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 +/- 0.1 meters takes a measurement of 946.1 meters, and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0045 meters. Using a computer, you divide the former number by the latter and get the solution 210244.444444444444. If we report this solution to the right number of significant figures, what is the answer?
A. 210244.444444444444
B. 210244.44
C. 210000
D. 210244.4
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 +/- 300 meters takes a measurement of 14300 meters, and a meter stick with a precision of +/- 0.0002 meters reads 0.0637 meters when measuring a distance between two different points. After dividing the two values your computer gets the output 224489.795918367347. How can we report this output to the correct number of significant figures?
A. 224489.796
B. 224489.795918367347
C. 224000
D. 224400
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 +/- 0.004 meters takes a measurement of 2.003 meters, and a balance with a precision of +/- 0.004 grams measures a mass as 0.036 grams. Your computer gives the output 55.638888888889 when dividing the former number by the latter. If we round this output properly with respect to the number of significant figures, what is the answer?
A. 55.638888888889 meters/gram
B. 55.639 meters/gram
C. 55.64 meters/gram
D. 56 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 chronograph with a precision of +/- 0.4 seconds measures a duration of 479.8 seconds and a measuring stick with a precision of +/- 0.1 meters measures a distance as 2.7 meters. Using a computer, you multiply the numbers and get the output 1295.460000000000. If we express this output properly with respect to the number of significant figures, what is the result?
A. 1295.5 meter-seconds
B. 1295.46 meter-seconds
C. 1300 meter-seconds
D. 1295.460000000000 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 balance with a precision of +/- 10 grams measures a mass of 40 grams and a rangefinder with a precision of +/- 3 meters measures a distance as 592 meters. You multiply the two numbers with a calculator and get the output 23680.000000000000. Write this output using the appropriate number of significant figures.
A. 23680.0 gram-meters
B. 23680 gram-meters
C. 23680.000000000000 gram-meters
D. 20000 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 +/- 40 meters takes a measurement of 8790 meters, and a Biltmore stick with a precision of +/- 0.3 meters measures a distance between two different points as 0.5 meters. You divide the former value by the latter with a calculator and get the output 17580.000000000000. If we express this output suitably with respect to the number of significant figures, what is the answer?
A. 17580.000000000000
B. 17580.0
C. 20000
D. 17580
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 3 meters and a measuring flask with a precision of +/- 0.04 liters measures a volume as 9.93 liters. You multiply the two values with a calculator app and get the solution 29.790000000000. How can we write this solution to the appropriate number of significant figures?
A. 30 liter-meters
B. 29.8 liter-meters
C. 29 liter-meters
D. 29.790000000000 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 +/- 0.0002 meters measures a distance of 0.0999 meters and a ruler with a precision of +/- 0.3 meters measures a distance between two different points as 25.6 meters. After multiplying the two numbers your calculator gets the solution 2.557440000000. Express this solution using the correct number of significant figures.
A. 2.557 meters^2
B. 2.56 meters^2
C. 2.557440000000 meters^2
D. 2.6 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 opisometer with a precision of +/- 3 meters takes a measurement of 327 meters, and a measuring flask with a precision of +/- 0.02 liters measures a volume as 7.85 liters. After dividing the first number by the second number your computer gives the solution 41.656050955414. When this solution is reported to the appropriate number of significant figures, what do we get?
A. 41 meters/liter
B. 41.7 meters/liter
C. 41.656050955414 meters/liter
D. 41.656 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 rangefinder with a precision of +/- 0.04 meters takes a measurement of 0.17 meters, and a clickwheel with a precision of +/- 0.04 meters measures a distance between two different points as 0.03 meters. You divide the former number by the latter with a calculator app and get the solution 5.666666666667. When this solution is rounded to the right level of precision, what do we get?
A. 6
B. 5.666666666667
C. 5.7
D. 5.67
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 +/- 4 meters measures a distance of 895 meters and a storage container with a precision of +/- 0.3 liters reads 0.5 liters when measuring a volume. Your calculator produces the solution 447.500000000000 when multiplying the former number by the latter. Express this solution using the right level of precision.
A. 400 liter-meters
B. 447 liter-meters
C. 447.500000000000 liter-meters
D. 447.5 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.145 liters, and a caliper with a precision of +/- 0.02 meters reads 7.90 meters when measuring a distance. After dividing the values your calculator gives the output 0.018354430380. When this output is reported to the suitable level of precision, what do we get?
A. 0.0184 liters/meter
B. 0.018 liters/meter
C. 0.018354430380 liters/meter
D. 0.02 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 tape measure with a precision of +/- 0.003 meters measures a distance of 0.070 meters and a hydraulic scale with a precision of +/- 3 grams reads 71 grams when measuring a mass. After multiplying the first value by the second value your computer gives the solution 4.970000000000. Express this solution using the correct number of significant figures.
A. 4.970000000000 gram-meters
B. 4.97 gram-meters
C. 4 gram-meters
D. 5.0 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 timer with a precision of +/- 0.3 seconds measures a duration of 4.0 seconds and a coincidence telemeter with a precision of +/- 30 meters reads 7220 meters when measuring a distance. You multiply the first value by the second value with a computer and get the solution 28880.000000000000. If we report this solution properly with respect to the number of significant figures, what is the answer?
A. 28880.00 meter-seconds
B. 28880.000000000000 meter-seconds
C. 29000 meter-seconds
D. 28880 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 stadimeter with a precision of +/- 30 meters measures a distance of 10 meters and a measuring tape with a precision of +/- 0.01 meters reads 52.98 meters when measuring a distance between two different points. Your computer produces the output 529.800000000000 when multiplying the two numbers. If we report this output properly with respect to the number of significant figures, what is the result?
A. 529.8 meters^2
B. 520 meters^2
C. 529.800000000000 meters^2
D. 500 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 graduated cylinder with a precision of +/- 0.004 liters takes a measurement of 0.486 liters, and a ruler with a precision of +/- 0.001 meters measures a distance as 0.005 meters. Using a calculator, you divide the values and get the solution 97.200000000000. How can we write this solution to the appropriate level of precision?
A. 97.200 liters/meter
B. 97.200000000000 liters/meter
C. 100 liters/meter
D. 97.2 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 hydraulic scale with a precision of +/- 0.04 grams measures a mass of 0.02 grams and a spring scale with a precision of +/- 300 grams reads 437600 grams when measuring a mass of a different object. You multiply the numbers with a calculator app and get the solution 8752.000000000000. Using the correct number of significant figures, what is the result?
A. 8752.0 grams^2
B. 8700 grams^2
C. 8752.000000000000 grams^2
D. 9000 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 stadimeter with a precision of +/- 300 meters takes a measurement of 429600 meters, and a graduated cylinder with a precision of +/- 0.004 liters measures a volume as 0.014 liters. After dividing the two numbers your calculator app gets the solution 30685714.285714285714. Using the correct level of precision, what is the result?
A. 30685700 meters/liter
B. 30685714.285714285714 meters/liter
C. 30685714.29 meters/liter
D. 31000000 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 coincidence telemeter with a precision of +/- 200 meters measures a distance of 330900 meters and a hydraulic scale with a precision of +/- 0.0003 grams reads 0.0006 grams when measuring a mass. You multiply the numbers with a calculator app and get the output 198.540000000000. How would this answer look if we expressed it with the proper level of precision?
A. 198.540000000000 gram-meters
B. 200 gram-meters
C. 198.5 gram-meters
D. 100 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 measuring flask with a precision of +/- 0.01 liters measures a volume of 0.39 liters and a stadimeter with a precision of +/- 100 meters reads 66300 meters when measuring a distance. You multiply the two numbers with a computer and get the output 25857.000000000000. Using the proper number of significant figures, what is the result?
A. 25857.00 liter-meters
B. 25857.000000000000 liter-meters
C. 26000 liter-meters
D. 25800 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 +/- 300 meters measures a distance of 900 meters and an analytical balance with a precision of +/- 3 grams measures a mass as 17 grams. You multiply the former number by the latter with a calculator app and get the output 15300.000000000000. If we report this output to the proper number of significant figures, what is the answer?
A. 15300.0 gram-meters
B. 20000 gram-meters
C. 15300.000000000000 gram-meters
D. 15300 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 chronograph with a precision of +/- 0.03 seconds measures a duration of 49.59 seconds and a coincidence telemeter with a precision of +/- 1 meters reads 3196 meters when measuring a distance. Your calculator app produces the solution 158489.640000000000 when multiplying the former value by the latter. If we express this solution appropriately with respect to the number of significant figures, what is the answer?
