Evaluate : `1.2 xx 2.3 xx 0.4`

Answer

To evaluate the expression \(1.2 \times 2.3 \times 0.4\), we will follow these steps:

### Step 1: Remove the decimals
First, we can ignore the decimals and multiply the numbers as if they were whole numbers.
- Convert \(1.2\) to \(12\) (by multiplying by \(10\))
- Convert \(2.3\) to \(23\) (by multiplying by \(10\))
- Convert \(0.4\) to \(4\) (by multiplying by \(10\))

### Step 2: Multiply the whole numbers
Now, we will multiply \(12\), \(23\), and \(4\) together.

1. **Multiply \(12\) and \(23\)**:
- \(12 \times 23\)
- \(3 \times 12 = 36\) (write down \(6\), carry \(3\))
- \(2 \times 12 = 24\), plus the carry \(3\) gives \(27\)
- So, \(12 \times 23 = 276\)

2. **Now multiply the result by \(4\)**:
- \(276 \times 4\)
- \(6 \times 4 = 24\) (write down \(4\), carry \(2\))
- \(7 \times 4 = 28\), plus the carry \(2\) gives \(30\) (write down \(0\), carry \(3\))
- \(2 \times 4 = 8\), plus the carry \(3\) gives \(11\)
- So, \(276 \times 4 = 1104\)

### Step 3: Count the decimal places
Now we need to place the decimal point in our result \(1104\).

- In the original numbers, \(1.2\) has 1 decimal place, \(2.3\) has 1 decimal place, and \(0.4\) has 1 decimal place.
- Thus, the total number of decimal places is \(1 + 1 + 1 = 3\).

### Step 4: Place the decimal point
We need to place the decimal point in \(1104\) so that there are 3 digits to the right of the decimal point:
- Starting from the right, we count 3 digits: \(1.104\).

### Final Answer
The final answer is \(1.104\).

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