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NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A cathetometer with a precision of +/- 0.00004 meters takes a measurement of 0.08017 meters, and a caliper with a precision of +/- 0.02 meters reads 49.66 meters when measuring a distance between two different points. You multiply the two values with a computer and get the solution. If we report this solution to the appropriate level of precision, what is the answer? A. 3.9812 meters^2 B. 3.981 meters^2 C. 3.98 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 10 meters measures a distance of 56470 meters and a stadimeter with a precision of +/- 0.3 meters reads 825.9 meters when measuring a distance between two different points. After multiplying the first number by the second number your calculator gets the output. Report this output using the proper level of precision. A. 46638573.0000 meters^2 B. 46638570 meters^2 C. 46640000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 300 meters takes a measurement of 728200 meters, and a coincidence telemeter with a precision of +/- 10 meters measures a distance between two different points as 4220 meters. Using a calculator, you multiply the two values and get the solution. When this solution is reported to the appropriate level of precision, what do we get? A. 3073004000.000 meters^2 B. 3073004000 meters^2 C. 3070000000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 2 grams measures a mass of 731 grams and a Biltmore stick with a precision of +/- 0.4 meters measures a distance as 0.6 meters. Using a calculator, you divide the numbers and get the solution. Express this solution using the right number of significant figures. A. 1218 grams/meter B. 1000 grams/meter C. 1218.3 grams/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 200 grams takes a measurement of 162300 grams, and a meter stick with a precision of +/- 0.0001 meters reads 0.0042 meters when measuring a distance. Your computer yields the solution when multiplying the first value by the second value. If we express this solution to the appropriate number of significant figures, what is the result? A. 680 gram-meters B. 600 gram-meters C. 681.66 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 0.02 meters measures a distance of 87.23 meters and a clickwheel with a precision of +/- 0.1 meters measures a distance between two different points as 63.9 meters. Your computer produces the solution when dividing the numbers. How would this answer look if we expressed it with the proper level of precision? A. 1.365 B. 1.37 C. 1.4 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.1 meters measures a distance of 893.1 meters and a chronometer with a precision of +/- 0.0004 seconds reads 0.0034 seconds when measuring a duration. After dividing the first number by the second number your calculator produces the output. How can we write this output to the suitable level of precision? A. 262676.47 meters/second B. 260000 meters/second C. 262676.5 meters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 100 meters measures a distance of 36300 meters and a storage container with a precision of +/- 0.3 liters reads 0.7 liters when measuring a volume. You divide the first value by the second value with a calculator and get the output. If we write this output suitably with respect to the number of significant figures, what is the answer? A. 51857.1 meters/liter B. 50000 meters/liter C. 51800 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring rod with a precision of +/- 0.004 meters measures a distance of 0.082 meters and an analytical balance with a precision of +/- 200 grams measures a mass as 8800 grams. After multiplying the values your calculator app produces the output. If we write this output to the correct level of precision, what is the answer? A. 720 gram-meters B. 700 gram-meters C. 721.60 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 4000 meters measures a distance of 53000 meters and a tape measure with a precision of +/- 0.004 meters measures a distance between two different points as 0.017 meters. Using a calculator app, you divide the first number by the second number and get the output. If we report this output suitably with respect to the level of precision, what is the result? A. 3117000 B. 3117647.06 C. 3100000 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A coincidence telemeter with a precision of +/- 2 meters measures a distance of 40 meters and a stopwatch with a precision of +/- 0.4 seconds reads 68.3 seconds when measuring a duration. You multiply the former number by the latter with a calculator app and get the output. How can we round this output to the appropriate level of precision? A. 2732.00 meter-seconds B. 2732 meter-seconds C. 2700 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 300 meters measures a distance of 109700 meters and a ruler with a precision of +/- 0.03 meters measures a distance between two different points as 0.89 meters. Your calculator app gives the solution when multiplying the values. How would this result look if we expressed it with the suitable level of precision? A. 98000 meters^2 B. 97633.00 meters^2 C. 97600 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring rod with a precision of +/- 0.003 meters measures a distance of 2.469 meters and a stopwatch with a precision of +/- 0.3 seconds measures a duration as 4.5 seconds. You multiply the first number by the second number with a calculator and get the output. When