Question

which model represents the product $9\times\frac{3}{10}$?

Explanation:

Step1: Calculate the product

$9\times\frac{3}{10}=\frac{9\times3}{10}=\frac{27}{10}=2\frac{7}{10}$

Step2: Analyze the models

Each circle is divided into 10 equal parts. The first set of three circles (top - model): two full - shaded circles (representing 2 wholes) and one circle with 7 shaded parts out of 10 (representing $\frac{7}{10}$). The second set (bottom - model) does not represent \(2\frac{7}{10}\) as it has one full - shaded circle and one circle with only 3 shaded parts.

Answer:

The top - model (the set of three circles where two are fully shaded and the third has 7 out of 10 parts shaded) represents the product \(9\times\frac{3}{10}\)