Leah measured a line to be 15.9 inches long. If the actual length of the line is 14.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:__________ %
Q. Leah measured a line to be 15.9 inches long. If the actual length of the line is 14.8 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:__________ %
Understand percent error formula: Understand the percent error formula.Percent error is calculated using the formula: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%Here, the measured value is 15.9 inches, and the actual value is 14.8 inches.
Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.Absolute difference = ∣Measured Value−Actual Value∣Absolute difference = ∣15.9 inches−14.8 inches∣Absolute difference = ∣1.1 inches∣
Divide absolute difference by actual value: Divide the absolute difference by the actual value.Divide 1.1 inches by 14.8 inches to find the error fraction.Error fraction = 14.8 inches1.1 inches
Perform division for error fraction: Perform the division to find the error fraction.Error fraction = 14.81.1Error fraction ≈0.0743243243
Convert error fraction to percent: Convert the error fraction to a percent.Percent Error = Error fraction ×100%Percent Error ≈0.0743243243×100%Percent Error ≈7.43243243%
Round percent error: Round the percent error to the nearest tenth of a percent.Percent Error ≈7.4%