Decimal Multiplication: Placing the Decimal Point in 0.10 × 0.10 = 001

Given the following exercise, find the correct place of the decimal point:

$0.10\times0.10=001$

To solve the problem of finding the correct place for the decimal point in the product $0.10 \times 0.10$, follow these steps:

• Step 1: Identify the number of decimal places in each factor.
• Step 2: Note that $0.10$ has 2 decimal places, and $0.10$ also has 2 decimal places.
• Step 3: Add the decimal places from both factors: $2 + 2 = 4$.
• Step 4: Calculate the product treating them as whole numbers: $10 \times 10 = 100$.
• Step 5: Place the decimal point in the product so that it has a total of 4 decimal places, resulting in $0.0100$.
• Step 6: Simplify $0.0100$ by removing the redundant zeros to get $0.01$.

Therefore, the correct placement of the decimal point in the product $0.10 \times 0.10$ is $0.01$.