Decimal Multiplication: Place the Decimal Point in 6.13 × 2.05 = 125665

To resolve the problem of finding the correct decimal point placement in the product of $6.13$ and $2.05$, we proceed as follows:

• Step 1: Calculate the total decimal places by adding the decimal places of each number.
  - The number $6.13$ has 2 decimal places.
  - The number $2.05$ has 2 decimal places.
  - Therefore, the total number of decimal places in the product should be $2 + 2 = 4$.

• Step 2: Place the decimal point in the product number $125665$ to achieve 4 decimal places.
  - Starting from the right, count four places towards the left: $1256.65$.
  - From $1256.65$, adjust to achieve 4 places, resulting in $12.5665$.

Thus, the correctly positioned product is $12.5665$.