Topics
6. Multiplication and division
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AustraliaVIC
Level 3

6.05 Multiplication by 0 or 1

Lesson
Practice
Lesson

Are you ready?

Do you remember how to write a  multiplication number sentence about equally sized groups  ?

Examples

Example 1

Complete the statement below with the missing numbers.

The image shows five clovers with 4 leaves each.

The image shows ⬚ groups of ⬚ leaves.

Worked Solution
Create a strategy

Each clover is a group. Count the number of clovers and the number of leaves on one clover.

Apply the idea

There are 5 clovers, and each has 4 leaves.

The image shows 5 groups of 4 leaves.

Idea summary

Groups have the same size if they each have the same number of items.

Multiplication tables for 0 and 1

Let's look at how to write and solve multiplication number sentences when we have 1 group or 0 groups.

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Examples

Example 2

Evaluate 3 \times 0.

Worked Solution
Create a strategy

We can also think of it as 3 groups of 0 items, so the groups are empty.

The image shows 3 empty circles.
Apply the idea

Since each of the 3 groups are empty, there are 0 items in total.

3 \times 0 = 0

Idea summary

1 group of anything is itself.

0 groups of anything is 0.

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

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