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What is the percent error for a measurement of 55 feet?\newlineIf 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 55 feet?\newlineIf needed, round your answer to the nearest hundredth of a percent.\newline\newline____%\_\_\_\_\%
  1. Find Error in Feet: Find the greatest possible error for 55 feet.\newlineDivide the smallest unit of measurement by 22.\newlineSince the smallest unit is not given, we typically assume it to be 11 inch for practical purposes in the U.S. measurement system.\newline11 inch is 112\frac{1}{12} of a foot, so the greatest possible error in feet is 112/2\frac{1}{12}/2.\newlineGreatest possible error: 124\frac{1}{24} feet
  2. Convert to Decimal: Convert the greatest possible error to a decimal.\newline124\frac{1}{24} as a decimal is approximately 0.04170.0417 feet.
  3. Calculate Percent Error: Calculate the percent error.\newlineMeasurement: 55 feet\newlineGreatest possible error: 0.04170.0417 feet\newlinePercent error = (0.0417/5)×100%(0.0417/5) \times 100\%\newline= 0.00834×100%0.00834 \times 100\%\newline= 0.834%0.834\%
  4. Round to Nearest Hundredth: Round the percent error to the nearest hundredth of a percent. 0.834%0.834\% rounded to the nearest hundredth of a percent is 0.83%0.83\%.

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