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

A hydraulic scale with a precision of +/- 2000 grams measures a mass of 1759000 grams and a measuring tape with a precision of +/- 0.4 meters measures a distance as 514.5 meters. Using a calculator, you divide the first number by the second number and get the solution 3418.853255587949. Using the appropriate level of precision, what is the answer?
A. 3418.8533 grams/meter
B. 3000 grams/meter
C. 3419 grams/meter
D. 3418.853255587949 grams/meter
Answer:


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

A hydraulic scale with a precision of +/- 0.01 grams measures a mass of 46.89 grams and a measuring tape with a precision of +/- 0.1 meters reads 239.1 meters when measuring a distance. Your computer gives the solution 11211.399000000000 when multiplying the two values. Using the suitable level of precision, what is the result?
A. 11211.399000000000 gram-meters
B. 11210 gram-meters
C. 11211.3990 gram-meters
D. 11211.4 gram-meters
Answer:


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

A spring scale with a precision of +/- 40 grams takes a measurement of 89920 grams, and a timer with a precision of +/- 0.002 seconds reads 0.442 seconds when measuring a duration. Your calculator produces the output 203438.914027149321 when dividing the first number by the second number. Using the proper level of precision, what is the answer?
A. 203438.914027149321 grams/second
B. 203438.914 grams/second
C. 203430 grams/second
D. 203000 grams/second
Answer:


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

A clickwheel with a precision of +/- 0.2 meters measures a distance of 10.1 meters and a rangefinder with a precision of +/- 0.3 meters reads 2.9 meters when measuring a distance between two different points. Your calculator gets the output 29.290000000000 when multiplying the former number by the latter. When this output is expressed to the appropriate number of significant digits, what do we get?
A. 29.3 meters^2
B. 29.29 meters^2
C. 29 meters^2
D. 29.290000000000 meters^2
Answer:


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

A hydraulic scale with a precision of +/- 400 grams measures a mass of 989400 grams and a measuring stick with a precision of +/- 0.3 meters reads 2.0 meters when measuring a distance. Your calculator produces the output 494700.000000000000 when dividing the two numbers. Using the correct number of significant digits, what is the answer?
A. 490000 grams/meter
B. 494700.000000000000 grams/meter
C. 494700 grams/meter
D. 494700.00 grams/meter
Answer:


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

A radar-based method with a precision of +/- 10 meters takes a measurement of 4560 meters, and a clickwheel with a precision of +/- 0.004 meters reads 0.023 meters when measuring a distance between two different points. Your calculator yields the solution 198260.869565217391 when dividing the first value by the second value. How would this answer look if we rounded it with the proper number of significant digits?
A. 198260
B. 198260.87
C. 198260.869565217391
D. 200000
Answer:


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

An analytical balance with a precision of +/- 400 grams measures a mass of 5700 grams and a timer with a precision of +/- 0.03 seconds reads 0.05 seconds when measuring a duration. You multiply the numbers with a computer and get the solution 285.000000000000. When this solution is written to the correct number of significant digits, what do we get?
A. 200 gram-seconds
B. 285.000000000000 gram-seconds
C. 300 gram-seconds
D. 285.0 gram-seconds
Answer:


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

A measuring rod with a precision of +/- 0.04 meters takes a measurement of 4.44 meters, and a storage container with a precision of +/- 3 liters measures a volume as 24 liters. Using a calculator, you multiply the two values and get the output 106.560000000000. If we express this output to the right number of significant digits, what is the answer?
A. 106 liter-meters
B. 106.56 liter-meters
C. 110 liter-meters
D. 106.560000000000 liter-meters
Answer:


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

A spring scale with a precision of +/- 0.01 grams takes a measurement of 0.08 grams, and a measuring stick with a precision of +/- 0.04 meters measures a distance as 4.47 meters. Using a computer, you multiply the two numbers and get the output 0.357600000000. How can we write this output to the right number of significant digits?
A. 0.4 gram-meters
B. 0.357600000000 gram-meters
C. 0.36 gram-meters
Answer:


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

A stopwatch with a precision of +/- 0.02 seconds takes a measurement of 5.79 seconds, and a graduated cylinder with a precision of +/- 0.001 liters measures a volume as 4.229 liters. You multiply the former value by the latter with a computer and get the output 24.485910000000. How would this result look if we wrote it with the appropriate level of precision?
A. 24.485910000000 liter-seconds
B. 24.5 liter-seconds
C. 24.49 liter-seconds
D. 24.486 liter-seconds
Answer:


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

A tape measure with a precision of +/- 0.0001 meters measures a distance of 0.0092 meters and a spring scale with a precision of +/- 3000 grams reads 94000 grams when measuring a mass. You multiply the numbers with a calculator and get the output 864.800000000000. How would this result look if we rounded it with the proper level of precision?
A. 864.800000000000 gram-meters
B. 864.80 gram-meters
C. 860 gram-meters
Answer:


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

A coincidence telemeter with a precision of +/- 0.2 meters measures a distance of 0.8 meters and a storage container with a precision of +/- 30 liters measures a volume as 20 liters. Your calculator yields the output 16.000000000000 when multiplying the two numbers. How can we express this output to the right number of significant digits?
A. 16.000000000000 liter-meters
B. 20 liter-meters
C. 16.0 liter-meters
D. 10 liter-meters
Answer:


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

An analytical balance with a precision of +/- 40 grams takes a measurement of 3180 grams, and a meter stick with a precision of +/- 0.0001 meters measures a distance as 0.0003 meters. Your calculator app produces the solution 10600000.000000000000 when dividing the former number by the latter. How would this answer look if we reported it with the proper number of significant digits?
A. 10000000 grams/meter
B. 10600000.000000000000 grams/meter
C. 10600000 grams/meter
D. 10600000.0 grams/meter
Answer:


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

A storage container with a precision of +/- 0.3 liters measures a volume of 368.8 liters and a measuring tape with a precision of +/- 0.01 meters measures a distance as 15.44 meters. Using a calculator, you divide the first number by the second number and get the solution 23.886010362694. If we report this solution properly with respect to the level of precision, what is the result?
A. 23.9 liters/meter
B. 23.89 liters/meter
C. 23.886010362694 liters/meter
D. 23.8860 liters/meter
Answer:


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

A clickwheel with a precision of +/- 0.4 meters takes a measurement of 815.1 meters, and a storage container with a precision of +/- 30 liters measures a volume as 19630 liters. You divide the values with a computer and get the solution 0.041523178808. If we express this solution suitably with respect to the level of precision, what is the result?
A. 0.0415 meters/liter
B. 0.04152 meters/liter
C. 0.041523178808 meters/liter
Answer:


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

A clickwheel with a precision of +/- 0.004 meters measures a distance of 0.432 meters and a measuring stick with a precision of +/- 0.02 meters reads 0.15 meters when measuring a distance between two different points. After multiplying the values your calculator yields the output 0.064800000000. If we express this output to the suitable number of significant digits, what is the answer?
A. 0.06 meters^2
B. 0.065 meters^2
C. 0.064800000000 meters^2
Answer:


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

An opisometer with a precision of +/- 1 meters measures a distance of 838 meters and a storage container with a precision of +/- 4 liters measures a volume as 67 liters. Using a calculator app, you multiply the first value by the second value and get the solution 56146.000000000000. If we express this solution suitably with respect to the level of precision, what is the answer?
A. 56000 liter-meters
B. 56146 liter-meters
C. 56146.000000000000 liter-meters
D. 56146.00 liter-meters
Answer:


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

A meter stick with a precision of +/- 0.0004 meters measures a distance of 0.0270 meters and a Biltmore stick with a precision of +/- 0.4 meters reads 93.3 meters when measuring a distance between two different points. You multiply the numbers with a computer and get the solution 2.519100000000. When this solution is rounded to the correct number of significant digits, what do we get?
A. 2.5 meters^2
B. 2.52 meters^2
C. 2.519100000000 meters^2
D. 2.519 meters^2
Answer:


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

An odometer with a precision of +/- 2000 meters measures a distance of 7000 meters and a rangefinder with a precision of +/- 4 meters reads 643 meters when measuring a distance between two different points. After dividing the values your calculator yields the solution 10.886469673406. Write this solution using the right level of precision.
A. 10.886469673406
B. 10.9
C. 10
Answer:


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

A biltmore stick with a precision of +/- 0.04 meters takes a measurement of 0.16 meters, and a measuring flask with a precision of +/- 0.004 liters measures a volume as 0.048 liters. After multiplying the first number by the second number your calculator produces the solution 0.007680000000. If we write this solution properly with respect to the level of precision, what is the result?
A. 0.01 liter-meters
B. 0.0077 liter-meters
C. 0.007680000000 liter-meters
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 6.687 liters, and a meter stick with a precision of +/- 0.0004 meters reads 0.7184 meters when measuring a distance. After multiplying the former value by the latter your calculator gives the solution 4.803940800000. If we express this solution to the appropriate level of precision, what is the result?
A. 4.8039 liter-meters
B. 4.803940800000 liter-meters
C. 4.804 liter-meters
Answer:


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

A storage container with a precision of +/- 4 liters measures a volume of 92 liters and a tape measure with a precision of +/- 0.0004 meters reads 0.4612 meters when measuring a distance. Using a calculator, you divide the two numbers and get the output 199.479618386817. If we report this output properly with respect to the level of precision, what is the answer?
A. 199 liters/meter
B. 199.479618386817 liters/meter
C. 200 liters/meter
D. 199.48 liters/meter
Answer:


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

A stadimeter with a precision of +/- 3 meters takes a measurement of 737 meters, and a balance with a precision of +/- 0.0002 grams reads 0.0065 grams when measuring a mass. Your computer yields the solution 113384.615384615385 when dividing the numbers. How can we report this solution to the suitable number of significant digits?
A. 113384.615384615385 meters/gram
B. 113384 meters/gram
C. 113384.62 meters/gram
D. 110000 meters/gram
Answer:


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

A storage container with a precision of +/- 1 liters measures a volume of 2 liters and a cathetometer with a precision of +/- 0.00001 meters measures a distance as 0.00091 meters. Using a calculator, you divide the former number by the latter and get the solution 2197.802197802198. Using the right level of precision, what is the result?
A. 2197.802197802198 liters/meter
B. 2197.8 liters/meter
C. 2000 liters/meter
D. 2197 liters/meter
Answer:


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

A radar-based method with a precision of +/- 1 meters takes a measurement of 4 meters, and a timer with a precision of +/- 0.03 seconds measures a duration as 0.32 seconds. Using a computer, you multiply the two numbers and get the solution 1.280000000000. How would this answer look if we rounded it with the proper number of significant digits?
A. 1 meter-seconds
B. 1.3 meter-seconds
C. 1.280000000000 meter-seconds
Answer:


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

A storage container with a precision of +/- 0.3 liters takes a measurement of 427.1 liters, and a tape measure with a precision of +/- 0.001 meters measures a distance as 0.002 meters. After dividing the numbers your computer gets the output 213550.000000000000. How would this result look if we wrote it with the suitable level of precision?
A. 213550.0 liters/meter
B. 200000 liters/meter
C. 213550.000000000000 liters/meter
Answer:


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

A balance with a precision of +/- 40 grams takes a measurement of 340 grams, and a stadimeter with a precision of +/- 3 meters reads 7 meters when measuring a distance. Your calculator app gives the output 2380.000000000000 when multiplying the two numbers. When this output is expressed to the appropriate level of precision, what do we get?
A. 2380.000000000000 gram-meters
B. 2000 gram-meters
C. 2380 gram-meters
D. 2380.0 gram-meters
Answer:


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

A spring scale with a precision of +/- 0.2 grams measures a mass of 327.9 grams and a meter stick with a precision of +/- 0.0004 meters reads 0.0002 meters when measuring a distance. Using a computer, you divide the first value by the second value and get the output 1639500.000000000000. Using the appropriate number of significant digits, what is the answer?
A. 2000000 grams/meter
B. 1639500.000000000000 grams/meter
C. 1639500.0 grams/meter
Answer:


