Question

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. What is the percent error for Diego’s measurement?

A. 4.3%
B. 9.1%
C. 104.5%
D. 113.6%

Answer 1

The percent error in Diego's measurement is found using the formula for percent error and it is approximately 4.3%, which is option A.

Step-by-step explanation:

To find the percent error in Diego's measurement, you use the formula:

`Percent Error = \((|Actual Value - Measured Value|)/(Actual Value) * 100\)`

Plugging in the values provided, we get:

`Percent Error = \((|23 cm - 22 cm|)/(23 cm) * 100\)`

`Percent Error = \((1 cm)/(23 cm) * 100\)`

`Percent Error = \((100)/(23)\)`

`Percent Error = 4.347826087...%`

When rounded to one decimal place, the percent error is approximately 4.3%, which corresponds to option A.