Question

which model represents the product $4\times\frac{1}{4}$?

Explanation:

Step1: Calculate the product

$$4\times\frac{1}{4}=\frac{4}{1}\times\frac{1}{4}=1$$

Step2: Analyze the models

The first set of two circles: the first circle has 3 out of 4 parts shaded and the second has 1 out of 4 parts shaded. Total shaded parts \(3 + 1=4\) out of \(4 + 4 = 8\) parts (not relevant as we need a total of 1 whole). The single - shaded circle (the second model) is fully shaded (4 out of 4 parts), which represents 1.

Answer:

The single - fully shaded circle (the second model in the lower part of the image) represents \(4\times\frac{1}{4}\) as \(4\times\frac{1}{4}=1\) and a fully - shaded circle (divided into 4 equal parts with all 4 parts shaded) is equivalent to 1 whole.