Question

which model represents the product 8 × 3/6?

Explanation:

Step1: Calculate \(8\times\frac{3}{6}\)

$$ 8\times\frac{3}{6}=\frac{8\times3}{6}=\frac{24}{6} = 4 $$

We need to find a model that represents the value \(4\). Each circle is divided into \(6\) equal - parts. A full - colored circle (all \(6\) parts colored) represents \(1\) whole (\(6/6 = 1\)).

Step2: Analyze the first set of models

The first set of models has \(4\) circles. Each circle is fully colored. Since each circle (with \(6\) parts) represents \(1\) (because \(\frac{6}{6}=1\)), \(4\) fully - colored circles (each circle is \(\frac{6}{6}\)) represent \(4\times1=4\)

Step3: Analyze the second set of models

The second set of models has \(2\) circles. The first circle is fully colored (\(\frac{6}{6} = 1\)) and the second circle has \(2\) out of \(6\) parts colored. The value of the second set is \(1+\frac{2}{6}=\frac{6 + 2}{6}=\frac{8}{6}=\frac{4}{3}
eq4\)

Answer:

The first set of models (the set with 4 fully - colored circles) represents the product \(8\times\frac{3}{6}\)