A. 158489 meter-seconds
B. 158500 meter-seconds
C. 158489.640000000000 meter-seconds
D. 158489.6400 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 clickwheel with a precision of +/- 0.01 meters takes a measurement of 0.98 meters, and a rangefinder with a precision of +/- 0.002 meters reads 0.001 meters when measuring a distance between two different points. You divide the two numbers with a calculator and get the output 980.000000000000. How can we express this output to the correct level of precision?
A. 1000
B. 980.000000000000
C. 980.0
D. 980.00
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 +/- 0.03 meters takes a measurement of 0.09 meters, and a measuring flask with a precision of +/- 0.01 liters reads 0.06 liters when measuring a volume. Your computer produces the solution 1.500000000000 when dividing the numbers. Write this solution using the correct level of precision.
A. 1.5 meters/liter
B. 1.500000000000 meters/liter
C. 2 meters/liter
D. 1.50 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 chronograph with a precision of +/- 0.4 seconds takes a measurement of 1.0 seconds, and an odometer with a precision of +/- 4000 meters reads 542000 meters when measuring a distance. Your computer gives the solution 542000.000000000000 when multiplying the two values. How would this result look if we wrote it with the proper number of significant figures?
A. 542000.000000000000 meter-seconds
B. 542000.00 meter-seconds
C. 540000 meter-seconds
D. 542000 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 spring scale with a precision of +/- 0.001 grams takes a measurement of 8.757 grams, and an opisometer with a precision of +/- 1 meters reads 4 meters when measuring a distance. Using a calculator app, you multiply the numbers and get the solution 35.028000000000. Round this solution using the suitable level of precision.
A. 35 gram-meters
B. 40 gram-meters
C. 35.0 gram-meters
D. 35.028000000000 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 +/- 3 meters measures a distance of 59 meters and an opisometer with a precision of +/- 4 meters measures a distance between two different points as 49 meters. Using a calculator, you multiply the former value by the latter and get the output 2891.000000000000. Report this output using the correct number of significant figures.
A. 2891 meters^2
B. 2900 meters^2
C. 2891.00 meters^2
D. 2891.000000000000 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 rangefinder with a precision of +/- 40 meters measures a distance of 19410 meters and a chronograph with a precision of +/- 0.001 seconds measures a duration as 0.010 seconds. Using a calculator, you divide the first number by the second number and get the output 1941000.000000000000. If we express this output suitably with respect to the level of precision, what is the answer?
A. 1941000.000000000000 meters/second
B. 1900000 meters/second
C. 1941000 meters/second
D. 1941000.00 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 coincidence telemeter with a precision of +/- 400 meters takes a measurement of 700 meters, and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 0.553 meters. You multiply the first value by the second value with a calculator and get the output 387.100000000000. Using the right level of precision, what is the result?
A. 387.100000000000 meters^2
B. 387.1 meters^2
C. 300 meters^2
D. 400 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 ruler with a precision of +/- 0.3 meters measures a distance of 96.5 meters and a measuring rod with a precision of +/- 0.003 meters measures a distance between two different points as 5.778 meters. After multiplying the values your computer gives the solution 557.577000000000. If we express this solution appropriately with respect to the level of precision, what is the answer?
A. 557.577 meters^2
B. 558 meters^2
C. 557.577000000000 meters^2
D. 557.6 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 storage container with a precision of +/- 30 liters takes a measurement of 40540 liters, and a ruler with a precision of +/- 0.0002 meters reads 0.0070 meters when measuring a distance. Your calculator yields the solution 5791428.571428571429 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. 5791428.57 liters/meter
B. 5800000 liters/meter
C. 5791420 liters/meter
D. 5791428.571428571429 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 stadimeter with a precision of +/- 200 meters takes a measurement of 5200 meters, and a radar-based method with a precision of +/- 40 meters measures a distance between two different points as 87810 meters. Your calculator gives the solution 456612000.000000000000 when multiplying the two values. If we write this solution appropriately with respect to the level of precision, what is the result?
A. 456612000.000000000000 meters^2
B. 460000000 meters^2
C. 456612000 meters^2
D. 456612000.00 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 graduated cylinder with a precision of +/- 0.002 liters takes a measurement of 0.004 liters, and a tape measure with a precision of +/- 0.0004 meters measures a distance as 0.0002 meters. Using a calculator, you divide the former number by the latter and get the solution 20.000000000000. Using the correct level of precision, what is the result?
