Estimate the following by rounding off each number of its greatest place: `4562-:24`

Answer

To estimate the division of 4562 by 24 by rounding off each number to its greatest place, we can follow these steps:

### Step 1: Identify the greatest place value of 4562
The greatest place value of 4562 is the thousands place, which is 4. Since the last three digits (562) are greater than 500, we round up the thousands place from 4 to 5.

**Rounded Value of 4562:**
5 (thousands) = 5000

### Step 2: Identify the greatest place value of 24
The greatest place value of 24 is the tens place, which is 2. Since the last digit (4) is greater than 5, we round up the tens place from 2 to 3.

**Rounded Value of 24:**
3 (tens) = 30

### Step 3: Perform the division of the rounded values
Now we divide the rounded values:
5000 ÷ 30

### Step 4: Simplify the division
To simplify, we can divide both numbers by 10:
5000 ÷ 10 = 500
30 ÷ 10 = 3

Now we divide:
500 ÷ 3 = 166.67 (approximately)

### Step 5: Round the result
Since we are estimating, we can round 166.67 to the nearest whole number, which is 167.

### Final Answer
The estimated value of 4562 ÷ 24 is approximately **167**.

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