Question

Diego measured the length of a pen to be 21 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego’s measurement?

A. 9.5%

B. 8.7%

C. 91.3%

D. 109.5%

Answer 1

The percent error for Diego's measurement is approximately 8.7%.

Step-by-step explanation:

To calculate the percent error, we use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) x 100%

For this problem, the measured value is 21 cm and the actual value is 23 cm. Plugging these values into the formula, we get:

Percent Error = (|21 - 23| / 23) x 100%

Percent Error = (2 / 23) x 100%

Percent Error ≈ 8.7% (rounded to one decimal place)

Therefore, the option closest to the percent error for Diego's measurement is B. 8.7%.