Find the product :
`10.007 xx 11.1 xx 2`

Answer

To find the product of \(10.007 \times 11.1 \times 2\), we can follow these steps:

### Step 1: Multiply \(11.1\) and \(2\)
First, we will calculate the product of \(11.1\) and \(2\).

\[ 11.1 \times 2 = 22.2 \]

### Step 2: Multiply the result by \(10.007\)
Now, we will multiply \(10.007\) by \(22.2\).

To do this, we can ignore the decimals temporarily and multiply the numbers as whole numbers.

\[ 10007 \times 222 \]

### Step 3: Perform the multiplication
Now we will perform the multiplication:

1. Multiply \(10007\) by \(2\):
\[ 10007 \times 2 = 20014 \]

2. Multiply \(10007\) by \(20\) (which is \(2\) shifted one place to the left):
\[ 10007 \times 20 = 200140 \]

3. Multiply \(10007\) by \(200\) (which is \(2\) shifted two places to the left):
\[ 10007 \times 200 = 2001400 \]

### Step 4: Add the results
Now, we will add these products together:

\[ 20014 + 200140 + 2001400 = 2221554 \]

### Step 5: Determine the decimal places
Now, we need to account for the decimal places.

- \(10.007\) has 3 decimal places.
- \(11.1\) has 1 decimal place.
- \(2\) has 0 decimal places.

In total, we have:
\[ 3 + 1 + 0 = 4 \text{ decimal places.} \]

### Step 6: Place the decimal in the result
Now we will place the decimal in \(2221554\) to have 4 decimal places:

\[ 2221554 \rightarrow 222.1554 \]

### Final Answer
Thus, the final product is:

\[ \boxed{222.1554} \]