What is the percent error for a measurement of 5 feet? If needed, round your answer to the nearest hundredth of a percent. ____%

Find Error in Feet: Find the greatest possible error for 5 feet. Divide the smallest unit of measurement by 2. Since the smallest unit is not given, we typically assume it to be 1 inch for practical purposes in the U.S. measurement system. 1 inch is 1/12 of a foot, so the greatest possible error in feet is (1/12)/2. Greatest possible error: 1/24 feetConvert to Decimal: Convert the greatest possible error to a decimal. 1/24 as a decimal is approximately 0.0417 feet.Calculate Percent Error: Calculate the percent error. Measurement: 5 feet Greatest possible error: 0.0417 feet Percent error = (0.0417/5) × 100% = 0.00834 × 100% = 0.834%Round to Nearest Hundredth: Round the percent error to the nearest hundredth of a percent. 0.834% rounded to the nearest hundredth of a percent is 0.83%.

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Algebra 1

Percent error

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Q. What is the percent error for a measurement of

5

feet?

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

\newline

\newline

\_\_\_\_\%

Find Error in Feet: Find the greatest possible error for $5$ feet. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Since the smallest unit is not given, we typically assume it to be $1$ inch for practical purposes in the U.S. measurement system. $\newline$ $1$ inch is $\frac{1}{12}$ of a foot, so the greatest possible error in feet is $\frac{1}{12}/2$ . $\newline$ Greatest possible error: $\frac{1}{24}$ feet
Convert to Decimal: Convert the greatest possible error to a decimal. $\newline$ $\frac{1}{24}$ as a decimal is approximately $0.0417$ feet.
Calculate Percent Error: Calculate the percent error. $\newline$ Measurement: $5$ feet $\newline$ Greatest possible error: $0.0417$ feet $\newline$ Percent error = $(0.0417/5) \times 100\%$ $\newline$ = $0.00834 \times 100\%$ $\newline$ = $0.834\%$
Round to Nearest Hundredth: Round the percent error to the nearest hundredth of a percent. $0.834\%$ rounded to the nearest hundredth of a percent is $0.83\%$ .