# 3.12 Multiples

Lesson

## Ideas

Remember how we found that multiplication is the same as  repeated addition?

### Examples

#### Example 1

Write this addition as a multiplication: 3+3+3+3+3+3

Worked Solution
Create a strategy

We can rewrite this as a multiplication in the form: \text{Number of groups}\times\text{amount in each group}

Apply the idea

We have 6 groups of 3 so we can rewrite this as:3+3+3+3+3+3=6\times 3

Idea summary

We can rewrite repeated addition as a multiplication in the form: \text{Number of groups}\times\text{amount in each group}

## Multiples

We're going to think about the relationship between repeated addition and the times tables, using a number line to help us understand multiples.

### Exploration

Drag the sliders to find the first 12 multiples of any numbers between 1 and 12.

We can use our times tables to find multiples of a number. For example, the 6th multiple of 5 is 6\times 5=30.

### Examples

#### Example 2

Write down the 7th multiple of 3.

Worked Solution
Create a strategy

Multiply the numbers together.

Apply the idea

The 7th multiple of 3 can be written as:

Idea summary
• A multiple is the result of a number being multiplied by an integer.

• A common multiple is a multiple of more than one number.

• The lowest common multiple is the first multiple that is common to two numbers.

### Outcomes

#### MA3-4NA

orders, reads and represents integers of any size and describes properties of whole numbers