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Ella measured a line to be 5.7 inches long. If the actual length of the line is 5.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Ella measured a line to be 55.77 inches long. If the actual length of the line is 55.66 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:________ % \%

Full solution

Q. Ella measured a line to be 55.77 inches long. If the actual length of the line is 55.66 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 = (Measured ValueActual Value/Actual Value)×100%(|\text{Measured Value} - \text{Actual Value}| / \text{Actual Value}) \times 100\%\newlineHere, the measured value is 5.75.7 inches, and the actual value is 5.65.6 inches.
  2. Plug values into formula: Plug the values into the percent error formula.\newlinePercent Error = (5.75.6/5.6)×100%(|5.7 - 5.6| / 5.6) \times 100\%
  3. Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.\newlineAbsolute difference = 5.75.6=0.1|5.7 - 5.6| = 0.1 inches
  4. Divide absolute difference by actual value: Divide the absolute difference by the actual value. Division result = 0.15.6\frac{0.1}{5.6}
  5. Perform division for decimal form: Perform the division to find the decimal form of the percent error. Division result = 0.01785714285714290.0178571428571429 (rounded to 1515 decimal places for accuracy)
  6. Convert decimal to percentage: Convert the decimal to a percentage by multiplying by 100100. \newlinePercent Error = 0.0178571428571429×100%0.0178571428571429 \times 100\%
  7. Calculate percent error: Calculate the percent error as a percentage.\newlinePercent Error = 1.78571428571429%1.78571428571429\%
  8. Round percent error: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 1.8%1.8\%

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