this output is reported to the appropriate number of significant figures, what do we get? A. 11.11 meter-seconds B. 11.1 meter-seconds C. 11 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.2 seconds measures a duration of 15.4 seconds and a stopwatch with a precision of +/- 0.02 seconds measures a duration of a different event as 7.32 seconds. Using a calculator app, you multiply the numbers and get the output. How can we write this output to the correct number of significant figures? A. 113 seconds^2 B. 112.728 seconds^2 C. 112.7 seconds^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 1000 meters takes a measurement of 46000 meters, and a measuring tape with a precision of +/- 0.2 meters measures a distance between two different points as 33.7 meters. You divide the two values with a calculator and get the solution. If we report this solution appropriately with respect to the number of significant figures, what is the answer? A. 1000 B. 1364.99 C. 1400 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 30 grams takes a measurement of 89720 grams, and a graduated cylinder with a precision of +/- 0.004 liters reads 0.005 liters when measuring a volume. Using a calculator app, you divide the first value by the second value and get the output. How can we report this output to the appropriate number of significant figures? A. 20000000 grams/liter B. 17944000 grams/liter C. 17944000.0 grams/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.3 seconds measures a duration of 742.5 seconds and a Biltmore stick with a precision of +/- 0.04 meters reads 10.25 meters when measuring a distance. Using a calculator app, you divide the values and get the solution. Using the right level of precision, what is the answer? A. 72.44 seconds/meter B. 72.4390 seconds/meter C. 72.4 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A ruler with a precision of +/- 0.4 meters measures a distance of 6.1 meters and a timer with a precision of +/- 0.004 seconds measures a duration as 0.016 seconds. You multiply the first number by the second number with a computer and get the solution. How would this result look if we wrote it with the appropriate number of significant figures? A. 0.10 meter-seconds B. 0.1 meter-seconds C. 0.098 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.01 meters measures a distance of 44.06 meters and a rangefinder with a precision of +/- 4 meters reads 44 meters when measuring a distance between two different points. Your computer gives the solution when multiplying the former number by the latter. When this solution is expressed to the proper level of precision, what do we get? A. 1938.64 meters^2 B. 1938 meters^2 C. 1900 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 200 meters measures a distance of 400 meters and a cathetometer with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0062 meters. Your calculator app produces the output when dividing the two numbers. Report this output using the right level of precision. A. 64516.1 B. 64500 C. 60000 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 3 meters takes a measurement of 563 meters, and a measuring rod with a precision of +/- 0.0001 meters measures a distance between two different points as 0.0251 meters. Using a computer, you divide the first value by the second value and get the solution. When this solution is rounded to the suitable number of significant figures, what do we get? A. 22430.279 B. 22430 C. 22400 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 1000 grams takes a measurement of 2715000 grams, and a rangefinder with a precision of +/- 0.0001 meters reads 0.1996 meters when measuring a distance. Your calculator app gives the output when dividing the former value by the latter. How would this result look if we reported it with the right level of precision? A. 13602000 grams/meter B. 13600000 grams/meter C. 13602204.4088 grams/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 200 grams measures a mass of 669400 grams and a measuring flask with a precision of +/- 0.001 liters measures a volume as 0.021 liters. Using a computer, you divide the former value by the latter and get the solution. Using the correct level of precision, what is the answer? A. 31876190.48 grams/liter B. 31876100 grams/liter C. 32000000 grams/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.04 meters takes a measurement of 69.87 meters, and a spring scale with a precision of +/- 4 grams measures a mass as 10 grams. Using a calculator app, you multiply the first number by the second number and get the output. When this output is expressed to the proper number of significant figures, what do we get? A. 700 gram-meters B. 698 gram-meters C. 698.70 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 1 liters takes a measurement of 193 liters, and a cathetometer with a precision of +/- 0.00001 meters measures a distance as 0.06205 meters. You multiply the former number by the latter with a calculator app and get the solution. Round this solution using the correct number of significant figures. A. 11.976 liter-meters B. 11 liter-meters C. 12.0 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.01 meters measures a distance of 0.54 meters and a graduated cylinder with a precision of +/- 0.003 liters reads 0.004 liters when measuring a volume. You divide the values with a computer and get the solution. Express this solution using the right number of significant figures. A. 135.0 meters/liter B. 100 meters/liter C. 135.00 