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

A balance with a precision of +/- 0.04 grams takes a measurement of 7.23 grams, and a spring scale with a precision of +/- 0.4 grams reads 0.2 grams when measuring a mass of a different object. You divide the first value by the second value with a calculator app and get the solution 36.150000000000. Round this solution using the right level of precision.
A. 40
B. 36.2
C. 36.150000000000
Answer:


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

A storage container with a precision of +/- 20 liters takes a measurement of 330 liters, and a clickwheel with a precision of +/- 0.002 meters reads 0.058 meters when measuring a distance. After dividing the two numbers your calculator app yields the output 5689.655172413793. Round this output using the right number of significant digits.
A. 5689.655172413793 liters/meter
B. 5680 liters/meter
C. 5689.66 liters/meter
D. 5700 liters/meter
Answer:


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

A caliper with a precision of +/- 0.04 meters takes a measurement of 57.94 meters, and a radar-based method with a precision of +/- 40 meters reads 40 meters when measuring a distance between two different points. Your calculator app gets the solution 1.448500000000 when dividing the former number by the latter. If we report this solution appropriately with respect to the level of precision, what is the answer?
A. 1
B. 1.4
C. 1.448500000000
Answer:


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

A chronograph with a precision of +/- 0.002 seconds takes a measurement of 5.552 seconds, and a chronometer with a precision of +/- 0.0003 seconds measures a duration of a different event as 0.0013 seconds. After multiplying the former value by the latter your calculator produces the output 0.007217600000. When this output is written to the suitable level of precision, what do we get?
A. 0.007217600000 seconds^2
B. 0.01 seconds^2
C. 0.007 seconds^2
D. 0.0072 seconds^2
Answer:


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

A storage container with a precision of +/- 1 liters measures a volume of 476 liters and an odometer with a precision of +/- 300 meters measures a distance as 704600 meters. After dividing the former number by the latter your calculator app produces the output 0.000675560602. Using the right level of precision, what is the answer?
A. 0.001 liters/meter
B. 0.000676 liters/meter
C. 0.000675560602 liters/meter
Answer:


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

A stadimeter with a precision of +/- 0.3 meters measures a distance of 0.2 meters and a timer with a precision of +/- 0.002 seconds reads 0.038 seconds when measuring a duration. Your calculator yields the solution 5.263157894737 when dividing the two numbers. When this solution is reported to the proper level of precision, what do we get?
A. 5 meters/second
B. 5.263157894737 meters/second
C. 5.3 meters/second
Answer:


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

A chronograph with a precision of +/- 0.3 seconds takes a measurement of 16.3 seconds, and a balance with a precision of +/- 4 grams reads 788 grams when measuring a mass. You divide the former number by the latter with a calculator and get the output 0.020685279188. When this output is rounded to the appropriate number of significant digits, what do we get?
A. 0.0207 seconds/gram
B. 0.020685279188 seconds/gram
C. 0.021 seconds/gram
Answer:


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

A hydraulic scale with a precision of +/- 300 grams measures a mass of 84600 grams and a rangefinder with a precision of +/- 0.1 meters reads 4.9 meters when measuring a distance. You divide the two numbers with a calculator app and get the output 17265.306122448980. If we report this output to the suitable number of significant digits, what is the answer?
A. 17265.306122448980 grams/meter
B. 17200 grams/meter
C. 17265.31 grams/meter
D. 17000 grams/meter
Answer:


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

A spring scale with a precision of +/- 0.1 grams measures a mass of 10.3 grams and an odometer with a precision of +/- 400 meters reads 100 meters when measuring a distance. Using a calculator app, you multiply the two values and get the solution 1030.000000000000. If we express this solution properly with respect to the number of significant digits, what is the answer?
A. 1000 gram-meters
B. 1030.000000000000 gram-meters
C. 1030.0 gram-meters
Answer:


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

A hydraulic scale with a precision of +/- 400 grams measures a mass of 974200 grams and a rangefinder with a precision of +/- 0.4 meters measures a distance as 0.1 meters. After multiplying the former value by the latter your calculator app yields the output 97420.000000000000. Report this output using the right number of significant digits.
A. 97420.000000000000 gram-meters
B. 97420.0 gram-meters
C. 97400 gram-meters
D. 100000 gram-meters
Answer:


