Estimate the following (rounding off each number to its greatest place):
`65xx87`

Answer

To estimate the product of the numbers 65 and 87 by rounding them off to their greatest place, follow these steps:

### Step 1: Identify the greatest place value for each number.
The greatest place value for both numbers is the tens place.

### Step 2: Round off 65 to its greatest place.
- The number 65 has 6 in the tens place and 5 in the units place.
- Since the digit in the units place (5) is equal to 5, we round up.
- Therefore, 65 rounds to 70.

### Step 3: Round off 87 to its greatest place.
- The number 87 has 8 in the tens place and 7 in the units place.
- Since the digit in the units place (7) is greater than 5, we round up.
- Therefore, 87 rounds to 90.

### Step 4: Multiply the rounded numbers.
- Now we multiply the rounded numbers: 70 and 90.
- \( 70 \times 90 = 6300 \).

### Final Answer:
The estimated value of the multiplication of 65 and 87 is **6300**.

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