Lily measured a line to be 8.4 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ____%
Q. Lily measured a line to be 8.4 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ____%
Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, relative 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.Measured Value = 8.4 inchesTrue Value = 8.7 inches
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the true value.Absolute Difference = ∣Measured Value−True Value∣Absolute Difference = ∣8.4−8.7∣Absolute Difference = ∣−0.3∣Absolute Difference = 0.3 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute Difference/True Value)×100%Percent Error = (0.3/8.7)×100%
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.3/8.7)×100%Percent Error ≈0.034482758620689655×100%Percent Error ≈3.4482758620689655%
Round Percent Error: Round the percent error to the nearest tenth of a percent.Percent Error ≈3.4%