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Kayden measured a line to be 18.1 inches long. If the actual length of the line is 19.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Kayden measured a line to be 1818.11 inches long. If the actual length of the line is 1919.22 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ______% \%

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Q. Kayden measured a line to be 1818.11 inches long. If the actual length of the line is 1919.22 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ______% \%
  1. Understand percent error formula: Understand the percent error formula.\newlinePercent error is calculated using the formula: \newlinePercent Error = (Actual ValueMeasured Value/Actual Value)×100(|\text{Actual Value} - \text{Measured Value}| / \text{Actual Value}) \times 100\newlineHere, the Actual Value\text{Actual Value} is the true length of the line, and the Measured Value\text{Measured Value} is the length Kayden measured.
  2. Plug in given values: Plug in the given values into the percent error formula.\newlineActual Value = 19.219.2 inches\newlineMeasured Value = 18.118.1 inches\newlinePercent Error = (19.218.1/19.2)×100(|19.2 - 18.1| / 19.2) \times 100
  3. Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.\newlineAbsolute difference = 19.218.1=1.1=1.1|19.2 - 18.1| = |1.1| = 1.1
  4. Divide by Actual Value: Divide the absolute difference by the Actual Value.\newlineDivision result = 1.119.2\frac{1.1}{19.2}
  5. Perform division for decimal form: Perform the division to find the decimal form of the percent error.Division result=1.119.20.0572916667\text{Division result} = \frac{1.1}{19.2} \approx 0.0572916667
  6. Convert decimal to percentage: Convert the decimal to a percentage by multiplying by 100100. \newlinePercent Error = 0.0572916667×1005.72916667%0.0572916667 \times 100 \approx 5.72916667\%
  7. Round to nearest tenth: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 5.7%5.7\%

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