Maya measured a line to be 11.1 inches long. If the actual length of the line is 11.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ______%
Q. Maya measured a line to be 11.1 inches long. If the actual length of the line is 11.8 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, represented as a percentage of the actual value. The formula for percent error is:Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100
Identify Values: Identify the measured value and the actual value.Measured Value = 11.1 inchesActual Value = 11.8 inches
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.Absolute Difference = ∣Measured Value−Actual Value∣Absolute Difference = ∣11.1−11.8∣Absolute Difference = ∣−0.7∣Absolute Difference = 0.7 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute Difference/Actual Value)×100Percent Error = (0.7/11.8)×100
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.7/11.8)×100Percent Error ≈0.059322×100Percent Error ≈5.9322
Round Percent Error: Round the percent error to the nearest tenth of a percent.Percent Error ≈5.9%