Estimate `7607-:489`

Answer

To estimate the value of \( 7607 \div 489 \), we can follow these steps:

### Step 1: Round the numbers to the nearest hundred
- **For 7607**: The nearest hundred is 7600. Since the digit in the tens place (0) is less than 5, we round down.
- **For 489**: The nearest hundred is 500. Since the digit in the tens place (8) is greater than 5, we round up.

### Step 2: Write the rounded numbers
- Rounded \( 7607 \) to \( 7600 \)
- Rounded \( 489 \) to \( 500 \)

### Step 3: Set up the division with the rounded numbers
Now we need to divide the rounded numbers:
\[ 7600 \div 500 \]

### Step 4: Simplify the division
To simplify \( 7600 \div 500 \):
- We can cancel out the zeros. Both numbers have one zero at the end:
\[ 76 \div 5 \]

### Step 5: Perform the division
Now, we can perform the division:
\[ 76 \div 5 = 15.2 \]
Since we are estimating, we can round \( 15.2 \) to the nearest whole number, which is \( 15 \).

### Final Answer
Thus, the estimated value of \( 7607 \div 489 \) is approximately \( 15 \).

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