What is a fact family?
Fact families are groups of number sentences that use the same three numbers.
Using any two of those numbers you can use addition or subtraction to find the third.
For example, you can make the following fact family using the numbers 2, 4 and 6:

Activity: What are fact families?
Complete the interactivity to learn more about fact families and then put your knowledge to the test.
Fact families
Fact families are groups of numbers that have a relationship to each other.
For each pair of addition facts, there are also two subtraction facts in the same family.
Here is a fact family using the numbers 3, 4 and 7.

All of these number facts use the equals sign (=).
With addition, it doesn't matter which order you add things, the total is the same.
In this example, the addition facts are:
3 + 4 = 7
4 + 3 = 7
The subtraction facts are:
7 - 4 = 3
7 - 3 = 4
Example 1

What two addition facts could you make with these ten flowers?
✓ The two addition facts are:
7 + 3 = 10
3 + 7 = 10
With addition, it doesn't matter which number you add first, there are still 10 flowers in total.

Example 2
There are 6 football shirts - 5 are red and 1 is yellow.

What are the two subtraction number facts that could be represented by this picture?
✓ You could start with the 6 shirts and take away the 1 yellow shirt. The number fact is:
6 - 1 = 5
You could also start with the 6 shirts and take away the 5 red ones. This number fact would be:
6 - 5 = 1

Example 3
The equals sign (=) means that the left hand side has the same value as the right.

How can you write this number fact in a different way using the same numbers?
✓ You can swap the two parts of the number fact over.
The number fact is still true.
8 has the same value as 3 + 5.
8 = 3 + 5

NEW! Play Karate Cats Maths - the winter update. game
Deck the dojo in the Christmas update and unlock festive outfits for your Karate Cats. Available for a limited time only!

More on Adding and subtracting
Find out more by working through a topic
- count3 of 8

- count4 of 8

- count5 of 8

- count6 of 8
