Estimate the product of 34 and 75.

Answer

To estimate the product of 34 and 75, we will follow these steps:

### Step 1: Round off 34 to the nearest ten.
- The number 34 is a two-digit number.
- To round it off to the nearest ten, we look at the digit in the ones place, which is 4.
- Since 4 is less than 5, we do not increase the tens place.
- Therefore, we replace the ones place with 0, and the estimated value of 34 becomes **30**.

### Step 2: Round off 75 to the nearest ten.
- The number 75 is also a two-digit number.
- We look at the digit in the ones place, which is 5.
- Since 5 is equal to 5, we increase the tens place by 1.
- Therefore, we replace the ones place with 0, and the estimated value of 75 becomes **80**.

### Step 3: Multiply the estimated values.
- Now we multiply the estimated values obtained from the previous steps:
- 30 (from 34) and 80 (from 75).
- The multiplication is as follows:
- \( 30 \times 80 = 2400 \).

### Conclusion:
- The estimated product of 34 and 75 is **2400**.

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