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

A stadimeter with a precision of +/- 0.1 meters measures a distance of 44.9 meters and a coincidence telemeter with a precision of +/- 2 meters measures a distance between two different points as 3740 meters. After multiplying the first number by the second number your computer yields the output 167926.000000000000. How would this result look if we rounded it with the suitable number of significant digits?
A. 167926.000 meters^2
B. 168000 meters^2
C. 167926.000000000000 meters^2
D. 167926 meters^2
Answer:


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

A tape measure with a precision of +/- 0.0003 meters measures a distance of 0.7421 meters and a measuring rod with a precision of +/- 0.001 meters reads 5.592 meters when measuring a distance between two different points. Using a computer, you divide the first number by the second number and get the solution 0.132707439199. When this solution is rounded to the proper level of precision, what do we get?
A. 0.1327
B. 0.133
C. 0.132707439199
Answer:


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

A rangefinder with a precision of +/- 0.2 meters takes a measurement of 935.1 meters, and a measuring stick with a precision of +/- 0.03 meters measures a distance between two different points as 18.89 meters. Your calculator produces the solution 17664.039000000000 when multiplying the values. How can we report this solution to the right number of significant digits?
A. 17664.0390 meters^2
B. 17664.0 meters^2
C. 17664.039000000000 meters^2
D. 17660 meters^2
Answer:


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

A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.1348 meters, and a timer with a precision of +/- 0.004 seconds reads 9.134 seconds when measuring a duration. Using a calculator app, you multiply the former number by the latter and get the solution 1.231263200000. If we round this solution to the suitable number of significant digits, what is the answer?
A. 1.231 meter-seconds
B. 1.2313 meter-seconds
C. 1.231263200000 meter-seconds
Answer:


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

A rangefinder with a precision of +/- 0.3 meters measures a distance of 5.1 meters and a chronograph with a precision of +/- 0.001 seconds reads 0.485 seconds when measuring a duration. You multiply the numbers with a calculator and get the output 2.473500000000. If we report this output appropriately with respect to the number of significant digits, what is the result?
A. 2.5 meter-seconds
B. 2.47 meter-seconds
C. 2.473500000000 meter-seconds
Answer:


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

A measuring flask with a precision of +/- 0.02 liters takes a measurement of 6.02 liters, and an analytical balance with a precision of +/- 0.0001 grams measures a mass as 0.0053 grams. After dividing the first value by the second value your calculator gets the output 1135.849056603774. If we express this output to the proper level of precision, what is the result?
A. 1135.85 liters/gram
B. 1135.849056603774 liters/gram
C. 1100 liters/gram
Answer:


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

A graduated cylinder with a precision of +/- 0.003 liters measures a volume of 0.007 liters and a meter stick with a precision of +/- 0.0004 meters reads 0.0728 meters when measuring a distance. Your calculator produces the solution 0.096153846154 when dividing the two values. If we write this solution correctly with respect to the number of significant digits, what is the answer?
A. 0.096153846154 liters/meter
B. 0.096 liters/meter
C. 0.10 liters/meter
D. 0.1 liters/meter
Answer:


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

A storage container with a precision of +/- 0.4 liters measures a volume of 669.7 liters and a measuring flask with a precision of +/- 0.003 liters measures a volume of a different quantity of liquid as 0.356 liters. Your calculator app produces the solution 238.413200000000 when multiplying the numbers. How can we report this solution to the appropriate number of significant digits?
A. 238 liters^2
B. 238.413200000000 liters^2
C. 238.413 liters^2
D. 238.4 liters^2
Answer:


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

A stopwatch with a precision of +/- 0.02 seconds measures a duration of 0.75 seconds and a chronograph with a precision of +/- 0.1 seconds reads 7.2 seconds when measuring a duration of a different event. You multiply the first number by the second number with a calculator and get the output 5.400000000000. If we report this output properly with respect to the level of precision, what is the result?
A. 5.40 seconds^2
B. 5.4 seconds^2
C. 5.400000000000 seconds^2
Answer:


