Please, check this rounding
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Please, check this rounding

Please, check this rounding

[From: ] [author: ] [Date: 11-11-05] [Hit: ]
951) + (0.951^2)) = 0.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,......
((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.

-
Your first answer has four sig figs because of the sandwich rule (if surrounded by sig figs, zero becomes significant). The latter is correct.

-
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.

-
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.
1
keywords: rounding,check,this,Please,Please, check this rounding
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .