Estimate the following (rounding off each number to its greatest place):
`3459xx35`

Answer

To estimate the product of 3459 and 35 by rounding each number to its greatest place value, we can follow these steps:

### Step 1: Round 3459 to the nearest thousand
- The number is 3459.
- The greatest place value here is the thousands place.
- We look at the last three digits (459) to determine how to round.
- Since 459 is less than 500, we round down.
- Therefore, 3459 rounds to **3000**.

### Step 2: Round 35 to the nearest ten
- The number is 35.
- The greatest place value here is the tens place.
- We look at the last digit (5) to determine how to round.
- Since 5 is equal to 5, we round up.
- Therefore, 35 rounds to **40**.

### Step 3: Multiply the rounded values
- Now we multiply the rounded numbers: 3000 and 40.
- Calculation:
- \( 3000 \times 40 = 120000 \).

### Final Answer
- The estimated product of 3459 and 35 is **120000**.

---