Estimate each of the following products by rounding off each number to the nearest ten :
`42xx75`

Answer

To estimate the product of 42 and 75 by rounding each number to the nearest ten, we can follow these steps:

### Step 1: Round 42 to the nearest ten
- Look at the digit in the ones place of 42, which is 2.
- Since 2 is less than 5, we do not change the digit in the tens place (4).
- Therefore, rounding 42 gives us **40**.

### Step 2: Round 75 to the nearest ten
- Look at the digit in the ones place of 75, which is 5.
- Since 5 is equal to 5, we round up. We add 1 to the digit in the tens place (7).
- So, rounding 75 gives us **80**.

### Step 3: Multiply the rounded numbers
- Now, we multiply the rounded numbers: 40 and 80.
- Calculation:
\[ 40 \times 80 = 3200 \]

### Conclusion
The estimated product of 42 and 75 is **3200**.

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