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Ellie measured a line to be 11.9 inches long. If the actual length of the line is 11.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
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Ellie measured a line to be 1111.99 inches long. If the actual length of the line is 1111.66 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:_______ % \%

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Q. Ellie measured a line to be 1111.99 inches long. If the actual length of the line is 1111.66 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:_______ % \%
  1. Understand formula for percent error: Understand the formula for percent error.\newlineThe formula for percent error is: Percent Error = (Measured ValueActual Value/Actual Value)×100%(|\text{Measured Value} - \text{Actual Value}| / \text{Actual Value}) \times 100\%\newlineIdentify the Measured Value\text{Measured Value}, Actual Value\text{Actual Value}, and the need to find the Percent Error.
  2. Plug in values: Plug in the values into the percent error formula.\newlineMeasured Value = 11.911.9 inches\newlineActual Value = 11.611.6 inches\newlinePercent Error = (11.911.6/11.6)×100%(|11.9 - 11.6| / 11.6) \times 100\%
  3. Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.\newline11.911.6=0.3|11.9 - 11.6| = |0.3|\newlineThe absolute difference is 0.30.3 inches.
  4. Divide by actual value: Divide the absolute difference by the actual value. 0.3/11.6=0.025862068965517240.3 / 11.6 = 0.02586206896551724
  5. Convert to percentage: Convert the decimal to a percentage.\newline0.02586206896551724×100%=2.586206896551724%0.02586206896551724 \times 100\% = 2.586206896551724\%
  6. Round to nearest tenth: Round the percent error to the nearest tenth of a percent. 2.586206896551724%2.586206896551724\% rounds to 2.6%2.6\% when rounded to the nearest tenth of a percent.

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