This activity is about multiplying by 9.
There are lots of patterns and tricks for the 9 times table.
Let's look at the nine times table below:
Pattern 1:
From 2 × 9 onwards, the tens digit counts up and the ones digit counts down. For 12 × 9 we have 10 tens, which is 100.
Pattern 2:
Each product of the nine times table has an eventual digit sum of 9. This means that we can check if our answer is likely to be correct.
For example:
9 × 9 = 81 and 8 + 1 = 9
11 × 9 = 99 and 9 + 9 = 18 then 1 + 8 = 9.
Pattern 3:
An easy way to multiply by 9 is to multiply by 10 and then count back one lot.
For example: 5 × 9
Step 1: 5 × 10 = 50
Step 2: 50 - 5 = 45
5 × 9 = 45
Let's try an example question together!
Example
A cookie has 9 chocolate chips.
How many chocolate chips do 6 cookies have?
What is 9 times 6?
Answer
Using our pattern, we know that nine lots of six is fifty-four.
9 × 6 = 54
Now try the questions for yourself.