Evaluate : `2.343 xx 13 `

Answer

To evaluate \(2.343 \times 13\), we can follow these steps:

### Step 1: Convert the Decimal to a Fraction
We can express \(2.343\) as a fraction. Since there are three decimal places, we can write:
\[ 2.343 = \frac{2343}{1000} \]

### Step 2: Multiply by 13
Now, we can multiply \(2343\) by \(13\):
\[ 2343 \times 13 \]

### Step 3: Perform the Multiplication
Let's perform the multiplication step by step:
- \(3 \times 13 = 39\) (write down 9 and carry over 3)
- \(4 \times 13 = 52\), plus the carry over \(3\) gives \(55\) (write down 5 and carry over 5)
- \(3 \times 13 = 39\), plus the carry over \(5\) gives \(44\) (write down 4 and carry over 4)
- \(2 \times 13 = 26\), plus the carry over \(4\) gives \(30\) (write down 30)

So, \(2343 \times 13 = 30459\).

### Step 4: Adjust for the Decimal
Now, we need to place the decimal point back in the result. Since \(2.343\) had three decimal places, we will place the decimal point three places from the right in \(30459\):
\[ 30459 \rightarrow 30.459 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{30.459} \]

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