((3.14200 * 1.23400) / 12) * ((0.424^2) + (0.424 * 0.951) + (0.951^2)) = 0.480582734
Round the answer to the required level of accuracy, given the fact that each number other than those to be ignored, has been obtained by measurement.
Ignore: power 2, divisor 12
My answers: either 0.4806 which has only 3 sig figs or 0.481
But I am not sure if I could use the latter variant. I'd like to know why in case I can't use 0.481
Thanks.
Round the answer to the required level of accuracy, given the fact that each number other than those to be ignored, has been obtained by measurement.
Ignore: power 2, divisor 12
My answers: either 0.4806 which has only 3 sig figs or 0.481
But I am not sure if I could use the latter variant. I'd like to know why in case I can't use 0.481
Thanks.
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Your first answer has four sig figs because of the sandwich rule (if surrounded by sig figs, zero becomes significant). The latter is correct.
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Strictly speaking your answer cannot be any more precise than 3 digits because the smallest number in your inputs has only 3 digits. This gives you 0.481.
However, despite this limitation, in doing experimental work, scientists often tack on the next digit because it might suggest a little bit more precision.
However, despite this limitation, in doing experimental work, scientists often tack on the next digit because it might suggest a little bit more precision.
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0.4806 is four sig. figures and implies an accuracy of 0.5 in 4806 i.e. 0.01% so high accuracy !
0.481 implies an accuracy of 0.5 in 481 i.e. 0.1 %
Update: I agree that you should not claim more than 3 sig. figs. because of your input data, so 0.481 is the correct rounded answer to give.
0.481 implies an accuracy of 0.5 in 481 i.e. 0.1 %
Update: I agree that you should not claim more than 3 sig. figs. because of your input data, so 0.481 is the correct rounded answer to give.