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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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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?
significant figures in the original numbers used in the calculation. This means the final answer should be rounded to the same number of significant figures as the number with the least amount of significant figures.
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
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.
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.
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 signitifcant figures?
I believe you mean significant figures. Take an example. If you measure the length of a table as 1.52 m and its width as 1.46 m, each is measured to the nearest cm, and the values have just 3 significant figures. So the area of the table could be calculated as 1.52 x 1.46 = 2.2192 m2. But as the length could actually be between 1.515 and 1.525m, and similarly for the width, the area of the table could be between 1.515 x 1.455 = 2.2043 m2 and 1.525 x 1.465 = 2.2341 m2. So the answer should be given to 3 significant figures (2.22 m2) as the 4th and 5th figures are not significant. As a general rule, in multiplication and division the number of significant figures given in your answer should be no more than the smallest number of significant figures found in any of the numbers used to do the multiplication (or division). 4.5 x 4.653 x 3.234 = 67.715109 = 68 to 2 sig.figs.
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 final answer should have three significant figures as dictated by the measurements provided (10.04 grams and 8.21 cubic centimeters). The result of the calculation cannot have more significant figures than the least precise measurement.
