Alexis calculates the surface area of a gift box as 600square inches. The actual surface area of the gift box is 592 square inches. Find the relative error of Alexis' calculation expressed to as a decimal to the nearest thousandth.

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Alexis calculates the surface area of a gift box as 600square inches. The actual surface area of the gift box is 592 square inches. Find the relative error of Alexis' calculation expressed to as a decimal to the nearest thousandth.

Mathematics
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The relative error is given by the relative difference, which is defined as\[\frac{(final)-(initial)}{(initial)}\]so here,\[\frac{600-592}{592}=0.014\]expressed to the nearest thousandth.

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