Use Multiplication and Division Facts to Solve Related Problems Using Larger Numbers

In this activity, we will be applying the connection between multiplication and division facts to work with larger numbers.

 

From a simple multiplication fact, you can then make facts with larger numbers.

 

We know that

10 × 4 = 40

Forty contains ten lots of four or four lots of ten.

 

From this multiplication fact, we know the following:

 

400 ÷ 10 = 40 (this is because 400 is 10 times larger than 40)

100 × 4 = 400 (this is because 100 is ten times larger than 10)

 

We can see that the multiplication fact helps us use place value to work with larger numbers. 

 

 

Let's try an example question together.

 

Example

3 × 5 = 15

 

Complete the division facts.

150 ÷ 5 = ?

50 × 3 = ?

 

Answers   

To complete the division facts, we use place value to decide how large to make numbers.

 

150 is ten times larger than 15, so our answer will also be ten times larger.

150 ÷ 5 = 30 

 

50 is ten times larger than 5, so our answer will also be ten times larger.

50 × 3 = 150

 

 

Now it's your turn to try some questions like this.