Estimate each of the following products by rounding off each number upwards and the second number downwards :
`183xx154`

Answer

To estimate the product of 183 and 154 by rounding the first number upwards and the second number downwards, we will follow these steps:

### Step 1: Round 183 upwards
- **Identify the nearest hundred**: The number 183 is between 100 and 200. To round it upwards to the nearest hundred, we look at the hundreds place, which is 1.
- **Add 1 to the hundreds place**: We add 1 to the hundreds place digit (1), resulting in 2.
- **Replace other digits with zeros**: The rounded value becomes 200 (2 in the hundreds place, and the tens and units places are replaced with 0).

**Rounded value of 183 upwards: 200**

### Step 2: Round 154 downwards
- **Identify the nearest hundred**: The number 154 is also between 100 and 200. To round it downwards to the nearest hundred, we look at the hundreds place, which is 1.
- **Keep the hundreds place the same**: Since we are rounding down, we keep the hundreds place as 1.
- **Replace other digits with zeros**: The rounded value becomes 100 (1 in the hundreds place, and the tens and units places are replaced with 0).

**Rounded value of 154 downwards: 100**

### Step 3: Calculate the estimated product
- **Multiply the rounded values**: Now we multiply the rounded values obtained from the previous steps.

\[ 200 \times 100 = 20000 \]

### Final Answer
The estimated product of 183 and 154 is **20,000**.

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