Math Problem Statement
Calculate the percentage error of a measurement of 4.22m, measured to the nearest cm. Round to 2 decimal places
Solution
To calculate the percentage error, we'll use the following formula:
Step 1: Determine the absolute error
Since the measurement is given to the nearest centimeter (0.01 meters), the absolute error is half of the smallest unit of measurement.
Step 2: Calculate the percentage error
Step 3: Round to 2 decimal places
So, the percentage error is 0.12%.
Would you like more details on this, or do you have any other questions?
Here are some related questions you might find useful:
- What is the concept of absolute and relative error?
- How do you calculate percentage error for different types of measurements?
- What factors affect the accuracy of a measurement?
- How does rounding affect percentage error?
- What is the difference between precision and accuracy?
- Can you calculate the percentage error for a measurement with a different unit?
- What is the significance of significant figures in error calculation?
- How does the unit of measurement impact the percentage error?
Tip: Always consider the smallest unit of measurement when calculating percentage error, as it significantly affects the accuracy of your result.
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Math Problem Analysis
Mathematical Concepts
Measurement
Error Analysis
Percentage
Formulas
Percentage Error Formula: (Absolute Error / Measured Value) * 100
Theorems
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Suitable Grade Level
Grades 9-12
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