Question

sofia measured a line to be 6.7 inches long. if the actual length of the line is 6.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Explanation:

Step1: Calculate absolute error

$|6.7 - 6.4| = 0.3$

Step2: Divide by actual length

$\frac{0.3}{6.4} = 0.046875$

Step3: Convert to percentage

$0.046875 \times 100 = 4.6875$

Step4: Round to nearest tenth

$4.6875 \approx 4.7$

Answer:

4.7%