Estimate each of the following products by rounding off each number to the nearest hundred :
`271xx339`

Answer

To estimate the product of 271 and 339 by rounding each number to the nearest hundred, we can follow these steps:

### Step 1: Round 271 to the nearest hundred
- Look at the tens digit of 271, which is 7.
- Since 7 is greater than 5, we round up.
- Add 1 to the hundreds digit (2), which becomes 3.
- Replace the tens and units digits with 0.
- Therefore, 271 rounded to the nearest hundred is **300**.

### Step 2: Round 339 to the nearest hundred
- Look at the tens digit of 339, which is 3.
- Since 3 is less than 5, we do not round up.
- The hundreds digit (3) remains the same.
- Replace the tens and units digits with 0.
- Therefore, 339 rounded to the nearest hundred is **300**.

### Step 3: Multiply the rounded numbers
- Now we multiply the rounded numbers: 300 and 300.
- Calculation:
\[ 300 \times 300 = 3 \times 3 = 9 \]
- Since we have two zeros from each number, we add four zeros to the result.
- Therefore, the estimated product is **90,000**.

### Final Answer:
The estimated product of 271 and 339, after rounding to the nearest hundred, is **90,000**.

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