Solve Decimal Multiplication: 0.01 × 0.300 Step-by-Step

To solve this problem, we'll use the following steps:

• Step 1: Multiply the numbers as if they were whole numbers.
• Step 2: Count the number of decimal places in the original numbers.
• Step 3: Position the decimal point in the product accordingly.

Let's go through each step in detail:
Step 1: Multiply $1 \times 300 = 300$.
Step 2: Count the decimal places: $0.01$ has 2 decimal places and $0.300$ has 3 decimal places, making a total of 5 decimal places.
Step 3: Place the decimal point in the result 300, counting 5 places from the right: $0.00300$ (we can drop the trailing zeros to write it as $0.003$).

Therefore, the solution to the problem is $0.003$.