https://file.aiquickdraw.com/mathbot/file/1726716591215bbscxj5x.jpg

The equation from the image is:

\[
\frac{9.875 \times 10^2 - 9.795 \times 10^2}{9.875 \times 10^2} \times 100
\]

This expression seems to calculate the percentage change between two values, where:

- \( 9.875 \times 10^2 \) is the initial value.
- \( 9.795 \times 10^2 \) is the new value.

### Let's break it down:

1. **Subtract the two values** in the numerator:
   \[
   9.875 \times 10^2 - 9.795 \times 10^2 = (987.5 - 979.5) = 8
   \]

2. **Divide** the result by the original value (denominator):
   \[
   \frac{8}{987.5} \approx 0.0081
   \]

3. **Multiply by 100** to convert it into a percentage:
   \[
   0.0081 \times 100 = 0.81\%
   \]

### Final Result:
The result of the given expression is approximately **0.81%**.

Would you like further clarification or more details on any step?

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Here are 5 related questions to explore further:
1. How do you calculate percentage change in other contexts?
2. What is scientific notation, and why is it used in calculations?
3. How does rounding affect percentage calculations?
4. What are significant figures, and how do they apply here?
5. Can this percentage change method be used for financial data or growth rates?

**Tip:** Always keep track of units and significant figures when performing percentage calculations, especially in scientific contexts!

(9.875×10^2−9.795×10^2) / 9.875×10^2 × 100

Learn how to calculate the percentage change between two values using scientific notation. The example involves the formula (9.875×10^2 - 9.795×10^2) / 9.875×10^2 × 100, showing how to subtract, divide, and multiply to find the percentage.

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