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Leah measured a line to be 15.9 inches long. If the actual length of the line is 14.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
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%

Leah measured a line to be 1515.99 inches long. If the actual length of the line is 1414.88 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:__________ % \%

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Q. Leah measured a line to be 1515.99 inches long. If the actual length of the line is 1414.88 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 15.915.9 inches, and the actual value is 14.814.8 inches.
  2. Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.\newlineAbsolute difference = Measured ValueActual Value|\text{Measured Value} - \text{Actual Value}|\newlineAbsolute difference = 15.9 inches14.8 inches|15.9 \text{ inches} - 14.8 \text{ inches}|\newlineAbsolute difference = 1.1 inches|1.1 \text{ inches}|
  3. Divide absolute difference by actual value: Divide the absolute difference by the actual value.\newlineDivide 1.11.1 inches by 14.814.8 inches to find the error fraction.\newlineError fraction = 1.1 inches14.8 inches\frac{1.1 \text{ inches}}{14.8 \text{ inches}}
  4. Perform division for error fraction: Perform the division to find the error fraction.\newlineError fraction = 1.114.8\frac{1.1}{14.8}\newlineError fraction 0.0743243243\approx 0.0743243243
  5. Convert error fraction to percent: Convert the error fraction to a percent.\newlinePercent Error = Error fraction ×100%\times 100\%\newlinePercent Error 0.0743243243×100%\approx 0.0743243243 \times 100\%\newlinePercent Error 7.43243243%\approx 7.43243243\%
  6. Round percent error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error 7.4%\approx 7.4\%

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