https://file.aiquickdraw.com/mathbot/file/1726888865210l6jsob0c.jpg

The question asks to **estimate** the following two problems:

1. \( 395 \times 51 \)
2. \( 8015 \div 198 \)

Let's estimate each one:

### 1. \( 395 \times 51 \)
We can round:
- \( 395 \) to \( 400 \)
- \( 51 \) to \( 50 \)

Now, estimate the multiplication:
\[
400 \times 50 = 20,000
\]
So, an estimate for \( 395 \times 51 \) is approximately **20,000**.

### 2. \( 8015 \div 198 \)
We can round:
- \( 8015 \) to \( 8000 \)
- \( 198 \) to \( 200 \)

Now, estimate the division:
\[
8000 \div 200 = 40
\]
So, an estimate for \( 8015 \div 198 \) is approximately **40**.

Would you like any further details or explanations?

### Related Questions:
1. What is the exact value of \( 395 \times 51 \)?
2. How would rounding affect the accuracy of \( 8015 \div 198 \)?
3. Why is rounding beneficial for estimating multiplication and division?
4. How can you refine estimates to be more precise?
5. What are common mistakes when estimating large numbers?

### Tip:
When estimating, always check if the rounding significantly changes the nature of the problem—round too much, and the estimate may be less useful!

Estimate the following:
1. 395 × 51
2. 8015 ÷ 198

Learn how to estimate the products and quotients of large numbers. This example estimates 395 × 51 and 8015 ÷ 198 by rounding and simplifying the operations. Suitable for students in Grades 5-7.

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