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Scarlett measured a line to be 4.1 inches long. If the actual length of the line is 4.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
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%

Scarlett measured a line to be 44.11 inches long. If the actual length of the line is 44.33 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:_______ % \%

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Q. Scarlett measured a line to be 44.11 inches long. If the actual length of the line is 44.33 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 = (Actual ValueMeasured Value/Actual Value)×100%(|\text{Actual Value} - \text{Measured Value}| / \text{Actual Value}) \times 100\%\newlineHere, the absolute value is used to ensure the error is a positive number.
  2. Identify values: Identify the Actual Value and the Measured Value.\newlineThe Actual Value is given as 4.34.3 inches, and the Measured Value is given as 4.14.1 inches.
  3. Plug values into formula: Plug the values into the percent error formula.\newlinePercent Error = (4.34.1/4.3)×100%(|4.3 - 4.1| / 4.3) \times 100\%
  4. Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.\newline4.34.1=0.2=0.2|4.3 - 4.1| = |0.2| = 0.2
  5. Divide by Actual Value: Divide the absolute difference by the Actual Value.\newline0.24.3=0.046511627906976744\frac{0.2}{4.3} = 0.046511627906976744
  6. Multiply by 100100: Multiply the result by 100100 to get the percent error.\newline0.046511627906976744×100%=4.651162790697674%0.046511627906976744 \times 100\% = 4.651162790697674\%
  7. Round to nearest tenth: Round the percent error to the nearest tenth of a percent. 4.651162790697674%4.651162790697674\% rounded to the nearest tenth of a percent is 4.7%4.7\%.

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