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)? what area is represented by each square?

Explanation:

Step1: Understand the multiplication

We need to calculate the product of \(0.3\) and \(0.5\). In decimal multiplication, we can think of it as multiplying the numbers as if they were whole numbers and then adjusting the decimal points.
\(3\times5 = 15\)

Step2: Determine the decimal places

\(0.3\) has one decimal place and \(0.5\) has one decimal place, so the product should have \(1 + 1=2\) decimal places.
We take the result from Step 1 (\(15\)) and place the decimal point two places from the right, giving \(0.15\).
Or, we can think of \(0.3\) as \(\frac{3}{10}\) and \(0.5\) as \(\frac{5}{10}\). Then \(\frac{3}{10}\times\frac{5}{10}=\frac{15}{100}=0.15\).

Answer:

\(0.15\)