Multiplication

==

How to Learn ==
Your life will be a lot easier when you can simply **remember** the multiplication tables.

So ... **train your memory**!

First, use the table above to start putting the answers into your memory.

Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables.

Use it a few times a day for about 5 minutes each, and you will learn your tables.

So, the two main ways for you to learn the multiplication table are:

* Reading over the table
* Exercising using the Math Trainer

But here are some "tips" to help you even more:

## Tip 1: Order Does Not Matter

first or second, the answer is always the same.
*(See Commutative Property.)*

Example: 3×5=15, and 5×3=15

Another Example: 2×9=18, and 9×2=18

In fact half of the table is a mirror image of the other!

So, don't memorize **both** "3×5" and "5×3", just memorize that "a 3 and a 5 make 15" when multiplied.

**This is very important! It nearly cuts the whole job in half.**

## Tip 2: Learn the Tables in "Chunks"

It is too hard to put the whole table into your memory at once. So, learn it in "chunks" ...

A  Start by learning the 5 times table.

B  Then learn up to 9 times 5.

C  Is the same as **B**, except the questions are the other way around. Learn it too.

D   Lastly learn the "6×6 to 9×9" chunk

Then bring it all together by practicing the whole "10 Times Table"

## Some Patterns

There are some patterns which can help you remember:

**2×** is just doubling the number. The same as adding the number to itself.

2×2=4, 2×3=6, 2×4=8, etc.

So the pattern is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

(And once you remember those, you also know 3×2, 4×2, 5×2, etc., right?)

**5×** has a pattern: 5, 10, 15, 20, etc. It ends in either **0** or **5**.

**9×** has a pattern, too: **9**, 1**8**, 2**7**, 3**6**, 4**5**, 5**4**, 6**3**, 7**2**, 8**1**, 9**0**

Now, notice how the "ones" place goes down: 9,8,7,6, ...? And at the same time, the "tens" place goes up: 1,2,3,...? Well, **your hands can help**!

Example: to multiply 9 by 8: hold your 8th finger down, and you can count "7" and "2" ... the answer is **72**

**10×** is maybe the easiest of them all ... just put a zero after it.

10×2=2**0**, 10×3=3**0**, 10×4=4**0**, etc.

## The Hardest Ones

For me the hardest ones are 6×7=42, 6×8=48 and 7×8=56. I often have to say in my mind:

*"six sevens are forty-two", "six eights are forty-eight", "seven eights are fifty-six"*

## What About the 12 Times Table?

Sounds tough, but once you have mastered the 10× table, it is just a few steps away.

* 3×12=36,
* 4×12=48,
* 6×12=72,
* 7×12=84,
* 8×12=96,
* 11×11=121,
* 11×12=132 and
* 12×12=144

## Why Learn The Multiplication Table?

While it is generally more important to know **why** things work, with the tables I recommend pure **memory**, it makes future math work much easier.

Much like walking, you don't want to think what your feet are doing, you want to enjoy the adventure.

## More Help

I also have a longer list of multiplication tips and tricks if you are interested.

You can test yourself using the times tables test.

You can try out Speed Math.

Learn Long Multiplication.

And if you are really good, see if you can beat the high scores at Reaction Math.