A. 20.000000000000 liters/meter
B. 20 liters/meter
C. 20.0 liters/meter
D. 20.000 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 +/- 40 meters takes a measurement of 610 meters, and a measuring flask with a precision of +/- 0.03 liters reads 0.85 liters when measuring a volume. Using a calculator, you multiply the two values and get the output 518.500000000000. If we report this output to the proper number of significant figures, what is the answer?
A. 520 liter-meters
B. 510 liter-meters
C. 518.500000000000 liter-meters
D. 518.50 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 +/- 400 grams measures a mass of 479600 grams and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0041 seconds. Using a computer, you divide the former number by the latter and get the solution 116975609.756097560976. If we write this solution to the appropriate level of precision, what is the result?
A. 116975600 grams/second
B. 120000000 grams/second
C. 116975609.76 grams/second
D. 116975609.756097560976 grams/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 +/- 1 liters takes a measurement of 4663 liters, and a spring scale with a precision of +/- 30 grams reads 1580 grams when measuring a mass. Using a calculator, you multiply the first number by the second number and get the output 7367540.000000000000. How would this answer look if we reported it with the right level of precision?
A. 7367540 gram-liters
B. 7367540.000000000000 gram-liters
C. 7370000 gram-liters
D. 7367540.000 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 chronometer with a precision of +/- 0.0002 seconds measures a duration of 0.1417 seconds and a tape measure with a precision of +/- 0.004 meters measures a distance as 2.843 meters. After dividing the two numbers your calculator app gets the solution 0.049841716497. How would this answer look if we wrote it with the appropriate number of significant figures?
A. 0.04984 seconds/meter
B. 0.049841716497 seconds/meter
C. 0.0498 seconds/meter
D. 0.050 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 storage container with a precision of +/- 2 liters measures a volume of 806 liters and a balance with a precision of +/- 0.1 grams reads 4.8 grams when measuring a mass. Using a calculator, you multiply the former value by the latter and get the solution 3868.800000000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 3868.80 gram-liters
B. 3868 gram-liters
C. 3900 gram-liters
D. 3868.800000000000 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 spring scale with a precision of +/- 1000 grams takes a measurement of 758000 grams, and a measuring tape with a precision of +/- 0.1 meters measures a distance as 3.1 meters. Using a computer, you divide the two values and get the solution 244516.129032258065. How would this answer look if we expressed it with the right level of precision?
A. 244516.129032258065 grams/meter
B. 240000 grams/meter
C. 244000 grams/meter
D. 244516.13 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 coincidence telemeter with a precision of +/- 2 meters measures a distance of 59 meters and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.093 liters. Using a calculator, you divide the two values and get the solution 634.408602150538. If we express this solution to the right level of precision, what is the answer?
A. 634.41 meters/liter
B. 634.408602150538 meters/liter
C. 630 meters/liter
D. 634 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 +/- 0.001 seconds measures a duration of 0.936 seconds and a measuring flask with a precision of +/- 0.001 liters reads 0.006 liters when measuring a volume. You divide the two values with a calculator and get the output 156.000000000000. How can we report this output to the proper level of precision?
A. 156.0 seconds/liter
B. 156.000000000000 seconds/liter
C. 156.000 seconds/liter
D. 200 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 analytical balance with a precision of +/- 4 grams measures a mass of 6130 grams and an opisometer with a precision of +/- 0.003 meters reads 0.068 meters when measuring a distance. Your computer produces the output 416.840000000000 when multiplying the values. When this output is reported to the suitable number of significant figures, what do we get?
A. 416 gram-meters
B. 420 gram-meters
C. 416.84 gram-meters
D. 416.840000000000 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).
---

An odometer with a precision of +/- 100 meters measures a distance of 4300 meters and a chronometer with a precision of +/- 0.0001 seconds reads 0.0357 seconds when measuring a duration. You multiply the values with a calculator app and get the solution 153.510000000000. If we report this solution to the appropriate number of significant figures, what is the answer?
