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

liters?

\newline

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

\newline

\newline

\_\_\_\_\%

Find Error: Find the greatest possible error for $2$ liters. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Assuming the smallest unit of measurement is $0.1$ liters (since the problem does not specify), we get: $\newline$ $\frac{0.1}{2} = 0.05$ $\newline$ Greatest possible error: $0.05$ liters
Calculate Percent: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ liters $\newline$ Greatest possible error: $0.05$ liters $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.05/2) \times 100\%$
Perform Calculation: Perform the calculation. $\newline$ Percent error = $0.025 \times 100\%$ $\newline$ Percent error = $2.5\%$

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