Solve Decimal Multiplication: 0.1 × 33.4 Step-by-Step

To solve the problem of finding $0.1 \times 33.4$, we'll employ the following method:

• Step 1: Multiply the numbers without considering decimals.
  Calculate $1 \times 33.4 = 33.4$.
• Step 2: Determine the decimal placement.
  The number $0.1$ has one decimal place, and $33.4$ has one decimal place. Therefore, the product should have $1 + 1 = 2$ decimal places.
• Step 3: Apply the decimal adjustment.
  Take the product $33.4$ and insert two decimal places from the right. This results in $3.34$.

Thus, the solution to the problem $0.1 \times 33.4$ is $\mathbf{3.34}$.