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Ashley measured a line to be 3.9 inches long. If the actual length of the line is 4.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Ashley measured a line to be 33.99 inches long. If the actual length of the line is 44.11 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

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Q. Ashley measured a line to be 33.99 inches long. If the actual length of the line is 44.11 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
  1. Understand percent error formula: Understand the percent error formula.\newlinePercent error is calculated using the formula: \newlinePercent Error = (∣Actual Value−Measured Value∣/Actual Value)×100(|\text{Actual Value} - \text{Measured Value}| / \text{Actual Value}) \times 100\newlineHere, the actual value is 4.14.1 inches, and the measured value is 3.93.9 inches.
  2. Calculate absolute difference: Calculate the absolute difference between the actual value and the measured value.\newlineAbsolute difference = ∣4.1−3.9∣=∣0.2∣=0.2|4.1 - 3.9| = |0.2| = 0.2 inches
  3. Plug values into formula: Plug the absolute difference and the actual value into the percent error formula.\newlinePercent Error = (0.2/4.1)×100(0.2 / 4.1) \times 100
  4. Perform division for percent error: Perform the division to find the percent error.\newlinePercent Error = (0.2/4.1)×100≈4.87804878...(0.2 / 4.1) \times 100 \approx 4.87804878...
  5. Round percent error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error ≈4.9%\approx 4.9\%

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