Solve Decimal Multiplication: 0.01 × 0.315 Step-by-Step

To solve the problem $0.01 \times 0.315$, we'll follow these steps:

• Step 1: Multiply the numbers ignoring the decimal points.
• Step 2: Place the decimal point in the product according to the combined decimal places in the original numbers.

Let's proceed through each step:

First, multiply the numbers as whole numbers: $1 \times 315 = 315$.

Next, count the total number of decimal places in the factors. The number $0.01$ has two decimal places, and $0.315$ has three decimal places, adding up to five decimal places.

Therefore, in the product, we need to place the decimal point five places from the right.

Starting from $315$, we place the decimal point to get $0.00315$. Since we add three leading zeros to accommodate the five decimal places total.

Thus, the result of $0.01 \times 0.315$ is $0.00315$.