Chase measured a line to be 2.8 inches long. If the actual length of the line is 2.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:_______ %
Q. Chase measured a line to be 2.8 inches long. If the actual length of the line is 2.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:_______ %
Understand formula: Understand the percent error formula.Percent error is calculated using the formula: Percent Error = (∣ActualValue−MeasuredValue∣/ActualValue)×100Here, the actual value is 2.9 inches, and the measured value is 2.8 inches.
Plug in values: Plug in the values into the percent error formula.Percent Error = (∣2.9−2.8∣/2.9)×100
Calculate absolute difference: Calculate the absolute difference between the actual value and the measured value.Absolute difference = ∣2.9−2.8∣=0.1 inches
Divide absolute difference: Divide the absolute difference by the actual value. Division result = 2.90.1
Perform division: Perform the division to find the decimal form of the percent error. Division result = 0.034482758620689655 (This is a repeating decimal, but we will round it later.)
Convert to percentage: Convert the decimal to a percentage.Percent Error = 0.034482758620689655×100
Calculate percent error: Calculate the percent error as a percentage.Percent Error = 3.4482758620689655%
Round to nearest tenth: Round the percent error to the nearest tenth of a percent.Rounded Percent Error = 3.4%