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Question
A number 5.78 x 103 is wrongly written as 5.87 x 103; find the percentage error
Solution
Correct number = 5.78 x 103
Number wrongly written as = 5.87 x 103
Error
= 5.87 x 103 - 5.78 x 103
= 0.09 x 103
% Error
= `(0.09 xx 10^3)/(5.78 xx 10^3) xx 100`
= `(0.09)/(5.78) xx 100`
= `(9)/(578) xx 100`
= `(900)/(578) %`
= 1.56%
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