Olivia measured a line to be 2.2 inches long. If the actual length of the line is 2.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: _______%
Q. Olivia measured a line to be 2.2 inches long. If the actual length of the line is 2.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: _______%
Concept of 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.In this problem, the measured value is 2.2 inches, and the actual value is 2.3 inches.
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.Absolute difference = ∣Measured Value−Actual Value∣ = ∣2.2−2.3∣ = ∣−0.1∣ = 0.1 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute difference/Actual Value)×100%Percent Error = (0.1/2.3)×100%
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.1/2.3)×100%≈0.04347826087×100%≈4.347826087%
Round Percent Error: Round the percent error to the nearest tenth of a percent.Percent Error ≈4.3%