Lesson

Can you identify numbers as odd or even?

Even numbers can be divided by 2 evenly. This means that we can equally share the number and have nothing left over. Odd numbers cannot be divided by 2 evenly; they have a left over of 1.

Is 115 odd or even?

Worked Solution

Idea summary

Even numbers can be divided by 2 evenly. Odd numbers cannot be divided by 2 evenly; they have a left over of 1.

When we add and subtract odd and even numbers, we can work out whether our answer will be odd or even. Let's learn how.

The following questions are all about adding two odd numbers together.

a

What is 5+7?

Worked Solution

b

What is 7+15?

Worked Solution

c

What is 15+5?

Worked Solution

d

Were the answers to the last three questions odd or even?

Worked Solution

e

Every time we add two odd numbers together, the answer is always even.

So, which of the following pairs of numbers will be even when added together?

A

73+85

B

99+86

C

73+99

D

85+86

Worked Solution

The following questions are all about adding two even numbers together.

a

What is 4+6?

Worked Solution

b

What is 6+10?

Worked Solution

c

What is 10+4?

Worked Solution

d

Were the answers to the last three questions odd or even?

Worked Solution

e

Every time we add two even numbers together, the answer is always even.

So, which of the following pairs of numbers will be even when added together?

A

38+24

B

38+22

C

24+71

D

71+22

Worked Solution

Idea summary

Two even numbers added, or subtracted, will equal an even number.

Two odd numbers added, or subtracted, will equal an even number.

Adding, or subtracting, an odd and even number will equal an odd number.

Investigate and use the properties of odd and even numbers