Question

A number 5.78 x 10³ is wrongly written as 5.87 x 10³; find the percentage error

Answer 1

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%