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A caliper with a precision of +/- 0.03 meters takes a measurement of 7.03 meters, and a radar-based method with a precision of +/- 400 meters measures a distance between two different points as 2900 meters. Using a calculator app, you multiply the former number by the latter and get the output. How can we express this output to the suitable number of significant figures? A. 20387.00 meters^2 B. 20000 meters^2 C. 20300 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A ruler with a precision of +/- 0.0001 meters takes a measurement of 0.0260 meters, and a tape measure with a precision of +/- 0.0003 meters reads 0.0794 meters when measuring a distance between two different points. Your calculator yields the output when multiplying the former number by the latter. If we express this output suitably with respect to the number of significant figures, what is the answer? A. 0.002 meters^2 B. 0.0021 meters^2 C. 0.00206 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 300 meters takes a measurement of 52900 meters, and a Biltmore stick with a precision of +/- 0.01 meters measures a distance between two different points as 0.56 meters. After dividing the numbers your calculator app gives the solution. If we round this solution to the appropriate level of precision, what is the answer? A. 94000 B. 94400 C. 94464.29 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 300 meters takes a measurement of 76300 meters, and a stadimeter with a precision of +/- 0.2 meters reads 7.8 meters when measuring a distance between two different points. Your calculator app yields the output when multiplying the numbers. If we express this output properly with respect to the number of significant figures, what is the answer? A. 595100 meters^2 B. 600000 meters^2 C. 595140.00 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.02 meters measures a distance of 22.53 meters and a coincidence telemeter with a precision of +/- 0.3 meters reads 982.4 meters when measuring a distance between two different points. You multiply the numbers with a calculator app and get the solution. Using the correct number of significant figures, what is the answer? A. 22133.5 meters^2 B. 22130 meters^2 C. 22133.4720 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A spring scale with a precision of +/- 2 grams takes a measurement of 60 grams, and a rangefinder with a precision of +/- 0.3 meters reads 6.8 meters when measuring a distance. After multiplying the former number by the latter your computer produces the output. If we write this output appropriately with respect to the level of precision, what is the answer? A. 408.00 gram-meters B. 410 gram-meters C. 408 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 20 meters measures a distance of 170 meters and a cathetometer with a precision of +/- 0.0001 meters reads 0.0005 meters when measuring a distance between two different points. Using a calculator, you divide the two numbers and get the output. How would this result look if we wrote it with the right number of significant figures? A. 340000.0 B. 300000 C. 340000 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A clickwheel with a precision of +/- 0.4 meters takes a measurement of 1.9 meters, and an analytical balance with a precision of +/- 3 grams reads 149 grams when measuring a mass. Using a calculator app, you multiply the values and get the output. How can we express this output to the proper number of significant figures? A. 283 gram-meters B. 283.10 gram-meters C. 280 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 300 grams measures a mass of 1000 grams and a graduated cylinder with a precision of +/- 0.002 liters measures a volume as 0.942 liters. You divide the first number by the second number with a calculator app and get the solution. If we report this solution correctly with respect to the number of significant figures, what is the answer? A. 1100 grams/liter B. 1061.57 grams/liter C. 1000 grams/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A graduated cylinder with a precision of +/- 0.003 liters takes a measurement of 0.077 liters, and a timer with a precision of +/- 0.004 seconds measures a duration as 0.043 seconds. After dividing the two numbers your computer gets the output. How can we round this output to the proper level of precision? A. 1.79 liters/second B. 1.791 liters/second C. 1.8 liters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A clickwheel with a precision of +/- 0.03 meters takes a measurement of 7.29 meters, and a measuring rod with a precision of +/- 0.001 meters measures a distance between two different points as 0.006 meters. You divide the first number by the second number with a calculator and get the solution. How can we express this solution to the proper number of significant figures? A. 1215.0 B. 1000 C. 1215.00 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.2 seconds measures a duration of 734.7 seconds and a tape measure with a precision of +/- 0.001 meters reads 0.193 meters when measuring a distance. After dividing the former number by the latter your calculator app produces the solution. How can we round this solution to the proper number of significant figures? A. 3810 seconds/meter B. 3806.736 seconds/meter C. 3806.7 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring flask with a precision of +/- 0.04 liters takes a measurement of 22.27 liters, and a caliper with a precision of +/- 0.002 meters measures a