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

A storage container with a precision of +/- 0.4 liters takes a measurement of 764.7 liters, and an opisometer with a precision of +/- 2 meters measures a distance as 20 meters. You divide the two values with a calculator and get the solution 38.235000000000. If we round this solution to the correct number of significant digits, what is the result?
A. 38.24 liters/meter
B. 38.235000000000 liters/meter
C. 38 liters/meter
Answer:


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

A coincidence telemeter with a precision of +/- 1 meters measures a distance of 859 meters and a rangefinder with a precision of +/- 0.4 meters reads 0.7 meters when measuring a distance between two different points. You multiply the first value by the second value with a calculator and get the solution 601.300000000000. How would this result look if we wrote it with the suitable number of significant digits?
A. 601.3 meters^2
B. 601 meters^2
C. 601.300000000000 meters^2
D. 600 meters^2
Answer:


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

A balance with a precision of +/- 200 grams takes a measurement of 973000 grams, and a stadimeter with a precision of +/- 40 meters measures a distance as 20 meters. Your computer gives the solution 48650.000000000000 when dividing the first number by the second number. If we write this solution correctly with respect to the number of significant digits, what is the result?
A. 48650.000000000000 grams/meter
B. 48650.0 grams/meter
C. 50000 grams/meter
D. 48600 grams/meter
Answer:


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

A caliper with a precision of +/- 0.004 meters takes a measurement of 0.764 meters, and a Biltmore stick with a precision of +/- 0.1 meters reads 355.0 meters when measuring a distance between two different points. Your calculator app gives the output 0.002152112676 when dividing the former number by the latter. How can we report this output to the appropriate number of significant digits?
A. 0.002152112676
B. 0.00215
C. 0.002
Answer:


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

A biltmore stick with a precision of +/- 0.3 meters measures a distance of 0.5 meters and a measuring tape with a precision of +/- 0.1 meters reads 7.3 meters when measuring a distance between two different points. You divide the two values with a calculator and get the output 0.068493150685. Using the proper level of precision, what is the answer?
A. 0.068493150685
B. 0.07
C. 0.1
Answer:


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

A radar-based method with a precision of +/- 2 meters measures a distance of 48 meters and a coincidence telemeter with a precision of +/- 0.2 meters measures a distance between two different points as 0.5 meters. Using a calculator, you divide the values and get the solution 96.000000000000. How can we write this solution to the proper number of significant digits?
A. 96.000000000000
B. 100
C. 96
D. 96.0
Answer:


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

A radar-based method with a precision of +/- 100 meters measures a distance of 45900 meters and a coincidence telemeter with a precision of +/- 40 meters reads 120 meters when measuring a distance between two different points. You multiply the former number by the latter with a calculator app and get the output 5508000.000000000000. When this output is rounded to the proper number of significant digits, what do we get?
A. 5500000 meters^2
B. 5508000.000000000000 meters^2
C. 5508000 meters^2
D. 5508000.00 meters^2
Answer:


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

A tape measure with a precision of +/- 0.001 meters takes a measurement of 0.002 meters, and a chronometer with a precision of +/- 0.00004 seconds measures a duration as 0.00023 seconds. After dividing the two values your computer yields the output 8.695652173913. Express this output using the correct level of precision.
A. 8.7 meters/second
B. 8.696 meters/second
C. 9 meters/second
D. 8.695652173913 meters/second
Answer:


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

A ruler with a precision of +/- 0.1 meters takes a measurement of 0.2 meters, and a clickwheel with a precision of +/- 0.03 meters measures a distance between two different points as 0.06 meters. After dividing the first value by the second value your calculator produces the output 3.333333333333. Express this output using the suitable number of significant digits.
A. 3
B. 3.333333333333
C. 3.3
Answer:


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

A chronometer with a precision of +/- 0.00003 seconds takes a measurement of 0.00034 seconds, and a chronometer with a precision of +/- 0.0002 seconds reads 0.0007 seconds when measuring a duration of a different event. Using a calculator app, you divide the former number by the latter and get the output 0.485714285714. How can we express this output to the right level of precision?
A. 0.4857
B. 0.485714285714
C. 0.5
Answer:


