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For this problem, you need to round the numbers \( 376 \) and \( 814 \) to the nearest hundred and then multiply the rounded values.

### Step-by-Step Solution:
1. **Round 376:**  
   - \( 376 \) rounds to \( 400 \) (as it is closer to 400 than to 300).

2. **Round 814:**  
   - \( 814 \) rounds to \( 800 \) (as it is closer to 800 than to 900).

3. **Multiply the Rounded Numbers:**  
   - Now, multiply \( 400 \) by \( 800 \):
   \[
   400 \times 800 = 320,000
   \]

So, the correct answers are:
- 376 rounds to \( 400 \).
- 814 rounds to \( 800 \).
- The estimated product is \( 320,000 \).

Would you like a more detailed explanation on rounding or multiplication?

### Related Questions:
1. How do you round numbers to the nearest ten?
2. What is the process for rounding numbers to the nearest thousand?
3. How would you estimate the product of 523 and 479 using rounding?
4. Why is estimation useful in multiplication?
5. How can you check if your rounded estimation is close to the actual product?

#### Tip:
When rounding, look at the digit in the place immediately to the right of the place you’re rounding to. If it’s 5 or higher, round up; if it’s 4 or lower, round down.

376 × 814. 376 rounds to 300. 814 rounds to _______.

Learn how to round 376 and 814 to the nearest hundred and estimate the product. A simple exercise on rounding numbers and multiplying the results, suitable for elementary students in Grades 3-5.

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