How do i make a area model of 4.6 and 3

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:

The second statement is the CONVERSE of the first.

Step-by-step explanation:

x ⇒ y > Statement

y ⇒ x > Converse

Say there is a statement as follows:

If it rains then it is a holiday.

The converse of the statement would be:

If it is a holiday then it is raining.

In Mathematics, the converse of statements need not always be true.

For example, the school wouldn't be closed only when it is raining. It could close for many other reasons as well.

Consider the following mathematical example.

Statement: If f is a function, then it is a relation.

Converse:   If f is a relation then it is a function, which need not always be true.

When the converse of a statement is also true we can say it is an if and only if (iff) statement.

Statement: If a - b > 0, then a > b.

Converse: If a > b then a - b > 0.

Here, the converse is also true.

W can write the statement as:

a - b > 0 ⇔ a > b

Hope this helps :)!