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Examples in multiplication and division of significant figures?
Wiki User
∙ 11y ago
Multiplication and Division
Round the answer to the same number of significant figures (sig figs) as the measurement with the fewest sig figs in the problem.
34.9cm x 4.7cm = 164.03cm2 = 160cm2 (rounded to two sig figs)
271.0g/99.8cm3 = 2.71543g/cm3 = 2.715 (rounded to four sig figs)
Addition and Subtraction
Round the answer to the fewest decimal places as the measurement with the fewest decimal places.
9.45kg + 8.329kg = 17.78kg (rounded to two decimal places)
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∙ 11y ago
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List some rules used to determine the number of significant figures and how they differ for addition and subtraction vs multiplication and division?
For multiplication/division, use the least number of significant figures (ie 6.24 * 2.0 = 12). For addition subtraction, use the least specific number (ie 28.24 - 2.1 = 26.1)
What are the rules in multiplication and division of significant figures?
The accuracy of the answer is limited to the LEAST significant figures of the input. So if two measured quantities are multiplied or divided, one of which is accurate to only two significant figures, and other to six significant figures, the answer is only accurate to two significant figures. HOWEVER: use all the figures you have for the calculation, and then round your answer to two significant figures. Also, however, remember that if you are multiplying by an actual exact number, as in doubling, the significant figures of that 2 is unlimited, so the answer is only limited by the significant figures of the number you are doubling.
For the multiplication of 8.1 m times 6.4 m the result should be reported with how many significant figures?
2 of them.
How many significant figures would be in the result of the multiplication of 2.305956 and 198.40?
Your calculator will produce 10, but only the first 5 mean anything.
How many significant figures in this number 0.025?
There are two significant figures in 0.025.
When finding significant figures for multiplication and division problems you go by the least number of?
multiplication/division: least number of significant figures addition/subtraction: least number of numbers to the right of decimal point
What are the values in determining the number of significant figures involving the four mathematical operations?
addition multiplication division subtraction
List some rules used to determine the number of significant figures and how they differ for addition and subtraction vs multiplication and division?
For multiplication/division, use the least number of significant figures (ie 6.24 * 2.0 = 12). For addition subtraction, use the least specific number (ie 28.24 - 2.1 = 26.1)
How many significant figures do you use in multiplication?
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
How do you do significant figures when more than one operation is involved?
It depends on the operation - for multiplication, the ammount of significant figures is the same as the multiple that has the least. Same for division. For subtraction and addition, the significant figures are decided by the least ammount of spaces past the decimal in the answer. For example, 30.7+2.111111111 would be 30.8
How many significant figures would be in theresult of the multiplication of 2.305956 and 198.40?
The result is 457,50 - with two significant figures.
What are the rules in multiplication and division of significant figures?
The accuracy of the answer is limited to the LEAST significant figures of the input. So if two measured quantities are multiplied or divided, one of which is accurate to only two significant figures, and other to six significant figures, the answer is only accurate to two significant figures. HOWEVER: use all the figures you have for the calculation, and then round your answer to two significant figures. Also, however, remember that if you are multiplying by an actual exact number, as in doubling, the significant figures of that 2 is unlimited, so the answer is only limited by the significant figures of the number you are doubling.
75.6 x 12.33 in significant figures?
Count the significant figures in each number. Calculate the minimum of these numbers. Do the multiplication Round the product to the LEAST number of significant figures, determined above.
Using proper signification figures what is the answer to the problem 55.0 m s 3.027 s?
It isn't clear what the question is. If you are supposed to multiply or divide, and if by "signification figures" you mean significant digits, do the multiplication (or division), then round to three significant digits - since the least-precise of the numbers only has three significant digits.
Rules in determining significant figures in four fundamental operations?
The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)
What is 923 divided by 20312 with correct amount of significant figures?
0.0454
A student calculates the density of an unknown solid The mass is 10.04 grams and the volume is 8.21 cubic centimeters How many significant figures should appear in the final answer?
The general rule is that the final result should not be more accurate than the numbers used to obtain this final result. In the case of a multiplication or division, this means that the final result can't have more significant digits than the original numbers. One of the numbers has 4 significant figures, the other 3; therefore, the final result should be rounded to 3 significant figures. If more significant figures are quoted, a special note should be made that the last digits are uncertain.The general rule is that the final result should not be more accurate than the numbers used to obtain this final result. In the case of a multiplication or division, this means that the final result can't have more significant digits than the original numbers. One of the numbers has 4 significant figures, the other 3; therefore, the final result should be rounded to 3 significant figures. If more significant figures are quoted, a special note should be made that the last digits are uncertain.The general rule is that the final result should not be more accurate than the numbers used to obtain this final result. In the case of a multiplication or division, this means that the final result can't have more significant digits than the original numbers. One of the numbers has 4 significant figures, the other 3; therefore, the final result should be rounded to 3 significant figures. If more significant figures are quoted, a special note should be made that the last digits are uncertain.The general rule is that the final result should not be more accurate than the numbers used to obtain this final result. In the case of a multiplication or division, this means that the final result can't have more significant digits than the original numbers. One of the numbers has 4 significant figures, the other 3; therefore, the final result should be rounded to 3 significant figures. If more significant figures are quoted, a special note should be made that the last digits are uncertain.
