Question

In expressing a length 81.472 km as nearly as possible with three significant digits, find the percentage error.

Answer 1

Error = (81.5 - 81.472) = 0.028
Required percentage = \begin{aligned}
\frac{0.028}{81.472} \times 100 = 0.034 %
\end{aligned}

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Answer 2

The percentage error is 0.34.

Explanation:

81.472 km can be written as 81.5 km with three significant digits. We need to find the percentage error. We know that the percentage  error is given by the formula as :

Percentage error = difference/initial value ×100

$\text{percentage error}=\dfrac{81.5-81.472}{81.472}\times 100\\\\\text{percentage error}=0.34$

So, the percentage error is 0.34. Hence, this is the required solution.

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