Topics
6. Multiplication strategies
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AustraliaNSW
Stage 2

PRACTICE: Multiplication

Lesson
Practice
Lesson

Practice multiplication

Before you practice the times tables from 0 to 10, take some time to review the  2 and 4 times tables  , as well as the  5 and 10 times tables  . Remember we can use strategies we've learnt in some of our earlier times tables, including:

  • double (\times \,2) and double, double (\times \,4)

  • halving the 10 times tables to work out (\times \,5)

We also looked at how to solve the  8 times tables  ,  3 times tables  ,  6 times tables  ,  7 times tables  and  9 times tables  .

Examples

Example 1

Find the value of 8 \times 3.

Worked Solution
Create a strategy

This can be thought of as 8 groups of 3 squares, as represented in the image below.

The image shows eight rows of three squares.
Apply the idea

There are 24 squares in the above image.8 \times 3 = 24

Reflect and check

Or we can use the double, double, double strategy on 3 to get:

\displaystyle 3 \times 2\displaystyle =\displaystyle 6Double 3
\displaystyle 6 \times 2\displaystyle =\displaystyle 12Double the answer
\displaystyle 12 \times 2\displaystyle =\displaystyle 24Double the answer again

Which means: 8 \times 3 = 24

Example 2

Find the product of 3\times 5.

Worked Solution
Create a strategy

We can think of 3 \times 5 as 3 groups of 5. The image shows 3 groups of 5 squares:

The image shows 3 rows of 5 squares.
Apply the idea

There are 15 squares in the above image.3 \times 5 = 15

Reflect and check

We can also multiply 3 by 10 then halve the answer.

\displaystyle 3\times 10\displaystyle =\displaystyle 30Multiply by 10
\displaystyle 3\times 5\displaystyle =\displaystyle 15Halve 30

Example 3

Find the value of 6\times10.

Worked Solution
Create a strategy

We can think of 6\times 10 as 6 groups of 10 just like in the image below that has 6 groups of 10 squares:

The image shows 6 rows of 10 squares.
Apply the idea

The above image has 60 squares in total.

6 \times 10 = 60

Reflect and check

A short cut when multiplying a whole number by 10 is to just add a zero to the end of the number.

\displaystyle 6\times 10\displaystyle =\displaystyle 60Add a zero
Idea summary

Multiplication looks at equally sized groups. You can use different strategies to work them out.

Outcomes

MA2-6NA

uses mental and informal written strategies for multiplication and division

MA2-8NA

generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

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