The number which when rounded off to the nearest thousands gives 6000 is

Options

A. 6452
B. 5478
C. 6964
D. 6598

Answer

To find the number that, when rounded off to the nearest thousand, gives 6000, 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, we look at the hundreds digit (the third digit from the right).
- If the hundreds digit is 5 or more, we round up. If it is less than 5, we round down.

2. **Identifying the Range for Rounding to 6000**:
- The numbers that round to 6000 when rounded to the nearest thousand are from 5500 to 6499.
- This is because:
- 5500 rounds up to 6000.
- 6499 rounds down to 6000.

3. **Evaluating the Options**:
- Now we will check the provided options to see which one falls within the range of 5500 to 6499.
- **Option A: 6452**
- The hundreds digit is 4 (less than 5), so 6452 rounds down to 6000.
- **Option B: 5478**
- The hundreds digit is 4 (less than 5), so 5478 rounds down to 5000.
- **Option C: 6964**
- The hundreds digit is 9 (more than 5), so 6964 rounds up to 7000.
- **Option D: 6598**
- The hundreds digit is 5 (equal to 5), so 6598 rounds up to 7000.

4. **Conclusion**:
- The only number that rounds to 6000 is **6452**.

### Final Answer:
The number which when rounded off to the nearest thousand gives 6000 is **6452**.