Evaluate:
`12.24 xx 14`

Options

A. `171.206`
B. `191.36`
C. `171.36`
D. `198.36`

Answer

To evaluate \( 12.24 \times 14 \), we can follow these steps:

### Step 1: Convert the decimal to a whole number
First, we can express \( 12.24 \) as a whole number. We can do this by multiplying \( 12.24 \) by \( 100 \) to eliminate the decimal point:
\[ 12.24 = 124 \quad \text{(after moving the decimal point two places to the right)} \]

### Step 2: Multiply the whole number by 14
Now, we will multiply \( 124 \) by \( 14 \):
\[ 124 \times 14 \]

### Step 3: Perform the multiplication
We can break down the multiplication as follows:
- Multiply \( 124 \) by \( 4 \):
\[ 124 \times 4 = 496 \]
- Multiply \( 124 \) by \( 10 \):
\[ 124 \times 10 = 1240 \]

Now, add the two results together:
\[ 496 + 1240 = 1736 \]

### Step 4: Place the decimal point
Since we initially moved the decimal point two places to the right to convert \( 12.24 \) to \( 124 \), we need to move the decimal point back two places in our final result:
\[ 1736 \rightarrow 17.36 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{171.36} \]

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