Full solution

Q. Ava measured a line to be

8

7

inches long. If the actual length of the line is

9

4

inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

\newline

Answer:__________

\%

Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, represented as a percentage of the actual value. The formula for percent error is: Percent Error = $(|\text{Actual Value} - \text{Measured Value}| / \text{Actual Value}) \times 100$
Identify Values: Identify the Actual Value and the Measured Value. $\newline$ In this problem, the Actual Value is $9.4$ inches, and the Measured Value is $8.7$ inches.
Calculate Absolute Difference: Calculate the absolute difference between the Actual Value and the Measured Value. $\newline$ Absolute Difference = $|\text{Actual Value} - \text{Measured Value}|$ = $|9.4 - 8.7|$ = $0.7$ inches
Plug into Formula: Plug the Absolute Difference and the Actual Value into the percent error formula. $\newline$ Percent Error = $(0.7 / 9.4) \times 100$
Perform Division and Multiplication: Perform the division and multiplication to find the percent error. $\newline$ Percent Error = $(0.7 / 9.4) \times 100 \approx 7.4468...$
Round Percent Error: Round the percent error to the nearest tenth of a percent. Percent Error $\approx 7.4\%$