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Lily measured a line to be 8.4 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Lily measured a line to be 88.44 inches long. If the actual length of the line is 88.77 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ____% \%

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Q. Lily measured a line to be 88.44 inches long. If the actual length of the line is 88.77 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ____% \%
  1. Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, relative to the true value. The formula for percent error is: Percent Error = (Measured ValueTrue Value/True Value)×100%(|\text{Measured Value} - \text{True Value}| / \text{True Value}) \times 100\%
  2. Identify Values: Identify the measured value and the true value.\newlineMeasured Value = 8.48.4 inches\newlineTrue Value = 8.78.7 inches
  3. Calculate Absolute Difference: Calculate the absolute difference between the measured value and the true value.\newlineAbsolute Difference = Measured ValueTrue Value|\text{Measured Value} - \text{True Value}|\newlineAbsolute Difference = 8.48.7|8.4 - 8.7|\newlineAbsolute Difference = 0.3|-0.3|\newlineAbsolute Difference = 0.30.3 inches
  4. Calculate Percent Error: Calculate the percent error using the formula.\newlinePercent Error = (Absolute Difference/True Value)×100%(\text{Absolute Difference} / \text{True Value}) \times 100\%\newlinePercent Error = (0.3/8.7)×100%(0.3 / 8.7) \times 100\%
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (0.3/8.7)×100%(0.3 / 8.7) \times 100\%\newlinePercent Error 0.034482758620689655×100%\approx 0.034482758620689655 \times 100\%\newlinePercent Error 3.4482758620689655%\approx 3.4482758620689655\%
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error 3.4%\approx 3.4\%

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