Scarlett measured a line to be 4.1 inches long. If the actual length of the line is 4.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:_______ %
Q. Scarlett measured a line to be 4.1 inches long. If the actual length of the line is 4.3 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 = (∣Actual Value−Measured Value∣/Actual Value)×100%Here, the absolute value is used to ensure the error is a positive number.
Identify values: Identify the Actual Value and the Measured Value.The Actual Value is given as 4.3 inches, and the Measured Value is given as 4.1 inches.
Plug values into formula: Plug the values into the percent error formula.Percent Error = (∣4.3−4.1∣/4.3)×100%
Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.∣4.3−4.1∣=∣0.2∣=0.2
Divide by Actual Value: Divide the absolute difference by the Actual Value.4.30.2=0.046511627906976744
Multiply by 100: Multiply the result by 100 to get the percent error.0.046511627906976744×100%=4.651162790697674%
Round to nearest tenth: Round the percent error to the nearest tenth of a percent. 4.651162790697674% rounded to the nearest tenth of a percent is 4.7%.