Estimate the sum or difference as indicated:
4,567-812 (rounding off to the nearest hundred)

Answer

To estimate the difference between 4,567 and 812 by rounding to the nearest hundred, we can follow these steps:

### Step 1: Round 4,567 to the nearest hundred
- Look at the digit in the tens place of 4,567, which is 6.
- Since 6 is greater than 5, we round up.
- Add 1 to the hundreds place (5), making it 6, and change the tens and ones places to 0.
- Therefore, 4,567 rounded to the nearest hundred is **4,600**.

### Step 2: Round 812 to the nearest hundred
- Look at the digit in the tens place of 812, which is 1.
- Since 1 is less than 5, we round down.
- Change the tens and ones places to 0, keeping the hundreds place unchanged.
- Therefore, 812 rounded to the nearest hundred is **800**.

### Step 3: Subtract the rounded numbers
- Now, we subtract the rounded numbers: 4,600 - 800.
- Performing the subtraction gives us:
- 4,600 - 800 = 3,800.

### Final Answer
The estimated difference of 4,567 - 812, when rounded to the nearest hundred, is **3,800**.

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