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Gianna measured a line to be 19 inches long. If the actual length of the line is 17.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
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Gianna measured a line to be 1919 inches long. If the actual length of the line is 1717.11 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:__________ % \%

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Q. Gianna measured a line to be 1919 inches long. If the actual length of the line is 1717.11 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, represented as a percentage of the actual value. The formula for percent error is: Percent 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 = 1919 inches\newlineActual Value = 17.117.1 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 = 1917.1|19 - 17.1|\newlineAbsolute Difference = 1.91.9 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 = (1.9/17.1)×100%(1.9 / 17.1) \times 100\%
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (1.9/17.1)×100%(1.9 / 17.1) \times 100\%\newlinePercent Error 0.1111×100%\approx 0.1111 \times 100\%\newlinePercent Error 11.11%\approx 11.11\%
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 11.1%11.1\%

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