Solve Decimal Multiplication: 0.1 × 74.8 Step by Step

To solve this problem, let's follow these steps:

• Identify and Analyze Decimal Places: Both numbers $0.1$ and $74.8$ have decimal points. Specifically, $0.1$ has one decimal place, and $74.8$ has one decimal place, making a total of two decimal places.
• Perform Multiplication: Multiply the numbers as if they were whole numbers. Ignoring decimal points, multiply $1 \times 748$, which equals $748$.
• Place the Decimal Point: Since the multiplication involves two decimal places in total (one from each factor), the product $748$ should be adjusted to have two decimal places. Thus, it becomes $7.48$.

Thus, the result of multiplying $0.1 \times 74.8$ is $\mathbf{7.48}$.

The correct answer is choice 2: $\mathbf{7.48}$.