Question

Diego measured the length of a pen to be 18 cm. The actual length of the pen is 23 cm. Which of these is the closest to the percent error Diego’s measurement?

Answer 1

Diego's percent error in measuring the length of a pen is approximately 21.74%, calculated using the formula (|Measured Value - True Value| / True Value) × 100%.

Step-by-step explanation:

The question involves calculating the percent error of Diego's measurement of a pen. Percent error is a measure of how inaccurate a measurement is, relative to the true value.

The formula for percent error is: Percent Error = (|Measured Value - True Value| / True Value) × 100%.

Applying this formula to Diego's measurement, we get:

Measured Value = 18 cm

True Value = 23 cm

Percent Error = (|18 cm - 23 cm| / 23 cm) × 100%

= (5 cm / 23 cm) × 100%

≈ 21.74%

The closest percent error for Diego's measurement is approximately 21.74%.