Evaluate: `3.1241 xx 2 `

Options

A. `6.2982`
B. `6.7482`
C. `6.2482`
D. `5.2482`

Answer

To evaluate \( 3.1241 \times 2 \), we will follow these steps:

### Step 1: Write down the numbers
We start with the numbers we need to multiply:
\[ 3.1241 \]
and
\[ 2 \]

### Step 2: Multiply the whole number by each digit of the decimal
We will multiply \( 3.1241 \) by \( 2 \) as follows:

- Multiply \( 2 \) by \( 1 \) (the last digit of \( 3.1241 \)):
\[ 2 \times 1 = 2 \]

- Multiply \( 2 \) by \( 4 \):
\[ 2 \times 4 = 8 \]

- Multiply \( 2 \) by \( 2 \):
\[ 2 \times 2 = 4 \]

- Multiply \( 2 \) by \( 1 \):
\[ 2 \times 1 = 2 \]

- Multiply \( 2 \) by \( 3 \):
\[ 2 \times 3 = 6 \]

### Step 3: Combine the results
Now we will write the results in the correct order from the last multiplication to the first:
\[ 6 \quad 2 \quad 4 \quad 8 \quad 2 \]

### Step 4: Determine the position of the decimal point
Next, we need to place the decimal point. The original number \( 3.1241 \) has 4 decimal places. Therefore, we will place the decimal point in our result after 4 digits from the right:
\[ 6.2482 \]

### Final Answer
Thus, the result of \( 3.1241 \times 2 \) is:
\[ \boxed{6.2482} \]

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