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

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

\[
\text{Percent Error} = \left|\frac{\text{Actual Value} - \text{Calculated Value}}{\text{Actual Value}}\right| \times 100
\]

Given:
- Actual Value = 0.998
- Calculated Value = 0.982

Substitute the values into the formula:

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

\[
\text{Percent Error} = \left|\frac{0.016}{0.998}\right| \times 100
\]

\[
\text{Percent Error} \approx 1.60\%
\]

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.

Calculate the percent error between an actual value of 0.998 and a calculated value of 0.982 using the percent error formula. This detailed step-by-step solution is ideal for students in Grades 9-12, focusing on error analysis and percentage calculations.

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