# 3.05 x3

Lesson

## Ideas

Can you write  repeated addition  as a multiplication number sentence?

### Examples

#### Example 1

Write this addition as a multiplication.

2 +2 +2

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 2. We can rewrite this as multiplications: 2+2+2 = 3\times 2

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 multiply numbers by 3.

### Examples

#### Example 2

Find the product of 3\times 6.

Worked Solution
Create a strategy

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

Apply the idea

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

Idea summary

Multiplying by three is the same as tripling. We always multiply equally sized groups.

### Outcomes

#### MA2-6NA

uses mental and informal written strategies for multiplication and division