https://file.aiquickdraw.com/mathbot/file/1725888806581sj45m2jp.jpg

The mathematical operation in the image asks to perform:

\[
7.68 \times 4.564
\]

Let's first calculate the product, and then report the result using the correct number of significant figures.

- **7.68** has 3 significant figures.
- **4.564** has 4 significant figures.

The final result should be reported with 3 significant figures (the smallest number of significant figures from the two values). I'll calculate it now.The product of \( 7.68 \times 4.564 \) is \( 35.052 \). When rounded to 3 significant figures, the final answer is:

\[
35.1
\]

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

Here are five related questions for further exploration:

1. How do you determine the number of significant figures in a result?
2. What are the rules for rounding numbers based on significant figures?
3. How does multiplication with different numbers of significant figures affect precision?
4. Can significant figures change when adding or subtracting numbers?
5. What is the difference between significant figures and decimal places?

**Tip:** When multiplying or dividing numbers, the result should always be rounded to the same number of significant figures as the number with the fewest significant figures.

Perform the following mathematical operation, and report the answer to the correct number of significant figures: 7.68 × 4.564

Learn how to multiply 7.68 by 4.564 and correctly report the result using significant figures. This problem covers the concept of significant figures and the rounding rule, making it suitable for students in Grades 8-10.

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