Find the product :
`3.61 xx 4.04`

Answer

To find the product of \(3.61\) and \(4.04\), we can follow these steps:

### Step 1: Ignore the decimals
First, we will ignore the decimal points and multiply the numbers as if they were whole numbers. So, we will multiply \(361\) by \(404\).

### Step 2: Multiply the numbers
Now, let's perform the multiplication:

\[ 361 \times 404 \]

We can break this down as follows:

1. Multiply \(361\) by \(4\) (the last digit of \(404\)):
- \(4 \times 1 = 4\)
- \(4 \times 6 = 24\) (write down \(4\) and carry over \(2\))
- \(4 \times 3 = 12\) (add the carry \(2\) to get \(14\))
- So, \(361 \times 4 = 1444\)

2. Multiply \(361\) by \(0\) (the middle digit of \(404\)):
- Any number multiplied by \(0\) is \(0\), so this step gives us \(0\).

3. Multiply \(361\) by \(4\) again (the first digit of \(404\)):
- This will be \(361 \times 4 = 1444\), but we need to shift this result one position to the left (since it's actually \(40\)).
- So, we write \(14440\).

### Step 3: Add the results
Now we add the results from the three steps:

\[ \begin{array}{r} 1444 \\ + 0 \\ + 14440 \\ \hline 145684 \\ \end{array} \]

So, \(361 \times 404 = 145684\).

### Step 4: Place the decimal
Now, we need to place the decimal point. We originally had two decimal places in \(3.61\) and two decimal places in \(4.04\), making a total of four decimal places.

We will place the decimal point four places from the right in \(145684\):

\[ 145684 \rightarrow 14.5684 \]

### Final Answer
Thus, the product of \(3.61\) and \(4.04\) is:

\[ \boxed{14.5684} \]

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