Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the percent error in Roger's measurement?
The actual length of the nail is 12 centimeters.
The measured length of the nail is 15 centimeters.
The difference between the actual and measured lengths is 15 - 12 = <<15-12=3>>3 centimeters.
The percent error is (3 / 12) x 100% = 25%. Answer: \boxed{25}.
To calculate the percent error in Roger's measurement, we can use the following formula:
Percent Error = (|Actual Value - Recorded Value| / Actual Value) x 100
In this case, the actual value of the nail's length is 12 centimeters, and the recorded value is 15 centimeters.
Let's substitute these values into the formula:
Percent Error = (|12 - 15| / 12) x 100
Simplifying further:
Percent Error = (3 / 12) x 100
Percent Error = 0.25 x 100
Therefore, the percent error in Roger's measurement is 25%.
To find the percent error in Roger's measurement, we need to compare his measured length with the actual length of the nail.
Step 1: Calculate the absolute difference between the measured length and the actual length:
Absolute difference = |Measured length - Actual length|
In this case, the measured length is 15 centimeters and the actual length is 12 centimeters, so the absolute difference is:
Absolute difference = |15 cm - 12 cm| = 3 cm
Step 2: Calculate the percentage error using the formula:
Percentage error = (Absolute difference / Actual length) * 100
Substituting the values:
Percentage error = (3 cm / 12 cm) * 100 = 25%
Therefore, the percent error in Roger's measurement is 25%.