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# Multiplication Tables - Argh! I Can't Learn Them!

How many times have your thought, "Aarrgghhh! Multiplication tables, I just can't learn them."

In reality there are only 9 facts you have to learn. They are 7 *8; 7*9; 7*12; 8*9; 8*12; 11*11; 11*12; 12*12.

How that is possible? Well, read on to find out. There is a color coded multiplication table at the bottom and the colors I refer to match up with the table.

You know that anything times 0 equals 0 - 0*1=0, 0*2=0, etc. (red on chart)

You know that anything times 1 equals that number - 1*1 = 1, 1*2 = 2, etc. (dark blue on chart)

You know that anything times 2 equals double that number - 2*1= 2, 2*2=4, etc. (purple on chart)

If you know that 2 times a number is double that number then you know that 4 times any number is double 2 times that number - 2*2=4 so 4*2=8 or 4 doubled. (brown on chart)

You know that to find 5 times any number you count by 5s - 5, 10, 15, 20, etc. (dark green on chart)

You know that 10 times any number is that number with a zero added to it - 1*10=10 or 1 with a zero, 2*10=20 or 2 with a zero, etc. (light neon green on chart)

You know that to get 3 times any number you count by 3s - 3, 6, 9, 12, etc. (light neon blue on chart)

If you know what 3 times a number is you double that number for 6 times that number - 3*2=6 so 6*2=12 or 6 doubled. (gray on chart)

You know that 11 times a number is double the number (until you get to 11*11 and 11*12) - 11*2=22, 11*3=33, etc. (yellow on chart)

So that leaves the nine facts I listed above that need to be learned. (black on chart)

Also, the commutative property of mathematics gives you the rest of the facts - 2*3=6 so 3*2=6, 4*5=20 so 5*4=20. (pale blue on chart)

 X 0 1 2 3 4 5 6 7 8 9 10 11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 5 6 7 8 9 10 11 12 2 0 2 4 6 8 10 12 14 16 18 20 22 24 3 0 3 6 9 12 15 18 21 24 27 30 33 36 4 0 4 8 12 16 20 24 28 32 36 40 44 48 5 0 5 10 15 20 25 30 35 40 45 50 55 60 6 0 6 12 18 24 30 36 42 48 54 60 66 72 7 0 7 14 21 28 35 42 49 56 63 70 77 84 8 0 8 16 24 32 40 48 56 64 72 80 88 96 9 0 9 18 27 36 45 54 63 72 81 90 99 108 10 0 10 20 30 40 50 60 70 80 90 100 110 120 11 0 11 22 33 44 55 66 77 88 99 110 121 132 12 0 12 24 36 48 60 72 84 96 108 120 132 144

It sounds confusing but really isn't. To make it easier to understand, make yourself a multiplication chart for the facts 0 to 12 and color code like each step above. It should help you understand a little better. Multiplication facts really aren't that difficult when you break them down.

Come back soon for more tips and tricks.