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What is the percent error for a measurement of $2$ kilometers? $\newline$ 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

kilometers?

\newline

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

\newline

\newline

\_\_\_\%

Find Error for $2$ km: Find the greatest possible error for $2$ kilometers. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Since the problem does not specify the smallest unit of measurement, we will assume it is $1$ meter (which is a common smallest unit for kilometer measurements). $\newline$ $1$ meter = $0.001$ kilometers $\newline$ Greatest possible error: $0.001$ kilometers
Calculate Percent Error: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ kilometers $\newline$ Greatest possible error: $0.001$ kilometers $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.001 / 2) \times 100\%$
Perform Calculation: Perform the calculation. $\newline$ Percent error = $0.0005 \times 100\%$ $\newline$ Percent error = $0.05\%$
Round Final Percent: Round the answer to the nearest hundredth of a percent if necessary. $\newline$ The calculated percent error is already at the hundredth of a percent, so no rounding is needed. $\newline$ Final percent error = $0.05\%$

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