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

A radar-based method with a precision of +/- 400 meters measures a distance of 10000 meters and a measuring tape with a precision of +/- 0.02 meters reads 0.09 meters when measuring a distance between two different points. Using a calculator app, you divide the numbers and get the output 111111.111111111111. If we report this output suitably with respect to the level of precision, what is the result?
A. 111100
B. 111111.1
C. 100000
D. 111111.111111111111
Answer:


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

A hydraulic scale with a precision of +/- 0.4 grams measures a mass of 110.4 grams and a Biltmore stick with a precision of +/- 0.03 meters measures a distance as 0.01 meters. You divide the former number by the latter with a calculator app and get the output 11040.000000000000. Report this output using the right level of precision.
A. 11040.0 grams/meter
B. 10000 grams/meter
C. 11040.000000000000 grams/meter
Answer:


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

A chronograph with a precision of +/- 0.003 seconds takes a measurement of 7.258 seconds, and a hydraulic scale with a precision of +/- 0.0001 grams reads 0.5139 grams when measuring a mass. Using a calculator app, you multiply the values and get the output 3.729886200000. Using the appropriate level of precision, what is the result?
A. 3.730 gram-seconds
B. 3.7299 gram-seconds
C. 3.729886200000 gram-seconds
Answer:


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

A clickwheel with a precision of +/- 0.04 meters takes a measurement of 0.44 meters, and a spring scale with a precision of +/- 4000 grams reads 9345000 grams when measuring a mass. After multiplying the two values your calculator app produces the solution 4111800.000000000000. Using the correct level of precision, what is the result?
A. 4111800.00 gram-meters
B. 4111000 gram-meters
C. 4100000 gram-meters
D. 4111800.000000000000 gram-meters
Answer:


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

An odometer with a precision of +/- 1000 meters takes a measurement of 7574000 meters, and a spring scale with a precision of +/- 40 grams reads 30 grams when measuring a mass. After multiplying the numbers your calculator app gets the solution 227220000.000000000000. When this solution is rounded to the correct number of significant digits, what do we get?
A. 227220000 gram-meters
B. 227220000.000000000000 gram-meters
C. 227220000.0 gram-meters
D. 200000000 gram-meters
Answer:


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

A ruler with a precision of +/- 0.02 meters takes a measurement of 0.74 meters, and a balance with a precision of +/- 400 grams measures a mass as 32100 grams. Using a calculator, you multiply the former value by the latter and get the solution 23754.000000000000. Using the correct number of significant digits, what is the result?
A. 23754.00 gram-meters
B. 23700 gram-meters
C. 24000 gram-meters
D. 23754.000000000000 gram-meters
Answer:


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

A measuring flask with a precision of +/- 0.02 liters takes a measurement of 6.82 liters, and an analytical balance with a precision of +/- 300 grams measures a mass as 38100 grams. You multiply the two values with a calculator app and get the output 259842.000000000000. How can we express this output to the appropriate level of precision?
A. 260000 gram-liters
B. 259800 gram-liters
C. 259842.000000000000 gram-liters
D. 259842.000 gram-liters
Answer:


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

A caliper with a precision of +/- 0.02 meters measures a distance of 3.47 meters and a caliper with a precision of +/- 0.002 meters reads 0.055 meters when measuring a distance between two different points. Using a calculator, you divide the numbers and get the solution 63.090909090909. Write this solution using the correct number of significant digits.
A. 63.09
B. 63
C. 63.090909090909
Answer:


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

An opisometer with a precision of +/- 0.004 meters takes a measurement of 0.156 meters, and an opisometer with a precision of +/- 3 meters measures a distance between two different points as 3 meters. Your calculator gets the solution 0.052000000000 when dividing the two numbers. Write this solution using the right number of significant digits.
A. 0.1
B. 0.052000000000
C. 0.05
Answer:


