Bella measured a line to be 14.7 inches long. If the actual length of the line is 19.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________-%
Q. Bella measured a line to be 14.7 inches long. If the actual length of the line is 19.5 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 = (∣ActualValue−MeasuredValue∣/ActualValue)×100Here, the Actual Value is 19.5 inches, and the Measured Value is 14.7 inches.
Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.Absolute difference = ∣Actual Value−Measured Value∣=∣19.5−14.7∣=4.8 inches
Divide absolute difference by Actual Value: Divide the absolute difference by the Actual Value. Divide 4.8 by 19.5 to get the error in decimal form. Error (as a decimal) = rac{4.8}{19.5}
Find error in decimal form: Perform the division to find the error in decimal form.Error (as a decimal) = 19.54.8≈0.2462
Convert error to percent: Convert the error from decimal to percent. Percent Error = 0.2462×100
Calculate percent error: Perform the multiplication to find the percent error.Percent Error ≈0.2462×100≈24.62%
Round percent error: Round the percent error to the nearest tenth of a percent.Rounded Percent Error ≈24.6%