topic badge

6.07 Multiplication by 4

Lesson

Are you ready?

Multiplication looks at equally sized groups. Doubling means multiplying equally sized  groups by  2. Can you solve this problem?

Examples

Example 1

Find 9\times2.

Worked Solution
Create a strategy

Remember 9 \times 2 is the same as 2 \times 9. This can be thought of as 2 groups of 9 stars.

The image shows 2 circles with 9 stars each inside.
Apply the idea

In the above image there are 18 stars altogether.

\displaystyle 9\times2\displaystyle =\displaystyle 18
Idea summary

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

Multiply numbers by 4

4 groups is twice (two times) as many as 2 groups. Let's look at how to multiply numbers by 4.

Loading video...

Examples

Example 2

Find the product of 4\times 4.

Worked Solution
Create a strategy

This can be thought of as 4 groups of 4 squares as shown below.

The image shows 4 rows of 4 squares.
Apply the idea

In the above image there are 16 squares in total.4 \times 4 = 16

Reflect and check

We could also use the Double, Double strategy:

\displaystyle 2\times 4\displaystyle =\displaystyle 8Double 4
\displaystyle 2\times 8\displaystyle =\displaystyle 16Double the answer
Idea summary

To solve questions with 4 times tables, you can use the Double, Double strategy. That means you double the number, then double the answer.

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

What is Mathspace

About Mathspace