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

A rangefinder with a precision of +/- 1 meters takes a measurement of 773 meters, and a measuring flask with a precision of +/- 0.04 liters measures a volume as 0.16 liters. You divide the former number by the latter with a calculator app and get the output 4831.250000000000. When this output is rounded to the proper number of significant digits, what do we get?
A. 4831 meters/liter
B. 4800 meters/liter
C. 4831.250000000000 meters/liter
D. 4831.25 meters/liter
Answer:


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

An odometer with a precision of +/- 200 meters takes a measurement of 5500 meters, and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 78.0 meters. After dividing the former number by the latter your computer produces the output 70.512820512821. Using the suitable level of precision, what is the result?
A. 70.51
B. 70.512820512821
C. 71
Answer:


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

A coincidence telemeter with a precision of +/- 0.1 meters measures a distance of 48.0 meters and a measuring stick with a precision of +/- 0.2 meters reads 14.0 meters when measuring a distance between two different points. Using a calculator app, you divide the first number by the second number and get the output 3.428571428571. When this output is rounded to the suitable level of precision, what do we get?
A. 3.428571428571
B. 3.4
C. 3.43
D. 3.429
Answer:


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

A tape measure with a precision of +/- 0.0002 meters takes a measurement of 0.3925 meters, and a chronometer with a precision of +/- 0.00002 seconds measures a duration as 0.00085 seconds. After multiplying the values your calculator gives the output 0.000333625000. When this output is rounded to the suitable level of precision, what do we get?
A. 0.0003 meter-seconds
B. 0.00033 meter-seconds
C. 0.000333625000 meter-seconds
Answer:


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

A cathetometer with a precision of +/- 0.00001 meters measures a distance of 0.01688 meters and a stopwatch with a precision of +/- 0.003 seconds measures a duration as 6.133 seconds. Using a calculator, you multiply the numbers and get the solution 0.103525040000. When this solution is written to the correct level of precision, what do we get?
A. 0.1035 meter-seconds
B. 0.103525040000 meter-seconds
C. 0.104 meter-seconds
Answer:


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

A measuring flask with a precision of +/- 0.002 liters takes a measurement of 0.045 liters, and a timer with a precision of +/- 0.002 seconds measures a duration as 0.163 seconds. You divide the values with a calculator and get the output 0.276073619632. If we write this output to the right number of significant digits, what is the result?
A. 0.28 liters/second
B. 0.276 liters/second
C. 0.276073619632 liters/second
Answer:


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

A measuring rod with a precision of +/- 0.03 meters measures a distance of 5.08 meters and a measuring stick with a precision of +/- 0.01 meters reads 0.02 meters when measuring a distance between two different points. Your computer yields the output 254.000000000000 when dividing the former value by the latter. If we report this output to the right level of precision, what is the answer?
A. 300
B. 254.0
C. 254.000000000000
D. 254.00
Answer:


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

A clickwheel with a precision of +/- 0.2 meters measures a distance of 3.6 meters and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.97 meters. Using a calculator, you multiply the numbers and get the solution 3.492000000000. How would this result look if we expressed it with the correct level of precision?
A. 3.5 meters^2
B. 3.492000000000 meters^2
C. 3.49 meters^2
Answer:


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

A biltmore stick with a precision of +/- 0.04 meters measures a distance of 9.05 meters and a hydraulic scale with a precision of +/- 0.1 grams reads 0.5 grams when measuring a mass. After multiplying the first number by the second number your computer yields the output 4.525000000000. When this output is expressed to the correct level of precision, what do we get?
A. 4.5 gram-meters
B. 4.525000000000 gram-meters
C. 5 gram-meters
Answer:


prompt:
NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant digits in each. Your result should be reported to the number of significant digits in the measurement having the lesser number of significant digits. Note that 'significant digits' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures .
Rounding a number to N significant digits is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant digits is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule).
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A balance with a precision of +/- 0.003 grams takes a measurement of 0.605 grams, and a meter stick with a precision of +/- 0.0003 meters measures a distance as 0.0006 meters. Using a calculator app, you divide the two values and get the solution 1008.333333333333. If we express this solution correctly with respect to the number of significant digits, what is the result?
A. 1008.333333333333 grams/meter
B. 1008.333 grams/meter
C. 1000 grams/meter
D. 1008.3 grams/meter
Answer: