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

tablespoons?

\newline

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

\newline

\newline

\_\_\%

Find Error: Find the greatest possible error for $2$ tablespoons. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Since the smallest unit of measurement for tablespoons is typically $\frac{1}{8}$ of a tablespoon, we divide this by $2$ to find the greatest possible error. $\newline$ $\frac{1}{8} \div 2 = \frac{1}{16}$ $\newline$ Greatest possible error: $\frac{1}{16}$ tablespoon
Convert to Decimal: Convert the greatest possible error to a decimal. $\newline$ To convert $\frac{1}{16}$ to a decimal, we divide $1$ by $16$ . $\newline$ $1 \div 16 = 0.0625$ $\newline$ Greatest possible error in decimal form: $0.0625$ tablespoons
Calculate Percent Error: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ tablespoons $\newline$ Greatest possible error: $0.0625$ tablespoons $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.0625 / 2) \times 100\%$ $\newline$ = $0.03125 \times 100\%$ $\newline$ = $3.125\%$
Round Percent Error: Round the percent error to the nearest hundredth of a percent. $\newline$ Rounding $3.125\%$ to the nearest hundredth gives us $3.13\%$ .

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