distance as 0.351 meters. After dividing the former value by the latter your calculator yields the output. Round this output using the suitable level of precision. A. 63.447 liters/meter B. 63.45 liters/meter C. 63.4 liters/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 0.0002 grams measures a mass of 0.0509 grams and a stopwatch with a precision of +/- 0.003 seconds measures a duration as 0.099 seconds. Your calculator gives the output when multiplying the numbers. How can we express this output to the correct level of precision? A. 0.005 gram-seconds B. 0.01 gram-seconds C. 0.0050 gram-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 100 grams takes a measurement of 7400 grams, and a stopwatch with a precision of +/- 0.004 seconds measures a duration as 0.266 seconds. Your calculator gives the output when multiplying the numbers. Using the suitable number of significant figures, what is the result? A. 2000 gram-seconds B. 1900 gram-seconds C. 1968.40 gram-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 40 grams measures a mass of 4320 grams and a clickwheel with a precision of +/- 0.1 meters measures a distance as 0.4 meters. Using a calculator, you divide the values and get the output. When this output is written to the right level of precision, what do we get? A. 10800 grams/meter B. 10000 grams/meter C. 10800.0 grams/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A spring scale with a precision of +/- 4000 grams takes a measurement of 6507000 grams, and a timer with a precision of +/- 0.03 seconds reads 5.85 seconds when measuring a duration. Your calculator app yields the solution when dividing the numbers. When this solution is rounded to the right level of precision, what do we get? A. 1112307.692 grams/second B. 1110000 grams/second C. 1112000 grams/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A meter stick with a precision of +/- 0.0003 meters takes a measurement of 0.0321 meters, and a measuring rod with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0670 meters. After multiplying the first value by the second value your calculator app produces the solution. Report this solution using the suitable number of significant figures. A. 0.0022 meters^2 B. 0.002 meters^2 C. 0.00215 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stopwatch with a precision of +/- 0.004 seconds measures a duration of 3.729 seconds and a graduated cylinder with a precision of +/- 0.001 liters reads 0.098 liters when measuring a volume. Your calculator produces the output when dividing the former number by the latter. How would this answer look if we reported it with the proper number of significant figures? A. 38.051 seconds/liter B. 38 seconds/liter C. 38.05 seconds/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 100 meters measures a distance of 841000 meters and a stopwatch with a precision of +/- 0.2 seconds measures a duration as 6.3 seconds. Your calculator produces the output when multiplying the values. How can we report this output to the appropriate level of precision? A. 5298300.00 meter-seconds B. 5300000 meter-seconds C. 5298300 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A meter stick with a precision of +/- 0.0004 meters takes a measurement of 0.1248 meters, and a rangefinder with a precision of +/- 0.0003 meters reads 0.0704 meters when measuring a distance between two different points. Using a calculator app, you multiply the first value by the second value and get the output. Using the right level of precision, what is the answer? A. 0.00879 meters^2 B. 0.0088 meters^2 C. 0.009 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 20 meters takes a measurement of 29120 meters, and an analytical balance with a precision of +/- 30 grams measures a mass as 1570 grams. Your calculator app gets the solution when multiplying the first value by the second value. If we write this solution appropriately with respect to the number of significant figures, what is the result? A. 45700000 gram-meters B. 45718400.000 gram-meters C. 45718400 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring stick with a precision of +/- 0.03 meters measures a distance of 4.93 meters and an analytical balance with a precision of +/- 0.001 grams reads 0.413 grams when measuring a mass. After dividing the two values your computer produces the solution. Using the appropriate level of precision, what is the result? A. 11.937 meters/gram B. 11.9 meters/gram C. 11.94 meters/gram Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 3000 meters takes a measurement of 833000 meters, and a chronograph with a precision of +/- 0.004 seconds measures a duration as 8.871 seconds. You divide the first number by the second number with a computer and get the output. If we express this output correctly with respect to the level of precision, what is the result? A. 93901.477 meters/second B. 93900 meters/second C. 93000 meters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 3000 meters takes a measurement of 250000 meters, and a measuring tape with a precision of +/- 0.1 meters reads 480.2 meters when measuring a distance between two different points. You multiply the numbers with a calculator app and get the output. If we express this output properly with respect to the level of precision, what is the result? A. 120000000 meters^2 B. 120050000.000 meters^2 C. 120050000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 10 meters measures a distance of 4830 meters and a measuring stick with a