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?
(15-12)/12 = ?
15
To find the percent error, we can use the formula:
Percent Error = [(Measured Value - Actual Value) / Actual Value] * 100
In this case, the measured value is 15 centimeters and the actual value is 12 centimeters.
So the percent error can be calculated as:
Percent Error = [(15 - 12) / 12] * 100
Simplifying the equation:
Percent Error = (3 / 12) * 100
Percent Error = 0.25 * 100
Percent Error = 25%
Therefore, the percent error in Roger's measurement is 25%.
To calculate the percent error, we need to compare Roger's measured value to the actual value.
The actual length of the nail is given as 12 centimeters.
The measured length of the nail is recorded as 15 centimeters.
To find the percent error, we use the formula:
Percent Error = (|Actual Value - Measured Value| / Actual Value) * 100
Substituting the given values:
Percent Error = (|12 - 15| / 12) * 100
Calculating the numerator:
|12 - 15| = |-3| = 3
Substituting the numerator and denominator into the formula:
Percent Error = (3 / 12) * 100
Calculating the fraction:
3 / 12 = 0.25
Multiplying by 100:
0.25 * 100 = 25
So, the percent error in Roger's measurement is 25%.