Exchange the digits 2 and 7 of the following numbers and compare the new number with the previous one :
578582

Answer

### Step-by-Step Solution:

1. **Identify the Original Number**: The given number is 578582.

2. **Identify the Digits to Exchange**: We need to exchange the digits 2 and 7. The digit 7 is in the ten-thousands place, and the digit 2 is in the ones place.

3. **Write the Place Values**:
- In the number 578582:
- 5 is in the lakhs place
- 7 is in the ten-thousands place
- 8 is in the thousands place
- 5 is in the hundreds place
- 8 is in the tens place
- 2 is in the ones place

4. **Exchange the Digits**:
- After exchanging the digits, the digit 7 moves to the ones place and the digit 2 moves to the ten-thousands place.
- The new number becomes 528587.

5. **Write the Place Values of the New Number**:
- In the new number 528587:
- 5 is in the lakhs place
- 2 is in the ten-thousands place
- 8 is in the thousands place
- 5 is in the hundreds place
- 8 is in the tens place
- 7 is in the ones place

6. **Compare the Two Numbers**:
- Original number: 578582
- New number: 528587
- To compare, we look at the highest place value first:
- In the ten-thousands place: 7 (in 578582) is greater than 2 (in 528587).
- Therefore, 578582 is greater than 528587.

7. **Conclusion**:
- The original number 578582 is greater than the new number 528587.