Solve Decimal Multiplication: 0.01 × 0.45 Step-by-Step

$\text{0}.01\times0.45=$

To solve this multiplication problem, we will follow these steps:

• Step 1: Convert both decimal numbers to fractions or remove the decimals by considering them as whole numbers.
• Step 2: Multiply these whole numbers.
• Step 3: Place the decimal in the resulting product correctly by counting the sum of the decimal places in the original numbers.

Now, let's work through each step:

Step 1: We have the numbers $0.01$ and $0.45$.
Convert $0.01$ to $\frac{1}{100}$ and $0.45$ to $\frac{45}{100}$.

Step 2: Multiply $\frac{1}{100} \times \frac{45}{100} = \frac{1 \times 45}{100 \times 100} = \frac{45}{10000}$.

Step 3: Convert $\frac{45}{10000}$ back to a decimal form. Since $10000$ has 4 zeros, move the decimal four places to the left: $0.0045$.

Therefore, the product of $0.01$ and $0.45$ is $0.0045$.