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Maya measured a line to be 11.1 inches long. If the actual length of the line is 11.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Maya measured a line to be 1111.11 inches long. If the actual length of the line is 1111.88 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ______% \%

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Q. Maya measured a line to be 1111.11 inches long. If the actual length of the line is 1111.88 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.\newlinePercent error is a measure of how inaccurate a measurement is, represented as a percentage of the actual value. The formula for percent error is:\newlinePercent Error = (Measured ValueActual Value/Actual Value)×100(|\text{Measured Value} - \text{Actual Value}| / \text{Actual Value}) \times 100
  2. Identify Values: Identify the measured value and the actual value.\newlineMeasured Value = 11.111.1 inches\newlineActual Value = 11.811.8 inches
  3. 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 = 11.111.8|11.1 - 11.8|\newlineAbsolute Difference = 0.7|-0.7|\newlineAbsolute Difference = 0.70.7 inches
  4. Calculate Percent Error: Calculate the percent error using the formula.\newlinePercent Error = (Absolute Difference/Actual Value)×100(\text{Absolute Difference} / \text{Actual Value}) \times 100\newlinePercent Error = (0.7/11.8)×100(0.7 / 11.8) \times 100
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (0.7/11.8)×100(0.7 / 11.8) \times 100\newlinePercent Error 0.059322×100\approx 0.059322 \times 100\newlinePercent Error 5.9322\approx 5.9322
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlinePercent Error 5.9%\approx 5.9\%

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