Audrey measured a line to be 8.7 inches long. If the actual length of the line is 8.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Answer: %

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Audrey measured a line to be 8.7 inches long. If the actual length of the line is 8.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Answer:  %

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Understand percent error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, compared to the true value. The formula for percent error is: Percent Error = (|Measured Value - True Value| / True Value) × 100%Identify values: Identify the measured value and the true value from the problem. The measured value is 8.7 inches, and the true value is 8.4 inches.Calculate absolute difference: Calculate the absolute difference between the measured value and the true value. Absolute difference = |Measured Value - True Value| = |8.7 - 8.4| = 0.3 inchesCalculate percent error: Calculate the percent error using the formula. Percent Error = (Absolute difference / True Value) × 100% Percent Error = (0.3 / 8.4) × 100%Perform division and multiplication: Perform the division and multiplication to find the percent error. Percent Error = (0.3 / 8.4) × 100% ≈ 3.5714%Round percent error: Round the percent error to the nearest tenth of a percent. Percent Error ≈ 3.6%

Audrey measured a line to be $8$ . $7$ inches long. If the actual length of the line is $8$ . $4$ inches, then what was the percent error of the measurement, to the nearest tenth of a percent? $\newline$ Answer: ______ $\%$

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Audrey measured a line to be $8$ . $7$ inches long. If the actual length of the line is $8$ . $4$ inches, then what was the percent error of the measurement, to the nearest tenth of a percent? $\newline$ Answer: ______ $\%$