- Education and Science
Times Tables Made Easy
Getting Started with Times Tables
Multiplication tables or times tables as they are sometimes known, are usually the first thing that are learned after the basics of counting, additional and subtraction. As with all maths, the earlier you start, the easier it is, but it is never too late to learn.
The times tables are really useful in everyday life and will make your next stages of learning maths easier. The great news is that the Times Tables are easy to learn, particularly if you employ a few tricks. Read on to find out more.
Have fun - it helps us to learn.
Learning the Times Tables
The full times tables from 1 to 12 might look daunting at first - there are 144 to learn. But don't Panic - we are going to simplify it right down to something far more manageable. Once we have simplified it, we are going to provide you with techniques to make them easier to learn.
The Complete Times Tables
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Simplifying the Times Tables
Great - you are still reading. 144 sums is a lot to learn, so lets make our lives easier and discard the ones that we don't really need to learn.
For starters, I am sure that most of us know the 1 times table - anything you multiply by 1 remains the same. Great, so we don't need to learn those ones.
The 2 times table is quite easy as you simply double the number or if you prefer, just add the number to itself (2 x 5 is the same as 5 + 5).
Similarly, the 10 times table is quite easy, as anything multiplied by 10, just gets a 0 added onto the end. So that does not need to be learned.
Lets watch a quick video which removes the numbers we don't need to learn.
Doing the 6, 7, 8, 9 and 10 times tables on your hands
Using your hands to make things easier
Tricks for the 1 Times Table
Quite simply, anything that you multiply by 1, remains the same. It is that simple.
1 x 5 = 5
1 x 7 = 7
1 x 9 = 9
Tricks for the 2 Times Table
If you are happy doubling the numbers from 1 to 12, then you know your 2 times table. If not, then try adding the number you are multiplying by 2 to itself.
2 x 3 is the same as 3+3.
2 x 6 is the same as 6+6
2 x 9 is the same as 9+9
Tricks for the 3 Times Table
The trick that I used to learn my 3 times table was to double the number (like you do with the 2 times table), and then add the number again.
3 x 5 is the same as double 5, which is 10, with 5 added to it, which makes 15.
3 x 7 is the same as double 7, which is 14, with 7 added to it, which makes 21.
3 x 9 is the same as double 9, which is 18, with 9 added to it, which makes 27.
Tricks for the 4 Times Table
The 4 times table is almost as easy as the 2 times table. If you know your 2 times table, then this should be easy too.
Consider 4 x 5
This could be calculated by working out 2 x 5 and then multiplying the answer by 2! It is really that simple.
Try 4 x 3. That is 2 x 3, which is 6, and then 6 x 2 = 12. So 4 x 3 = 12.
Try 4 x 5. That is 2 x 5, which is 10, and then 10 x 2 = 20. So 4 x 5 - 20.
Tricks for the 5 Times Table
The 5x tables are generally quite easy to learn. Most children can count in fives, so working out the sum is just a case of counting up the fives.
An alternative, is the work out the 10 times table and halving the answer.
Tricks for the 6 Times Table
The method that I like to use, is to work out the answer for the 2 times table instead, and then add it to itself, three times.
6 x 5 is the same as 2 x 5, which is 10, added to itself twice, which is 10 + 10 + 10, which equals 30.
6 x 6 is the same as 2 x 6, which is 12, added to itself twice, which is 12 + 12 + 12, which equals 36.
Tricks for the 7 Times Table
The 7 times table is the hardest but don't fear - here are a couple of tricks.
Firstly, the hardest multiplication is 7 x 8 - I like to remember this as 5 6 7 8 - 56 is 7 x 8
Otherwise, the 7 times table can be derived from the 4 times table plus the 3 times table. For example:
7 x 8 is the same as 4 x 8 = 32 added to 3 x 8 = 24, giving an answer of 56.
Tricks for the 8 Times Table
The 8 times table is no more difficult than the 2 times table and doubling the answer and then doubling again.
8 x 5 can be calculated by working out 2 x 5, which is 10, then doubling, which is 20 and then doubling again, which makes 40.
8 x 6 can be calculated by working out 2 x 6, which is 12, then doubling, which is 24 and then doubling again, which makes 48.
Tricks for the 9 Times Table
The number 9 has many interesting properties that should help us with the multiplication.
Firstly any number that you multiply by 9, will have an answer which if you add the digits together, will give you a total of 9! Lets try it out:
4 x 9 = 36 and adding together the 3 and 6 gives us 9.
5 x 9 = 45 and adding together the 4 and 5 gives us 9.
6 x 9 = 54 and adding together the 5 and 4 gives us 9.
7 x 9 = 63 and adding together the 6 and 3 gives us 9.
So here is the trick. If you multiply a number by 9, the answer will add up to 9.
If the number you are multiplying by 9 is between 2 and 10 then the first digit of the answer will be the original number less one and the second digit will be how many more you need to add to it to make it add up to 9.
Time for an example:
Consider 2 x 9.
The first digit of the answer will be 2-1, which is 1 and the second digit will be 8, so that all the digits add up to 9. This makes 18.
Consider 3 x 9
The first digit of the answer will be 3-1, which is 2 and the second digit will be 7, so that all the digits add up to 9. This makes 27.
Consider 4 x 9
The first digit of the answer will be 4-1, which is 3 and the second digit will be 6, so that all the digits add up to 9. This makes 36.
Another technique is to use your fingers, which is explained on the following video.
Video Tutorial for 9 Times Table on Fingers
The following video shows a method of doing the 9 times tables on your fingers
Tricks for the 10 Times Table
Anything that you multiply by 10 simply has a zero placed at the end. For example:
10 x 5 = 50
10 x 6 = 60
Tricks for the 11 Times Tables
The 11 times table is quite easy for numbers less than 10. Any single digit that you multiply by 11, just has that same digit twice. For example:
11 x 2 = 22
11 x 3 = 33
11 x 4 = 44
For numbers greater than 9, add the digits together and then put that number between the two digits of the multiplier. For example:
11 x 10 can be calculated by adding 1 and 0, which is 1. Then split the multiplier 10 into 1 and 0 and place the sum from the previous calculation in the middle giving 1 1 0.
11 x 11 can be calculated by adding 1 and 1, which is 2. Then split the multiplier 11 into 1 and 1 and place the sum from the previous calculation in the middle giving 1 2 1.
11 x 12 can be calculated by adding 1 and 2, which is 3. Then split the multiplier 12 into 1 and 2 and place the sum from the previous calculation in the middle giving 1 3 2.
Tricks for the 12 Times Table
The 12 times table can be calculated in a number of ways but my preferred one is to multiply by 10 and multiply by 2, and then add the two results,
12 x 3 can be calculated by working out 10 x 3, which is 30 and adding 2 x 3, which is 6. This gives 36.
12 x 4 can be calculated by working out 10 x 4, which is 40 and adding 2 x 4, which is 8. This gives 48.
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