Question

sean is choosing what size gloves to order from an online store. he estimates that his hand is 20 centimeters long. when he measures with a ruler, however, he finds that his hand is actually 18 centimeters long. what is the percent error for his estimate? if necessary, round your answer to the nearest tenth of a percent. % save answer

Explanation:

Step1: Find the absolute error

The estimated value is 20 cm and the actual value is 18 cm. The absolute error is \( |20 - 18| = 2 \) cm.

Step2: Use the percent error formula

The formula for percent error is \( \text{Percent Error} = \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{2}{18} \times 100\% \).

Step3: Calculate the value

\( \frac{2}{18} \times 100\% \approx 11.1\% \) (rounded to the nearest tenth of a percent).

Answer:

11.1