Topics
6. Multiplication and division
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Australia
Year 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

AC9M3N04

multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

AC9M3A03

recall and demonstrate proficiency with multiplication facts for 3, 4, 5 and 10; extend and apply facts to develop the related division facts

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