Exchange the digits 2 and 7 of the following numbers and compare the new number with the previous one :
172984

Answer

To solve the problem of exchanging the digits 2 and 7 in the number 172984 and comparing the new number with the original, we can follow these steps:

### Step 1: Identify the Original Number
The original number is 172984.

### Step 2: Identify the Digits to Exchange
We need to exchange the digits 2 and 7 in the number.

### Step 3: Write Down the Original Number with Place Values
Let's write the number with its place values:
- 1 (100,000)
- 7 (10,000)
- 2 (1,000)
- 9 (100)
- 8 (10)
- 4 (1)

So, the number can be represented as:
- 1 (100,000) + 7 (10,000) + 2 (1,000) + 9 (100) + 8 (10) + 4 (1) = 172984

### Step 4: Exchange the Digits
Now, we will exchange the digits 2 and 7:
- The 2 in the thousand's place will move to the ten thousand's place.
- The 7 in the ten thousand's place will move to the thousand's place.

After exchanging, the new number will be:
- 1 (100,000) + 2 (10,000) + 7 (1,000) + 9 (100) + 8 (10) + 4 (1) = 127984

### Step 5: Write Down the New Number
The new number after exchanging the digits is 127984.

### Step 6: Compare the Two Numbers
Now we compare the original number (172984) with the new number (127984):
- The ten thousand's place of the original number (7) is greater than the ten thousand's place of the new number (2).

### Step 7: Conclusion
Since 7 (from the original number) is greater than 2 (from the new number), we conclude that:
172984 > 127984

### Final Statement
Thus, we can say that 172984 is greater than 127984.

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