Math Problem Statement
Violet measured a line to be 1.9 inches long. If the actual length of the line is 2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Solution
To find the percent error of Violet's measurement, we can use the formula:
In this case:
- Measured Value = 1.9 inches
- Actual Value = 2 inches
Now, let's calculate it:
So, the percent error of the measurement is 5.0%.
Would you like more details or have any questions?
Here are 5 related questions:
- How would the percent error change if the measured length was 1.8 inches?
- What is the significance of percent error in measurements?
- How can you reduce the percent error in future measurements?
- What is the difference between percent error and absolute error?
- How would you calculate percent error if the actual length was unknown?
Tip: Always double-check your measurements and calculations to ensure accuracy and reduce errors.
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Math Problem Analysis
Mathematical Concepts
Measurement
Percent Error
Formulas
Percent Error Formula: PE = (|Measured Value - Actual Value| / Actual Value) * 100
Theorems
-
Suitable Grade Level
Grades 7-9
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