Find the product :
`212.22 xx 3.05`

Answer

To find the product of \( 212.22 \) and \( 3.05 \), we can follow these steps:

### Step 1: Remove the Decimal Points
First, we will ignore the decimal points in both numbers for the purpose of multiplication.

- \( 212.22 \) becomes \( 21222 \)
- \( 3.05 \) becomes \( 305 \)

### Step 2: Multiply the Whole Numbers
Now, we multiply \( 21222 \) by \( 305 \).

1. Multiply \( 5 \) (from \( 305 \)) by \( 21222 \):
- \( 5 \times 2 = 10 \) (write down \( 0 \), carry \( 1 \))
- \( 5 \times 1 = 5 \) plus carry \( 1 = 6 \)
- \( 5 \times 2 = 10 \) (write down \( 0 \), carry \( 1 \))
- \( 5 \times 2 = 10 \) plus carry \( 1 = 11 \)
- So, the result of this multiplication is \( 106110 \).

2. Multiply \( 0 \) (from \( 305 \)) by \( 21222 \):
- This will result in \( 0 \).

3. Multiply \( 3 \) (from \( 305 \)) by \( 21222 \):
- \( 3 \times 2 = 6 \)
- \( 3 \times 1 = 3 \)
- \( 3 \times 2 = 6 \)
- \( 3 \times 2 = 6 \)
- So, the result of this multiplication is \( 63666 \) (shifted one position to the left because it's in the tens place).

### Step 3: Add the Results
Now we add the results of the multiplications:

```
106110
+ 636660
------------
647130
```

### Step 4: Place the Decimal Point
Now we need to place the decimal point in the result.

- In \( 212.22 \), there are 2 decimal places.
- In \( 3.05 \), there are also 2 decimal places.
- Therefore, in total, we have \( 2 + 2 = 4 \) decimal places.

We will place the decimal point 4 digits from the right in \( 647130 \):

So, \( 647130 \) becomes \( 64.7130 \) or simply \( 64.713 \).

### Final Answer
The product of \( 212.22 \) and \( 3.05 \) is \( 64.713 \).

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