# 6.08 Multiplication by 3

Lesson

## Ideas

Can you write  repeated addition  as a multiplication number sentence?

### Examples

#### Example 1

Write this addition as a multiplication.

10 +10 +10

Worked Solution
Create a strategy

We can rewrite the addition as a multiplication using: \text{Number of groups}\times\text{Amount in each group}.

Apply the idea

We have 3 groups of 10. We can rewrite this as multiplication: 10+10+10 = 3\times 10

Idea summary

If we are adding groups of the same size, we can also write it as a multiplication:

\text{Number of groups}\times\text{Amount in each group}

## Multiply numbers by 3

Let's look at how to triple or multiply numbers by 3.

### Examples

#### Example 2

Find the product of 6\times 3.

Worked Solution
Create a strategy

We can think of 6 \times 3 as 6 groups of 3. The image shows 6 groups of 3 squares:

Apply the idea

There are 18 squares in the above image.6 \times 3 = 18

Idea summary

Multiplying by three is the same as tripling and can be thought of as the total of three equally sized groups.

### Outcomes

#### VCMNA134

Recall multiplication facts of two, three, five and ten and related division facts

#### VCMNA135

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies