Math Problem Statement

percent error if the actual value is 0.998 and the calculated is 0.982

Solution

To calculate the percent error, you can use the following formula:

Percent Error=Actual ValueCalculated ValueActual Value×100\text{Percent Error} = \left|\frac{\text{Actual Value} - \text{Calculated Value}}{\text{Actual Value}}\right| \times 100

Given:

  • Actual Value = 0.998
  • Calculated Value = 0.982

Substitute the values into the formula:

Percent Error=0.9980.9820.998×100\text{Percent Error} = \left|\frac{0.998 - 0.982}{0.998}\right| \times 100

Percent Error=0.0160.998×100\text{Percent Error} = \left|\frac{0.016}{0.998}\right| \times 100

Percent Error1.60%\text{Percent Error} \approx 1.60\%

So, the percent error is approximately 1.60%.

Would you like more details on this calculation or have any questions?

Here are some related questions you might be interested in:

  1. How do you interpret percent error in an experiment?
  2. What is the difference between percent error and percent difference?
  3. How does the accuracy of measurement tools affect percent error?
  4. What is considered a good percent error in scientific experiments?
  5. Can percent error be negative, and what does it mean if it is?

Tip: When calculating percent error, always compare the error to the actual value, not the calculated value, to ensure accurate results.

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Math Problem Analysis

Mathematical Concepts

Error Analysis
Percentage Calculation

Formulas

Percent Error = |(Actual Value - Calculated Value) / Actual Value| × 100

Theorems

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Suitable Grade Level

Grades 9-12