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Aubrey measured a line to be 16.8 inches long. If the actual length of the line is 16.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Aubrey measured a line to be 1616.88 inches long. If the actual length of the line is 1616.55 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ___________% \%

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Q. Aubrey measured a line to be 1616.88 inches long. If the actual length of the line is 1616.55 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ___________% \%
  1. Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, represented as a percentage of the actual value. The formula for percent error is: Percent Error = (Measured ValueActual Value/Actual Value)×100%(|\text{Measured Value} - \text{Actual Value}| / \text{Actual Value}) \times 100\%
  2. Identify Values: Identify the measured value and the actual value.\newlineIn this problem, the measured value is 16.816.8 inches, and the actual value is 16.516.5 inches.
  3. Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.\newlineAbsolute difference = Measured ValueActual Value|\text{Measured Value} - \text{Actual Value}|\newlineAbsolute difference = 16.816.5|16.8 - 16.5|\newlineAbsolute difference = 0.30.3 inches
  4. Calculate Percent Error: Calculate the percent error using the formula.\newlinePercent Error = (Absolute difference/Actual Value)×100%(\text{Absolute difference} / \text{Actual Value}) \times 100\%\newlinePercent Error = (0.3/16.5)×100%(0.3 / 16.5) \times 100\%
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (0.3/16.5)×100%(0.3 / 16.5) \times 100\%\newlinePercent Error 0.0181818...×100%\approx 0.0181818... \times 100\%\newlinePercent Error 1.81818...\approx 1.81818...
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error 1.8%\approx 1.8\%

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