Estimate each of the following products by rounding off each number downwards and the second number upwards :
`472xx76`

Answer

To estimate the product of 472 and 76 by rounding off the first number downwards and the second number upwards, we follow these steps:

### Step 1: Round off 472 downwards
- The number 472 has three digits. When rounding downwards, we keep the hundreds place (4) the same and change the tens and units place to zero.
- Therefore, rounding down 472 gives us **400**.

### Step 2: Round off 76 upwards
- The number 76 has two digits. When rounding upwards, we look at the tens place (7) and add 1 to it, while changing the units place (6) to zero.
- Thus, rounding up 76 gives us **80**.

### Step 3: Multiply the rounded values
- Now we multiply the rounded values from Step 1 and Step 2:
- \( 400 \times 80 \)
- To perform the multiplication:
- \( 4 \times 8 = 32 \)
- Then, add the two zeros from 400 and 80:
- So, \( 32 \) followed by \( 2 \) zeros gives us **32,000**.

### Final Answer
The estimated product of 472 and 76 is **32,000**.

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