Find the smallest and greatest numbers which are rounded off to the nearest thousand as 9000.

Options

A. 8599, 9400
B. 8449, 9500
C. 8499, 9500
D. 8500, 9499

Explanation

To find the smallest and greatest numbers that round off to the nearest thousand as 9000, we need to understand how rounding works.

### Step-by-Step Solution:

1. **Understanding Rounding to the Nearest Thousand**:
- When rounding a number to the nearest thousand, if the number is less than 500 away from the nearest thousand, it will round down. If it is 500 or more, it will round up.
- For example, 8999 rounds down to 9000, while 9000 rounds to itself, and 9001 rounds up to 1000.

2. **Finding the Smallest Number**:
- To find the smallest number that rounds to 9000, we need to find the largest number that is less than 9000 but still rounds to 9000.
- The largest number that rounds down to 9000 is 8999.
- Therefore, the smallest number that rounds to 9000 is **8500** (since 8500 is the threshold where it starts rounding to 9000).

3. **Finding the Greatest Number**:
- To find the greatest number that rounds to 9000, we need to find the smallest number that is greater than 9000 but still rounds to 9000.
- The smallest number that rounds up to 10000 is 9500.
- Therefore, the greatest number that rounds to 9000 is **9499** (since 9499 is the last number that rounds down to 9000).

4. **Final Answer**:
- The smallest number that rounds to 9000 is **8500**.
- The greatest number that rounds to 9000 is **9499**.

### Summary:
- **Smallest number**: 8500
- **Greatest number**: 9499