
D. 1.36 liter-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one 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 +/- 40 grams measures a mass of 42690 grams and a measuring tape with a precision of +/- 0.01 meters reads 0.84 meters when measuring a distance. Your calculator yields the solution 50821.428571428571 when dividing the numbers. How can we express this solution to the suitable number of significant figures?
A. 51000 grams/meter
B. 50821.428571428571 grams/meter
C. 50820 grams/meter
D. 50821.43 grams/meter
Answer:


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

An opisometer with a precision of +/- 0.01 meters takes a measurement of 0.32 meters, and a measuring flask with a precision of +/- 0.004 liters reads 0.003 liters when measuring a volume. You divide the two numbers with a computer and get the solution 106.666666666667. When this solution is expressed to the correct number of significant figures, what do we get?
A. 106.7 meters/liter
B. 106.666666666667 meters/liter
C. 100 meters/liter
D. 106.67 meters/liter
Answer:


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

An analytical balance with a precision of +/- 0.4 grams measures a mass of 98.4 grams and a measuring rod with a precision of +/- 0.001 meters measures a distance as 0.204 meters. After dividing the first number by the second number your calculator app produces the solution 482.352941176471. Using the suitable number of significant figures, what is the result?
A. 482.353 grams/meter
B. 482.352941176471 grams/meter
C. 482.4 grams/meter
D. 482 grams/meter
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 +/- 0.2 meters takes a measurement of 55.0 meters, and a stadimeter with a precision of +/- 40 meters reads 580 meters when measuring a distance between two different points. Your computer gives the output 31900.000000000000 when multiplying the values. If we express this output to the correct level of precision, what is the result?
A. 32000 meters^2
B. 31900.00 meters^2
C. 31900 meters^2
D. 31900.000000000000 meters^2
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 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 measures a distance of 9900 meters and an analytical balance with a precision of +/- 0.0001 grams reads 0.0190 grams when measuring a mass. Using a calculator, you multiply the former number by the latter and get the output 188.100000000000. When this output is reported to the suitable number of significant figures, what do we get?
A. 188.100000000000 gram-meters
B. 190 gram-meters
C. 100 gram-meters
D. 188.10 gram-meters
Answer: