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Bella measured a line to be 14.7 inches long. If the actual length of the line is 19.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Bella measured a line to be 1414.77 inches long. If the actual length of the line is 1919.55 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer: ________-% \%

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Q. Bella measured a line to be 1414.77 inches long. If the actual length of the line is 1919.55 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 = (ActualValueMeasuredValue/ActualValue)×100(|Actual Value - Measured Value| / Actual Value) \times 100\newlineHere, the Actual Value is 19.519.5 inches, and the Measured Value is 14.714.7 inches.
  2. Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.\newlineAbsolute difference = Actual ValueMeasured Value=19.514.7=4.8|\text{Actual Value} - \text{Measured Value}| = |19.5 - 14.7| = 4.8 inches
  3. Divide absolute difference by Actual Value: Divide the absolute difference by the Actual Value. Divide 4.84.8 by 19.519.5 to get the error in decimal form. Error (as a decimal) = rac{4.8}{19.5}
  4. Find error in decimal form: Perform the division to find the error in decimal form.\newlineError (as a decimal) = 4.819.50.2462\frac{4.8}{19.5} \approx 0.2462
  5. Convert error to percent: Convert the error from decimal to percent. Percent Error = 0.2462×1000.2462 \times 100
  6. Calculate percent error: Perform the multiplication to find the percent error.\newlinePercent Error 0.2462×10024.62%\approx 0.2462 \times 100 \approx 24.62\%
  7. Round percent error: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error 24.6%\approx 24.6\%

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