A. 150 meter-seconds
B. 153.510000000000 meter-seconds
C. 100 meter-seconds
D. 153.51 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 measuring tape with a precision of +/- 0.04 meters takes a measurement of 44.10 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 9.066 liters. You divide the values with a computer and get the solution 4.864328259431. If we report this solution to the appropriate number of significant figures, what is the answer?
A. 4.8643 meters/liter
B. 4.864 meters/liter
C. 4.864328259431 meters/liter
D. 4.86 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 rangefinder with a precision of +/- 30 meters measures a distance of 74950 meters and a clickwheel with a precision of +/- 0.003 meters reads 0.054 meters when measuring a distance between two different points. After multiplying the former number by the latter your calculator yields the output 4047.300000000000. If we round this output to the right level of precision, what is the result?
A. 4047.300000000000 meters^2
B. 4047.30 meters^2
C. 4040 meters^2
D. 4000 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 +/- 2 grams takes a measurement of 7390 grams, and a chronometer with a precision of +/- 0.00003 seconds reads 0.00058 seconds when measuring a duration. After dividing the two values your calculator produces the solution 12741379.310344827586. If we express this solution to the appropriate number of significant figures, what is the answer?
A. 12741379 grams/second
B. 13000000 grams/second
C. 12741379.31 grams/second
D. 12741379.310344827586 grams/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 rangefinder with a precision of +/- 1 meters takes a measurement of 4383 meters, and a storage container with a precision of +/- 40 liters measures a volume as 2780 liters. You multiply the two numbers with a calculator and get the solution 12184740.000000000000. Write this solution using the proper level of precision.
A. 12200000 liter-meters
B. 12184740.000000000000 liter-meters
C. 12184740.000 liter-meters
D. 12184740 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 +/- 100 grams takes a measurement of 5700 grams, and an analytical balance with a precision of +/- 0.004 grams reads 0.244 grams when measuring a mass of a different object. After multiplying the first value by the second value your calculator app yields the output 1390.800000000000. If we round this output to the proper number of significant figures, what is the answer?
A. 1390.80 grams^2
B. 1390.800000000000 grams^2
C. 1400 grams^2
D. 1300 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 spring scale with a precision of +/- 0.0001 grams measures a mass of 0.0747 grams and a radar-based method with a precision of +/- 3 meters measures a distance as 6969 meters. You multiply the first number by the second number with a calculator app and get the solution 520.584300000000. How would this answer look if we reported it with the right level of precision?
A. 520.584 gram-meters
B. 521 gram-meters
C. 520.584300000000 gram-meters
D. 520 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 +/- 30 meters takes a measurement of 92070 meters, and a ruler with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0033 meters. After dividing the numbers your calculator app yields the output 27900000.000000000000. Round this output using the appropriate number of significant figures.
A. 27900000.00
B. 27900000
C. 28000000
D. 27900000.000000000000
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 +/- 0.0003 meters takes a measurement of 0.5387 meters, and a balance with a precision of +/- 0.0003 grams measures a mass as 0.0633 grams. Your computer gives the output 8.510268562401 when dividing the first number by the second number. How would this answer look if we expressed it with the right number of significant figures?
A. 8.5103 meters/gram
B. 8.510 meters/gram
C. 8.510268562401 meters/gram
D. 8.51 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 chronograph with a precision of +/- 0.2 seconds takes a measurement of 0.3 seconds, and a hydraulic scale with a precision of +/- 2 grams reads 2245 grams when measuring a mass. After multiplying the first number by the second number your computer gets the solution 673.500000000000. How would this answer look if we wrote it with the proper level of precision?
A. 700 gram-seconds
B. 673.5 gram-seconds
C. 673.500000000000 gram-seconds
D. 673 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).
---

An analytical balance with a precision of +/- 400 grams measures a mass of 6600 grams and a radar-based method with a precision of +/- 3 meters reads 226 meters when measuring a distance. Your computer gets the solution 1491600.000000000000 when multiplying the former value by the latter. If we report this solution appropriately with respect to the number of significant figures, what is the answer?
A. 1491600 gram-meters
B. 1500000 gram-meters
C. 1491600.000000000000 gram-meters
D. 1491600.00 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 measuring stick with a precision of +/- 0.2 meters measures a distance of 2.4 meters and a timer with a precision of +/- 0.3 seconds measures a duration as 52.6 seconds. Using a calculator, you multiply the two values and get the solution 126.240000000000. Write this solution using the right number of significant figures.
