Solve Decimal Multiplication: 0.01 × 285.11 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Multiply $0.01$ by $285.11$ considering decimal multiplication rules.
• Step 2: Determine the placement of the decimal point in the product.
• Step 3: Identify the correct answer choice based on the calculation.

Now, let's work through each step:

Step 1: First, convert the numbers into whole numbers and multiply:

$0.01 = \frac{1}{100}$ and $285.11 = 28511/100$.

Ignoring the decimals temporarily, calculate $1 \times 28511 = 28511$.

Step 2: Determine the placement of the decimal point:

Since $0.01$ has 2 decimal places and $285.11$ has 2 decimal places, the total number of decimal places in the product is $2 + 2 = 4$.

Adjust the product $28511$ by placing the decimal point 4 places from the end:

This gives us $2.8511$.

Step 3: Compare this result with the given choices.

The correct answer is the choice that matches our calculation:

The solution to the problem is $2.8511$.