Math Problem Statement
Allison measured a line to be 18.6 inches long. If the actual length of the line is 17.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Solution
To calculate the percent error of Allison's measurement, we use the formula:
Given:
- Measured Value = 18.6 inches
- Actual Value = 17.9 inches
Now, let's calculate it:
To the nearest tenth of a percent, the percent error is 3.9%.
Would you like more details or have any questions?
Here are 5 related questions:
- What would the percent error be if the measured value was 19.0 inches?
- How can percent error help in assessing the accuracy of a measurement?
- How does the size of the actual value affect the percent error?
- Can a percent error be negative? Why or why not?
- What is the percent error if the measured value and the actual value are the same?
Tip: Percent error gives you an idea of how close your measurement is to the actual value, helping to identify potential errors.
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Math Problem Analysis
Mathematical Concepts
Measurement
Percent Error
Formulas
Percent Error formula
Theorems
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Suitable Grade Level
Grades 7-9