Question

The solution of a problem is given as 25.35 with relative error at most 3% .Find Range of values in which the Exact Value of the solution lies.

Answer 1

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MATH HELP

Sun K. asked • 11/22/13

Find the errors?

Find the absolute, relative and percentage errors when a) 2/3 is approximated to 0.667, b) 1/3 is approximated to 0.333, and c) true value is 0.50 and its calculated value was 0.49.

For part a), I got 0.00033 for the absolute error. Please use latex and show the work, thanks.

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Nataliya D. answered • 11/22/13

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a) Absolute error =| Approx. value - True value | = | 0.667 - 2/3 | = 1/3000

Relative error = Absolute error/True value = (1/3000)/(2/3) = 0.0005

Percentage error = 0.05%

b) Absolute error = | Approx. value - True value | = | 0.333 - 1/3 | = 1/3000

Relative error = Absolute error/True value = (1/3000)/(1/3) = 0.001

Percentage error = 0.1%