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What is the percent error for a measurement of $2$ miles? $\newline$ If needed, round your answer to the nearest hundredth of a percent. $\newline$ $\newline$ $\_\_\_\_\%$

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Q. What is the percent error for a measurement of

2

miles?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

\_\_\_\_\%

Find Error Range: Find the greatest possible error for $2$ miles. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Assuming the smallest unit of measurement is $0.01$ miles (since miles are often measured to the nearest hundredth), we get: $\newline$ $0.01/2 = 0.005$ $\newline$ Greatest possible error: $0.005$ miles
Calculate Percent Error: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ miles $\newline$ Greatest possible error: $0.005$ miles $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.005 / 2) \times 100\%$ $\newline$ = $0.0025 \times 100\%$ $\newline$ = $0.25\%$

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