Estimate each difference to the nearest hundred :
`(7258-2429)`

Answer

To estimate the difference \(7258 - 2429\) to the nearest hundred, we will follow these steps:

### Step 1: Round \(7258\) to the nearest hundred
- Look at the tens digit of \(7258\), which is \(5\).
- Since \(5\) is equal to or greater than \(5\), we round up.
- Add \(1\) to the hundreds place (which is \(2\)) and change the tens and units places to \(0\).
- Thus, \(7258\) rounds to \(7300\).

### Step 2: Round \(2429\) to the nearest hundred
- Look at the tens digit of \(2429\), which is \(2\).
- Since \(2\) is less than \(5\), we round down.
- The hundreds place remains the same, and the tens and units places change to \(0\).
- Thus, \(2429\) rounds to \(2400\).

### Step 3: Calculate the estimated difference
- Now we subtract the rounded numbers: \(7300 - 2400\).
- Performing the subtraction:
- \(0 - 0 = 0\)
- \(0 - 0 = 0\)
- \(3 - 4\) requires borrowing, so we take \(1\) from \(7\) (making it \(6\)), which turns \(3\) into \(13\):
- \(13 - 4 = 9\)
- \(6 - 2 = 4\)
- Therefore, the estimated difference is \(4900\).

### Final Answer
The estimated difference of \(7258 - 2429\) to the nearest hundred is \(4900\).

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