precision of +/- 0.3 meters measures a distance between two different points as 5.1 meters. You divide the former number by the latter with a calculator and get the output. Using the appropriate level of precision, what is the result? A. 940 B. 947.06 C. 950 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.4 meters takes a measurement of 6.3 meters, and a caliper with a precision of +/- 0.003 meters measures a distance between two different points as 0.010 meters. Your calculator app yields the output when multiplying the two numbers. If we express this output to the appropriate number of significant figures, what is the result? A. 0.06 meters^2 B. 0.1 meters^2 C. 0.063 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A clickwheel with a precision of +/- 0.01 meters takes a measurement of 0.84 meters, and a measuring stick with a precision of +/- 0.001 meters reads 0.006 meters when measuring a distance between two different points. After dividing the two values your computer produces the solution. If we round this solution correctly with respect to the level of precision, what is the result? A. 100 B. 140.00 C. 140.0 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A graduated cylinder with a precision of +/- 0.001 liters takes a measurement of 0.009 liters, and a tape measure with a precision of +/- 0.0002 meters measures a distance as 0.0007 meters. Your calculator produces the output when dividing the former value by the latter. When this output is expressed to the correct level of precision, what do we get? A. 10 liters/meter B. 12.857 liters/meter C. 12.9 liters/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A rangefinder with a precision of +/- 0.04 meters takes a measurement of 0.96 meters, and a graduated cylinder with a precision of +/- 0.003 liters measures a volume as 0.009 liters. Using a computer, you divide the first number by the second number and get the solution. If we report this solution to the suitable number of significant figures, what is the answer? A. 106.67 meters/liter B. 100 meters/liter C. 106.7 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.3 meters takes a measurement of 915.8 meters, and a cathetometer with a precision of +/- 0.00003 meters reads 0.00087 meters when measuring a distance between two different points. You divide the former value by the latter with a calculator and get the output. Round this output using the suitable number of significant figures. A. 1052643.7 B. 1052643.68 C. 1100000 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 20 meters takes a measurement of 30 meters, and a rangefinder with a precision of +/- 4 meters reads 900 meters when measuring a distance between two different points. Your calculator app produces the output when multiplying the two numbers. Using the suitable number of significant figures, what is the result? A. 27000 meters^2 B. 30000 meters^2 C. 27000.0 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 100 meters measures a distance of 65100 meters and a spring scale with a precision of +/- 0.04 grams measures a mass as 0.34 grams. You divide the first number by the second number with a calculator and get the output. If we write this output to the appropriate level of precision, what is the answer? A. 191400 meters/gram B. 191470.59 meters/gram C. 190000 meters/gram Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 2000 meters measures a distance of 10000 meters and a ruler with a precision of +/- 0.04 meters measures a distance between two different points as 5.12 meters. Your computer yields the output when dividing the two numbers. How can we report this output to the right level of precision? A. 2000 B. 1000 C. 1953.12 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A timer with a precision of +/- 0.1 seconds measures a duration of 95.8 seconds and a clickwheel with a precision of +/- 0.004 meters measures a distance as 9.912 meters. After dividing the first number by the second number your calculator gets the solution. When this solution is written to the proper number of significant figures, what do we get? A. 9.67 seconds/meter B. 9.665 seconds/meter C. 9.7 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 1 meters takes a measurement of 3310 meters, and a meter stick with a precision of +/- 0.0001 meters reads 0.0442 meters when measuring a distance between two different points. Using a calculator, you divide the former number by the latter and get the output. If we round this output to the proper level of precision, what is the answer? A. 74900 B. 74886 C. 74886.878 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.1 meters measures a distance of 53.6 meters and a chronometer with a precision of +/- 0.0004 seconds measures a duration as 0.0862 seconds. Your computer yields the solution when multiplying the first value by the second value. Using the suitable number of significant figures, what is the answer? A. 4.62 meter-seconds B. 4.620 meter-seconds C. 4.6 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.2 meters measures a distance of 37.6 meters and a measuring flask with a precision of +/- 0.04 liters reads 0.32 liters when measuring a volume. After multiplying the former number by the latter your calculator app gets the solution. Using the suitable number of significant figures, what is the answer? A. 12 liter-meters B. 12.03 liter-meters C. 12.0 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A biltmore stick with a precision of +/- 0.02 meters takes a measurement of 