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Ashley measured a line to be 6.3 inches long. If the actual length of the line is 6.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Ashley measured a line to be 66.33 inches long. If the actual length of the line is 66.44 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ________% \%

Full solution

Q. Ashley measured a line to be 66.33 inches long. If the actual length of the line is 66.44 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 is 6.46.4 inches, and the measured value is 6.36.3 inches.
  2. Calculate absolute difference: Calculate the absolute difference between the actual value and the measured value.\newlineAbsolute difference = 6.46.3=0.1=0.1|6.4 - 6.3| = |0.1| = 0.1 inches
  3. Divide absolute difference: Divide the absolute difference by the actual value.\newlineDivide 0.10.1 inches by 6.46.4 inches to get the error in decimal form.\newline0.1/6.4=0.0156250.1 / 6.4 = 0.015625
  4. Convert decimal error to percentage: Convert the decimal error to a percentage.\newlineMultiply the decimal error by 100100 to get the percent error.\newline0.015625×100%=1.5625%0.015625 \times 100\% = 1.5625\%
  5. Round percent error: Round the percent error to the nearest tenth of a percent. Rounding 1.5625%1.5625\% to the nearest tenth of a percent gives us 1.6%1.6\%.

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