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Jocelyn measured a line to be 12.5 inches long. If the actual length of the line is 12.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Jocelyn measured a line to be 1212.55 inches long. If the actual length of the line is 1212.44 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ________% \%

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Q. Jocelyn measured a line to be 1212.55 inches long. If the actual length of the line is 1212.44 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: \newlinePercent Error = (Measured ValueActual Value/Actual Value)×100%(|\text{Measured Value} - \text{Actual Value}| / \text{Actual Value}) \times 100\%\newlineHere, the measured value is 12.512.5 inches, and the actual value is 12.412.4 inches.
  2. Plug values into formula: Plug the values into the percent error formula.\newlinePercent Error = (12.512.4/12.4)×100%(|12.5 - 12.4| / 12.4) \times 100\%
  3. Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.\newlineAbsolute difference = 12.512.4=0.1|12.5 - 12.4| = 0.1 inch
  4. Divide difference by actual value: Divide the absolute difference by the actual value.Division result=0.112.4\text{Division result} = \frac{0.1}{12.4}
  5. Perform division for decimal form: Perform the division to find the decimal form of the percent error.Division result=0.008064516129032258\text{Division result} = 0.008064516129032258 (rounded to more decimal places for accuracy)
  6. Convert decimal to percentage: Convert the decimal to a percentage.\newlinePercent Error = 0.008064516129032258×100%=0.8064516129032258%0.008064516129032258 \times 100\% = 0.8064516129032258\%
  7. Round percent error: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 0.8%0.8\%

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