Ellie measured a line to be 11.9 inches long. If the actual length of the line is 11.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:_______ %
Q. Ellie measured a line to be 11.9 inches long. If the actual length of the line is 11.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:_______ %
Understand formula for percent error: Understand the formula for percent error.The formula for percent error is: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%Identify the Measured Value, Actual Value, and the need to find the Percent Error.
Plug in values: Plug in the values into the percent error formula.Measured Value = 11.9 inchesActual Value = 11.6 inchesPercent Error = (∣11.9−11.6∣/11.6)×100%
Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.∣11.9−11.6∣=∣0.3∣The absolute difference is 0.3 inches.
Divide by actual value: Divide the absolute difference by the actual value. 0.3/11.6=0.02586206896551724
Convert to percentage: Convert the decimal to a percentage.0.02586206896551724×100%=2.586206896551724%
Round to nearest tenth: Round the percent error to the nearest tenth of a percent. 2.586206896551724% rounds to 2.6% when rounded to the nearest tenth of a percent.