Decimal Multiplication: Place the Decimal Point in 1.35 × 2.47 = 33345

To solve this problem, we will place the correct position for the decimal point in the product of $1.35$ and $2.47$.

Let's follow these steps:

• Step 1: Identify the number of decimal places in the numbers being multiplied. $1.35$ has 2 decimal places, and $2.47$ also has 2 decimal places.
• Step 2: Add these decimal places: $2 + 2 = 4$. So, the product should have 4 decimal places.
• Step 3: The given product without considering the decimal point is $33345$. We need to position the decimal so that the product has 4 decimal places.

Now, let's work through applying these steps:
Step 1: $1.35$ and $2.47$ each contribute 2 decimal places.
Step 2: We sum $2 + 2$ to get a total of 4 decimal places for the final result.
Step 3: Place the decimal point in $33345$ so that there are four digits after the decimal point. This gives us $3.3345$.

Therefore, the correct placement of the decimal point in $33345$ is $\mathbf{3.3345}$.