Estimate each of the following products by rounding off each number to the nearest hundred :
`509xx179`

Answer

To estimate the product of 509 and 179 by rounding each number to the nearest hundred, we can follow these steps:

### Step 1: Round 509 to the nearest hundred
- Look at the tens digit of 509, which is 0.
- Since 0 is less than 5, we do not increase the hundreds digit (5).
- Therefore, 509 rounded to the nearest hundred is **500**.

### Step 2: Round 179 to the nearest hundred
- Look at the tens digit of 179, which is 7.
- Since 7 is greater than 5, we increase the hundreds digit (1) by 1.
- Therefore, 179 rounded to the nearest hundred is **200**.

### Step 3: Multiply the rounded numbers
- Now we multiply the rounded numbers: 500 and 200.
- The multiplication is calculated as follows:
\[ 500 \times 200 = 100000 \]

### Final Answer
The estimated product of 509 and 179, after rounding to the nearest hundred, is **100000**.

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