Question

you can use a rectangle to represent (0.3)·(0.5).
what must the side length of each square represent for the rectangle to correctly represent (0.3)·(0.5)?
b. what area is represented by each square?
c. what is (0.3)·(0.5)? show your reasoning.

Explanation:

Part c:

Step1: Recall decimal multiplication rule

To multiply decimals, we can first multiply them as whole numbers and then place the decimal point. For \(0.3\times0.5\), we know that \(3\times5 = 15\).

Step2: Determine decimal places

The number \(0.3\) has 1 decimal place and \(0.5\) has 1 decimal place. So the total number of decimal places in the product is \(1 + 1=2\).

Step3: Place the decimal point

We take the product of the whole numbers (\(15\)) and place the decimal point 2 places from the right. So \(0.3\times0.5=\frac{3}{10}\times\frac{5}{10}=\frac{15}{100} = 0.15\).

Answer:

\(0.15\)