Round off the following numbers to the nearest 100.
a. 1456 . 8631 c. 3542 d. 4574 e. 4765 f. 9829

Answer

To round off the given numbers to the nearest hundred, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Rounding Rule**:
- If the last two digits of the number are less than 50, round down to the nearest hundred.
- If the last two digits are 50 or more, round up to the nearest hundred.

2. **Round off 1456**:
- The last two digits are 56 (which is greater than 50).
- Therefore, we round up to 1500.

3. **Round off 8631**:
- The last two digits are 31 (which is less than 50).
- Therefore, we round down to 8600.

4. **Round off 3542**:
- The last two digits are 42 (which is less than 50).
- Therefore, we round down to 3500.

5. **Round off 4574**:
- The last two digits are 74 (which is greater than 50).
- Therefore, we round up to 4600.

6. **Round off 4765**:
- The last two digits are 65 (which is greater than 50).
- Therefore, we round up to 4800.

7. **Round off 9829**:
- The last two digits are 29 (which is less than 50).
- Therefore, we round down to 9800.

### Final Answers:
- a. 1456 → 1500
- b. 8631 → 8600
- c. 3542 → 3500
- d. 4574 → 4600
- e. 4765 → 4800
- f. 9829 → 9800