Evaluate:
`8.192 xx 13`

Answer

To evaluate \( 8.192 \times 13 \), we will follow these steps:

### Step 1: Remove the Decimal Point
First, we will remove the decimal point from \( 8.192 \) and consider it as \( 8192 \).

### Step 2: Multiply 8192 by 13
Now, we will multiply \( 8192 \) by \( 13 \).

#### Step 2.1: Multiply by the Units Place (3)
- \( 3 \times 2 = 6 \)
- \( 3 \times 9 = 27 \) (write down 7 and carry over 2)
- \( 3 \times 1 = 3 \) plus the carry over 2 gives \( 5 \)
- \( 3 \times 8 = 24 \)

So, the result of this multiplication is \( 24576 \).

#### Step 2.2: Multiply by the Tens Place (1)
- \( 1 \times 2 = 2 \)
- \( 1 \times 9 = 9 \)
- \( 1 \times 1 = 1 \)
- \( 1 \times 8 = 8 \)

This gives us \( 81920 \) (remember to shift one place to the left).

### Step 3: Add the Results
Now, we will add the two results together:
```
24576
+ 81920
--------
106192
```

### Step 4: Place the Decimal Point
Since we initially removed the decimal point from \( 8.192 \), we need to place it back. The original number \( 8.192 \) has 3 digits after the decimal point. Therefore, we will count 3 digits from the right in \( 106192 \) and place the decimal point.

This gives us \( 106.192 \).

### Final Answer
Thus, the final answer for \( 8.192 \times 13 \) is \( 106.192 \).

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