Area model is one of a simple step to understand the given situation. So to make it simple, we need to decompose the number.

given number = 4.6 and 3

First we need to get the whole number and start multiplying:

Whole number of 4.6 => 4

whole number of 3 => 3

Now, let’s start multiplying the whole number

=> 4 x 3

=> 12

Then let’s multiply the remaining decimal:

=>.6 x 3

=> 1.8

Then add

=> 12 + 1.8

= 13.8

we know that

The **area mode**l for multiplication is a pictorial way of representing

multiplication. In the area model, the length and width of a rectangle

represent factors, and the area of the rectangle represents their product

So

in this problem

the factors are

\( length 4.6 \\ wide 3 \)

decompose the number \( 4.6 \)

\( 4.6=(4+0.6) \)

\( Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8 \)

see the attached figure to better understand the problem

therefore

**the answer is**

**the product of \( 4.6 \) and \( 3 \) is equal to \( 13.8 \)**