Multiply the
`23.14 xx 2.341`

Answer

To solve the multiplication of \( 23.14 \times 2.341 \), we can follow these steps:

### Step 1: Remove the Decimals
First, we will remove the decimals from both numbers to make the multiplication easier.

- \( 23.14 \) becomes \( 2314 \) (we move the decimal point two places to the right).
- \( 2.341 \) becomes \( 2341 \) (we move the decimal point three places to the right).

### Step 2: Multiply the Whole Numbers
Now we will multiply \( 2314 \) by \( 2341 \).

1. Multiply \( 2314 \) by \( 1 \):
- \( 2314 \times 1 = 2314 \)

2. Multiply \( 2314 \) by \( 4 \) (shift one position to the left):
- \( 2314 \times 4 = 9256 \)

3. Multiply \( 2314 \) by \( 3 \) (shift two positions to the left):
- \( 2314 \times 3 = 6942 \)

4. Multiply \( 2314 \) by \( 2 \) (shift three positions to the left):
- \( 2314 \times 2 = 4628 \)

### Step 3: Add the Results
Now we will add all the results together, aligning them properly according to their place value:

```
2314
9256
6942
4628
_________
```

Adding them step by step:
- Start from the rightmost column:
- \( 4 \)
- \( 4 + 6 = 10 \) (write down \( 0 \), carry \( 1 \))
- \( 1 + 5 + 2 = 8 \)
- \( 2 + 9 + 4 + 1 = 16 \) (write down \( 6 \), carry \( 1 \))
- \( 1 + 6 = 7 \)

So, the total from the addition is \( 5448144 \).

### Step 4: Count the Decimal Places
Now we need to determine where to place the decimal point in our final answer.

- In \( 23.14 \), there are 2 decimal places.
- In \( 2.341 \), there are 3 decimal places.
- Therefore, the total number of decimal places is \( 2 + 3 = 5 \).

### Step 5: Place the Decimal Point
We will place the decimal point 5 places from the right in \( 5448144 \):

- \( 54481.44 \)

### Final Answer
Thus, the final answer for \( 23.14 \times 2.341 \) is \( 54.48144 \).

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