How do i make a area model of 4.6 and 3

Answer:

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 model 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

l e n g t h  4.6  w i d e  3

decompose the number  

4.6

4.6 = ( 4 + 0.6 )  A r e a  o f  r e c t an g l e  = A r e a  r e ct a n g l e  1 +  A r e a  re c t a n g l e 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

Step-by-step explanation: