Question

show that 2·6 = 12 using each of the models in parts (a) through (d) below. c. area choose the correct answer below. click here to view grid a. click here to view grid c. click here to view grid d. click here to view grid b.

Explanation:

To solve part (c) (Area model) for showing \(2 \cdot 6 = 12\):

The area model for multiplication represents \(a \cdot b\) as the area of a rectangle with length \(a\) and width \(b\). For \(2 \cdot 6\), we need a rectangle with 2 rows and 6 columns (or 6 rows and 2 columns).

Looking at the grids:

• Grid B (from the options) likely has 2 rows and 6 columns (or vice - versa) of unit squares. When we count the number of unit squares in a rectangle with 2 rows and 6 columns, we calculate the area as \(2\times6\). The number of unit squares is \(2\times6 = 12\), which matches the product. So the correct grid to view is grid b.

Answer:

Click here to view grid b.