0.07 meters, and a graduated cylinder with a precision of +/- 0.001 liters reads 0.008 liters when measuring a volume. Using a calculator, you divide the first number by the second number and get the output. If we round this output appropriately with respect to the level of precision, what is the answer? A. 8.8 meters/liter B. 8.75 meters/liter C. 9 meters/liter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 1000 meters takes a measurement of 55000 meters, and a measuring stick with a precision of +/- 0.002 meters reads 6.692 meters when measuring a distance between two different points. After multiplying the two values your computer yields the solution. How can we write this solution to the right number of significant figures? A. 370000 meters^2 B. 368000 meters^2 C. 368060.00 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A coincidence telemeter with a precision of +/- 1 meters takes a measurement of 9756 meters, and a cathetometer with a precision of +/- 0.00002 meters measures a distance between two different points as 0.09244 meters. After dividing the former value by the latter your calculator gets the solution. Using the right level of precision, what is the answer? A. 105538.7278 B. 105500 C. 105538 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 0.0004 grams measures a mass of 0.2872 grams and a timer with a precision of +/- 0.004 seconds reads 0.010 seconds when measuring a duration. Using a computer, you divide the two numbers and get the solution. Round this solution using the appropriate level of precision. A. 28.720 grams/second B. 29 grams/second C. 28.72 grams/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A meter stick with a precision of +/- 0.0003 meters measures a distance of 0.4560 meters and a spring scale with a precision of +/- 0.002 grams reads 0.071 grams when measuring a mass. Using a computer, you divide the former number by the latter and get the output. If we write this output suitably with respect to the level of precision, what is the answer? A. 6.423 meters/gram B. 6.4 meters/gram C. 6.42 meters/gram Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.004 seconds takes a measurement of 0.004 seconds, and a ruler with a precision of +/- 0.0002 meters measures a distance as 0.0003 meters. You divide the former number by the latter with a calculator and get the output. If we write this output to the appropriate level of precision, what is the result? A. 10 seconds/meter B. 13.3 seconds/meter C. 13.333 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A ruler with a precision of +/- 0.3 meters measures a distance of 514.7 meters and a caliper with a precision of +/- 0.003 meters reads 0.077 meters when measuring a distance between two different points. Using a calculator, you divide the numbers and get the solution. How would this result look if we wrote it with the proper number of significant figures? A. 6684.4 B. 6700 C. 6684.42 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A meter stick with a precision of +/- 0.0004 meters measures a distance of 0.5904 meters and a chronometer with a precision of +/- 0.0002 seconds reads 0.0919 seconds when measuring a duration. You divide the two values with a calculator app and get the solution. When this solution is rounded to the right level of precision, what do we get? A. 6.4244 meters/second B. 6.42 meters/second C. 6.424 meters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A caliper with a precision of +/- 0.01 meters measures a distance of 40.66 meters and a measuring stick with a precision of +/- 0.004 meters reads 8.044 meters when measuring a distance between two different points. You divide the numbers with a calculator and get the solution. Using the correct number of significant figures, what is the result? A. 5.0547 B. 5.055 C. 5.05 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.2 seconds measures a duration of 83.6 seconds and a spring scale with a precision of +/- 3000 grams measures a mass as 5742000 grams. Using a calculator, you multiply the numbers and get the output. How can we express this output to the suitable level of precision? A. 480000000 gram-seconds B. 480031200.000 gram-seconds C. 480031000 gram-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An analytical balance with a precision of +/- 0.2 grams takes a measurement of 284.9 grams, and a caliper with a precision of +/- 0.01 meters measures a distance as 9.26 meters. You multiply the two numbers with a calculator and get the solution. Report this solution using the suitable level of precision. A. 2638.174 gram-meters B. 2640 gram-meters C. 2638.2 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 4000 meters takes a measurement of 381000 meters, and an analytical balance with a precision of +/- 10 grams reads 29810 grams when measuring a mass. Your calculator yields the output when multiplying the former number by the latter. If we express this output to the suitable level of precision, what is the answer? A. 11400000000 gram-meters B. 11357610000.000 gram-meters C. 11357610000 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A coincidence telemeter with a precision of +/- 1 meters takes a measurement of 1422 meters, and a caliper with a precision of +/- 0.04 meters measures a distance between two different points as 25.26 meters. You multiply the former value by the latter with a calculator app and get the solution. When this solution is rounded to the appropriate level of precision, what do we get? A. 35920 