# The relationship of multiplication and division

### The Relation between Multiplication and Division - Elementary Math

An interactive math lesson teaching the inverse realtionship between multiplication and division. Did you know that you use multiplication and division when you are sharing food, such as cookies? In this lesson, you will learn about how. Relationship of Multiplication and Division: Learn. There is an inverse relationship between multiplication and division just like there was between addition and.

Well, whatever blank is, whatever blank is, if you multiply it by five, if you multiply by five, you should get You should get So one way of thinking about it, you could say "what times five is 50?

Hopefully you see the relationship here. If 50 divided by five is 10, then 10 times five is And you could do it the other way around. What is 50 divided by 10 going to be?

## Division and Multiplication Relationship

How do I know that? Well, five times 10, five times 10, five times 10, is equal to Is equal to So let's keep thinking about this.

**Relationship between multiplication and division and basic intro to division**

If someone walked up to you in the street again, and said blank, blank, divided by, divided by two, blank divided by two is equal to, is equal to nine. How would you figure out what blank is? Something divided by two is equal to nine.

- Relating division to multiplication
- The Connection Between Division and Multiplication

Well, one way to think about it, and if we just follow here, if you said 50 divided by five is 10, you could say 10 times five is 50, so right over here we could say well, nine times two, nine times two, must be equal to blank.

When you divide to find the number of objects in each group, the division is called fair sharing or partitioning. A farmer is filling baskets of apples.

The farmer has 24 apples and 4 baskets. If she divides them equally, how many apples will she put in each basket? When you divide to find the number of groups, the division is called measuring or repeated subtraction. It is easy to see that you can keep subtracting 4 from 24 until you reach zero.

### Inverse Relationship between Multiplication and Division

Each 4 you subtract is a group or basket. A farmer has 24 apples. How many baskets of 4 can she fill?

Manipulatives and visual aids are important when teaching multiplication and division. Students have used arrays to illustrate the multiplication process. Arrays can also illustrate division.

### Inverse Relationship of Multiplication and Division

Since division is the inverse, or opposite, of multiplication, you can use arrays to help students understand how multiplication and division are related. If in multiplication we find the product of two factors, in division we find the missing factor if the other factor and the product are known. In the multiplication model below, you multiply to find the number of counters in all.

In the division model you divide to find the number of counters in each group.