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

gallons?

\newline

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

\newline

\newline

\_\_\%

Find Error for $2$ Gallons: Find the greatest possible error for $2$ gallons. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Since the smallest unit is not specified, we will assume it is $1$ pint (as pints are commonly used smaller units for gallons). There are $8$ pints in a gallon, so the smallest unit for $2$ gallons is $1$ pint. $\newline$ $1$ pint $/$ $2$ = $0.5$ pint $\newline$ Greatest possible error: $0.5$ pint
Convert Error to Gallons: Convert the greatest possible error from pints to gallons. $\newline$ Since there are $8$ pints in a gallon, we need to divide the error in pints by $8$ to get the error in gallons. $\newline$ $0.5$ pint $/$ $8$ = $0.0625$ gallon $\newline$ Greatest possible error in gallons: $0.0625$ gallon
Calculate Percent Error: Calculate the percent error. $\newline$ Percent error = $(\frac{\text{Greatest possible error}}{\text{Measurement}}) \times 100\%$ $\newline$ Percent error = $(\frac{0.0625 \text{ gallon}}{2 \text{ gallons}}) \times 100\%$ $\newline$ Percent error = $0.03125 \times 100\%$ $\newline$ Percent error = $3.125\%$
Round Percent Error: Round the percent error to the nearest hundredth of a percent. $\newline$ Rounded percent error = $3.13\%$

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