meters^2 B. 35919 meters^2 C. 35919.7200 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A ruler with a precision of +/- 0.3 meters measures a distance of 1.0 meters and an opisometer with a precision of +/- 0.003 meters measures a distance between two different points as 0.088 meters. Using a calculator, you multiply the former value by the latter and get the solution. How can we express this solution to the right number of significant figures? A. 0.1 meters^2 B. 0.088 meters^2 C. 0.09 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An analytical balance with a precision of +/- 100 grams takes a measurement of 520400 grams, and a hydraulic scale with a precision of +/- 30 grams reads 10 grams when measuring a mass of a different object. Using a calculator app, you multiply the values and get the output. If we report this output suitably with respect to the level of precision, what is the result? A. 5000000 grams^2 B. 5204000 grams^2 C. 5204000.0 grams^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A spring scale with a precision of +/- 0.4 grams takes a measurement of 469.5 grams, and a stopwatch with a precision of +/- 0.004 seconds reads 0.067 seconds when measuring a duration. After dividing the two values your computer yields the output. If we report this output to the correct level of precision, what is the answer? A. 7007.5 grams/second B. 7007.46 grams/second C. 7000 grams/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A chronograph with a precision of +/- 0.01 seconds measures a duration of 0.42 seconds and a clickwheel with a precision of +/- 0.03 meters measures a distance as 0.07 meters. You divide the first value by the second value with a calculator and get the solution. How can we report this solution to the appropriate level of precision? A. 6.0 seconds/meter B. 6 seconds/meter C. 6.00 seconds/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 3 liters takes a measurement of 6818 liters, and a spring scale with a precision of +/- 0.1 grams measures a mass as 7.0 grams. After multiplying the first value by the second value your calculator app gets the solution. When this solution is reported to the suitable level of precision, what do we get? A. 48000 gram-liters B. 47726 gram-liters C. 47726.00 gram-liters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 0.01 meters measures a distance of 4.03 meters and a tape measure with a precision of +/- 0.002 meters measures a distance between two different points as 0.005 meters. After dividing the first value by the second value your calculator produces the solution. How would this answer look if we rounded it with the proper level of precision? A. 806.00 B. 806.0 C. 800 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 3 meters measures a distance of 6 meters and a caliper with a precision of +/- 0.002 meters measures a distance between two different points as 8.196 meters. After multiplying the numbers your calculator gets the output. Write this output using the suitable number of significant figures. A. 50 meters^2 B. 49 meters^2 C. 49.2 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 2000 meters measures a distance of 318000 meters and a hydraulic scale with a precision of +/- 0.02 grams measures a mass as 0.06 grams. Using a computer, you multiply the two values and get the output. Express this output using the suitable number of significant figures. A. 19080.0 gram-meters B. 19000 gram-meters C. 20000 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 200 meters takes a measurement of 65900 meters, and an odometer with a precision of +/- 300 meters reads 4100 meters when measuring a distance between two different points. After multiplying the first value by the second value your calculator gives the output. If we write this output correctly with respect to the number of significant figures, what is the answer? A. 270000000 meters^2 B. 270190000.00 meters^2 C. 270190000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 1000 meters measures a distance of 7523000 meters and a stadimeter with a precision of +/- 3 meters reads 756 meters when measuring a distance between two different points. You multiply the numbers with a computer and get the solution. When this solution is expressed to the suitable level of precision, what do we get? A. 5690000000 meters^2 B. 5687388000 meters^2 C. 5687388000.000 meters^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 4000 meters takes a measurement of 331000 meters, and a chronometer with a precision of +/- 0.0004 seconds reads 0.0767 seconds when measuring a duration. After multiplying the former number by the latter your calculator yields the output. Express this output using the right level of precision. A. 25000 meter-seconds B. 25400 meter-seconds C. 25387.700 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An odometer with a precision of +/- 4000 meters measures a distance of 120000 meters and a measuring rod with a precision of +/- 0.0001 meters reads 0.4044 meters when measuring a distance between two different points. You divide the first number by the second number with a computer and get the solution. How can we round this solution to the correct level of precision? A. 296735.905 B. 297000 C. 296000 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.02 meters measures a distance of 0.06 meters and a rangefinder with a precision of +/- 0.004 meters measures a distance between two different points as 0.050 meters. After dividing the values your calculator app yields the solution. Using the appropriate number of significant figures, what is the answer? A. 1 B. 1.20 C. 1.2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A hydraulic scale with a precision of +/- 0.1 grams takes a measurement of 243.0 grams, and a tape measure with a precision of +/- 0.003 meters measures a distance as 0.010 meters. Your computer gives the output when dividing the former number by the latter. If we report this output properly with respect to the level of precision, what is the answer? A. 24300.0 grams/meter B. 24000 grams/meter C. 24300.00 grams/meter Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 400 grams takes a measurement of 603700 grams, and a spring scale with a precision of +/- 20 grams reads 60 grams when measuring a mass of a different object. Using a calculator app, you multiply the two numbers and get the solution. If we express this solution correctly with respect to the level of precision, what is the result? A. 36222000 grams^2 B. 36222000.0 grams^2 C. 40000000 grams^2 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- An opisometer with a precision of +/- 4 meters takes a measurement of 3778 meters, and a coincidence telemeter with a precision of +/- 0.4 meters reads 444.4 meters when measuring a distance between two different points. After dividing the former number by the latter your calculator produces the output. If we report this output to the right level of precision, what is the answer? A. 8 B. 8.5014 C. 8.501 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 0.2 liters takes a measurement of 4.6 liters, and a Biltmore stick with a precision of +/- 0.4 meters reads 254.1 meters when measuring a distance. Using a calculator, you multiply the numbers and get the output. How can we express this output to the correct level of precision? A. 1200 liter-meters B. 1168.9 liter-meters C. 1168.86 liter-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A measuring tape with a precision of +/- 0.3 meters measures a distance of 3.2 meters and a meter stick with a precision of +/- 0.0003 meters measures a distance between two different points as 0.0024 meters. After dividing the former value by the latter your calculator app gets the solution. Express this solution using the suitable number of significant figures. A. 1333.3 B. 1300 C. 1333.33 Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A balance with a precision of +/- 30 grams measures a mass of 3770 grams and a chronograph with a precision of +/- 0.004 seconds measures a duration as 3.819 seconds. You multiply the first number by the second number with a computer and get the solution. How would this result look if we reported it with the suitable number of significant figures? A. 14397.630 gram-seconds B. 14400 gram-seconds C. 14390 gram-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A coincidence telemeter with a precision of +/- 300 meters measures a distance of 90800 meters and a chronometer with a precision of +/- 0.0002 seconds measures a duration as 0.0032 seconds. After multiplying the former value by the latter your computer yields the output. If we round this output to the suitable number of significant figures, what is the answer? A. 290.56 meter-seconds B. 200 meter-seconds C. 290 meter-seconds Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A radar-based method with a precision of +/- 4 meters measures a distance of 7 meters and a chronometer with a precision of +/- 0.00001 seconds reads 0.07481 seconds when measuring a duration. Using a calculator, you divide the former value by the latter and get the solution. If we express this solution suitably with respect to the level of precision, what is the result? A. 93.6 meters/second B. 93 meters/second C. 90 meters/second Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A stadimeter with a precision of +/- 1 meters takes a measurement of 18 meters, and a balance with a precision of +/- 20 grams reads 890 grams when measuring a mass. You multiply the first number by the second number with a calculator app and get the output. If we write this output to the correct number of significant figures, what is the answer? A. 16000 gram-meters B. 16020 gram-meters C. 16020.00 gram-meters Answer:

NOTE: To propagate uncertainty when multiplying or dividing two measurements, count the number of significant figures in each. Your result should be reported to the number of significant figures in the measurement having the lesser number of significant figures. Note that 'significant figures' are different than 'decimal places'; see rules at https://en.wikipedia.org/w/index.php?title=Significant_figures&oldid=1114415444#Identifying_significant_figures . Rounding a number to N significant figures is similar to rounding to N digits after the decimal point, except that we start counting from the beginning of the number. For example, 71.25150 rounded to three significant figures is 71.3, to four is 71.25, and to one is 70. (If the N + 1 digit is 5 followed by nothing or by zeros only, use the 'round half to even' tiebreaking rule). --- A storage container with a precision of +/- 40 liters measures a volume of 53170 liters and a chronograph with a precision of +/- 0.01 seconds reads 3.26 seconds when measuring a duration. You multiply the two values with a computer and get the output. When this output is written to the proper number of significant figures, what do we get? A. 173334.200 liter-seconds B. 173000 liter-seconds C. 173330 liter-seconds Answer: