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Gabriel measured a line to be 16.1 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: 
%

Gabriel measured a line to be 1616.11 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. Gabriel measured a line to be 1616.11 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, compared to the true value. The formula for percent error is: Percent Error = (Measured ValueTrue Value/True Value)×100(|\text{Measured Value} - \text{True Value}| / \text{True Value}) \times 100
  2. Identify Values: Identify the measured value and the true value from the problem.\newlineMeasured Value = 16.116.1 inches\newlineTrue Value = 16.516.5 inches
  3. Calculate Absolute Difference: Calculate the absolute difference between the measured value and the true value.\newlineAbsolute Difference = Measured ValueTrue Value|\text{Measured Value} - \text{True Value}|\newlineAbsolute Difference = 16.116.5|16.1 - 16.5|\newlineAbsolute Difference = 0.4|-0.4|\newlineAbsolute Difference = 0.40.4 inches
  4. Calculate Percent Error: Calculate the percent error using the formula.\newlinePercent Error = (Absolute Difference/True Value)×100(\text{Absolute Difference} / \text{True Value}) \times 100\newlinePercent Error = (0.4/16.5)×100(0.4 / 16.5) \times 100
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (0.4/16.5)×100(0.4 / 16.5) \times 100\newlinePercent Error 0.02424...×100\approx 0.02424... \times 100\newlinePercent Error 2.424...\approx 2.424...
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error 2.4%\approx 2.4\%

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