A. 130 meter-seconds
B. 126.24 meter-seconds
C. 126.240000000000 meter-seconds
D. 126.2 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).
---

An analytical balance with a precision of +/- 3 grams measures a mass of 6545 grams and a balance with a precision of +/- 0.02 grams measures a mass of a different object as 0.50 grams. Your computer yields the solution 3272.500000000000 when multiplying the former number by the latter. If we write this solution correctly with respect to the level of precision, what is the result?
A. 3272 grams^2
B. 3300 grams^2
C. 3272.500000000000 grams^2
D. 3272.50 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 +/- 3000 meters measures a distance of 8785000 meters and a spring scale with a precision of +/- 0.02 grams reads 0.98 grams when measuring a mass. After dividing the two numbers your computer produces the output 8964285.714285714286. How can we express this output to the appropriate number of significant figures?
A. 8964000 meters/gram
B. 8964285.714285714286 meters/gram
C. 9000000 meters/gram
D. 8964285.71 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).
---

An opisometer with a precision of +/- 0.2 meters measures a distance of 7.0 meters and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 2.227 meters. Your calculator app yields the output 15.589000000000 when multiplying the numbers. How can we report this output to the suitable level of precision?
A. 15.59 meters^2
B. 16 meters^2
C. 15.6 meters^2
D. 15.589000000000 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 measures a mass of 10000 grams and a measuring rod with a precision of +/- 0.003 meters reads 0.003 meters when measuring a distance. After dividing the first number by the second number your calculator yields the output 3333333.333333333333. How would this result look if we expressed it with the suitable level of precision?
A. 3333000 grams/meter
B. 3333333.3 grams/meter
C. 3000000 grams/meter
D. 3333333.333333333333 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 radar-based method with a precision of +/- 20 meters measures a distance of 6940 meters and an analytical balance with a precision of +/- 0.03 grams measures a mass as 6.78 grams. Using a calculator, you multiply the former value by the latter and get the output 47053.200000000000. If we express this output to the proper level of precision, what is the answer?
A. 47053.200000000000 gram-meters
B. 47050 gram-meters
C. 47100 gram-meters
D. 47053.200 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 timer with a precision of +/- 0.03 seconds measures a duration of 0.75 seconds and a measuring stick with a precision of +/- 0.3 meters measures a distance as 85.1 meters. Your calculator app gets the output 63.825000000000 when multiplying the values. How can we write this output to the correct number of significant figures?
A. 63.82 meter-seconds
B. 64 meter-seconds
C. 63.825000000000 meter-seconds
D. 63.8 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 spring scale with a precision of +/- 0.03 grams measures a mass of 37.00 grams and a tape measure with a precision of +/- 0.003 meters measures a distance as 0.211 meters. Using a calculator app, you divide the numbers and get the solution 175.355450236967. How would this answer look if we wrote it with the correct level of precision?
A. 175.355450236967 grams/meter
B. 175 grams/meter
C. 175.36 grams/meter
D. 175.355 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 chronograph with a precision of +/- 0.4 seconds measures a duration of 10.0 seconds and a measuring stick with a precision of +/- 0.04 meters measures a distance as 45.68 meters. Using a calculator, you multiply the former value by the latter and get the solution 456.800000000000. If we report this solution to the right level of precision, what is the answer?
A. 456.800000000000 meter-seconds
B. 457 meter-seconds
C. 456.800 meter-seconds
D. 456.8 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 +/- 0.3 seconds measures a duration of 0.5 seconds and a spring scale with a precision of +/- 40 grams reads 9710 grams when measuring a mass. Using a calculator app, you multiply the first number by the second number and get the output 4855.000000000000. If we round this output to the appropriate number of significant figures, what is the result?
A. 5000 gram-seconds
B. 4855.000000000000 gram-seconds
C. 4850 gram-seconds
D. 4855.0 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 2.9 meters, and a coincidence telemeter with a precision of +/- 300 meters reads 200 meters when measuring a distance between two different points. Your calculator yields the output 580.000000000000 when multiplying the first number by the second number. If we round this output to the right level of precision, what is the result?
A. 580.000000000000 meters^2
B. 600 meters^2
C. 580.0 meters^2
D. 500 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 caliper with a precision of +/- 0.03 meters takes a measurement of 64.77 meters, and a storage container with a precision of +/- 1 liters measures a volume as 226 liters. Your computer gives the solution 14638.020000000000 when multiplying the former number by the latter. Report this solution using the proper level of precision.
