Ava measured a line to be 8.7 inches long. If the actual length of the line is 9.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:__________ %
Q. Ava measured a line to be 8.7 inches long. If the actual length of the line is 9.4 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 = (∣Actual Value−Measured Value∣/Actual Value)×100
Identify Values: Identify the Actual Value and the Measured Value.In this problem, the Actual Value is 9.4 inches, and the Measured Value is 8.7 inches.
Calculate Absolute Difference: Calculate the absolute difference between the Actual Value and the Measured Value.Absolute Difference = ∣Actual Value−Measured Value∣ = ∣9.4−8.7∣ = 0.7 inches
Plug into Formula: Plug the Absolute Difference and the Actual Value into the percent error formula.Percent Error = (0.7/9.4)×100
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.7/9.4)×100≈7.4468...
Round Percent Error: Round the percent error to the nearest tenth of a percent. Percent Error ≈7.4%