Estimate each of the following products by rounding off each number downwards and the second number upwards :
`356xx278`

Answer

To estimate the product of 356 and 278 by rounding the first number downwards and the second number upwards, follow these steps:

### Step 1: Round 356 Downwards
- Identify the nearest hundred below 356.
- The hundreds digit is 3, and the next digit (tens) is 5. Since we are rounding down, we keep the hundreds digit as it is and replace the tens and units digits with zeros.
- Therefore, rounding 356 downwards gives us **300**.

### Step 2: Round 278 Upwards
- Identify the nearest hundred above 278.
- The hundreds digit is 2, and the next digit (tens) is 7. Since we are rounding upwards, we add 1 to the hundreds digit and replace the tens and units digits with zeros.
- Therefore, rounding 278 upwards gives us **300**.

### Step 3: Calculate the Estimated Product
- Now, multiply the rounded values obtained from Step 1 and Step 2.
- The estimated product is **300 multiplied by 300**.
- Performing the multiplication:
\[ 300 \times 300 = 90000 \]

### Final Answer
The estimated product of 356 and 278 is **90000**.

---