A. 14638 liter-meters
B. 14638.020 liter-meters
C. 14600 liter-meters
D. 14638.020000000000 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 storage container with a precision of +/- 4 liters measures a volume of 713 liters and an opisometer with a precision of +/- 3 meters measures a distance as 5 meters. After multiplying the former value by the latter your calculator gets the output 3565.000000000000. When this output is reported to the suitable level of precision, what do we get?
A. 3565 liter-meters
B. 3565.000000000000 liter-meters
C. 3565.0 liter-meters
D. 4000 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 spring scale with a precision of +/- 30 grams takes a measurement of 6410 grams, and a measuring stick with a precision of +/- 0.002 meters measures a distance as 0.003 meters. Your calculator app gets the solution 2136666.666666666667 when dividing the numbers. When this solution is reported to the right number of significant figures, what do we get?
A. 2000000 grams/meter
B. 2136660 grams/meter
C. 2136666.666666666667 grams/meter
D. 2136666.7 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 rangefinder with a precision of +/- 0.0001 meters takes a measurement of 0.0034 meters, and a rangefinder with a precision of +/- 0.0002 meters measures a distance between two different points as 0.0376 meters. You divide the two values with a calculator app and get the output 0.090425531915. How can we report this output to the correct level of precision?
A. 0.0904
B. 0.090
C. 0.090425531915
D. 0.09
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 +/- 0.04 grams takes a measurement of 0.03 grams, and a measuring rod with a precision of +/- 0.03 meters measures a distance as 66.18 meters. After multiplying the first value by the second value your calculator gives the solution 1.985400000000. How can we express this solution to the suitable level of precision?
A. 2 gram-meters
B. 1.985400000000 gram-meters
C. 2.0 gram-meters
D. 1.99 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).
---

An opisometer with a precision of +/- 0.004 meters measures a distance of 8.836 meters and a measuring rod with a precision of +/- 0.02 meters measures a distance between two different points as 0.05 meters. After dividing the two values your computer gives the solution 176.720000000000. If we write this solution appropriately with respect to the number of significant figures, what is the result?
A. 176.72
B. 200
C. 176.720000000000
D. 176.7
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 4800 meters and a radar-based method with a precision of +/- 30 meters measures a distance between two different points as 20 meters. After multiplying the values your calculator app produces the solution 96000.000000000000. How can we report this solution to the suitable number of significant figures?
A. 96000.0 meters^2
B. 96000 meters^2
C. 96000.000000000000 meters^2
D. 100000 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 coincidence telemeter with a precision of +/- 200 meters measures a distance of 10000 meters and a rangefinder with a precision of +/- 0.02 meters measures a distance between two different points as 80.97 meters. Using a calculator app, you divide the two numbers and get the output 123.502531801902. Using the proper number of significant figures, what is the answer?
A. 100
B. 123.502531801902
C. 123.503
D. 124
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 +/- 0.00001 seconds takes a measurement of 0.01839 seconds, and a measuring tape with a precision of +/- 0.01 meters reads 63.39 meters when measuring a distance. Your computer gets the solution 1.165742100000 when multiplying the first number by the second number. If we write this solution to the right level of precision, what is the answer?
A. 1.166 meter-seconds
B. 1.17 meter-seconds
C. 1.1657 meter-seconds
D. 1.165742100000 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 measuring tape with a precision of +/- 0.01 meters measures a distance of 65.35 meters and a balance with a precision of +/- 4 grams reads 4 grams when measuring a mass. After dividing the former value by the latter your calculator gives the solution 16.337500000000. When this solution is expressed to the appropriate level of precision, what do we get?
A. 16.3 meters/gram
B. 16 meters/gram
C. 16.337500000000 meters/gram
D. 20 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 +/- 10 liters measures a volume of 87120 liters and a ruler with a precision of +/- 0.04 meters reads 0.07 meters when measuring a distance. Using a calculator, you multiply the numbers and get the output 6098.400000000000. When this output is expressed to the right level of precision, what do we get?
A. 6098.4 liter-meters
B. 6000 liter-meters
C. 6090 liter-meters
D. 6098.400000000000 liter-meters
Answer: