topic badge

PRACTICE: Multiplication


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  .


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.



uses mental and informal written strategies for multiplication and division

What is Mathspace

About Mathspace