MULTIPLICATION , DIVISION ARE........

                                  MULTIPLICATION                  

Tip 1: Order Does Not Matter

When you multiply two numbers, it does not matter which is first or second, the answer is always the same.

Example: 3×5=15, and 5×3=15

Another Example: 2×9=18, and 9×2=18

In fact, it is like half of the table is a mirror image of the other! So, don't memorise both "3×5" and "5×3", just memorise that "a 3 and a 5 make 15" when multiplied. This is very important! It nearly cuts the whole job in half.

In your mind you should think of 3 and 5 "together" making 15. so you should be thinking something like this:

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"

And you will know your 10 Times Table!

(We look at the 12x table below)

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 always end in either a 0 or a 5.
10× is maybe the easiest of them all ... just put a zero after it

10×2=20, 10×3=30, 10×4=40, etc.

9× has a pattern, too: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Now, notice how the "units" place goes down: 9,8,7,6, ...? And at the same time, the "tens" place goes up: 1,2,3,...?

You can use this pattern to prompt your memory this way: the tens place will be 1 less than what you are multiplying by!

Example: 9×7 ... go 1 less than 7, so the tens place is 6, and then remember 63

What About the 12 Times Table?

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

	Firstly, 11× is mostly easy: from 11×2 to 11×9 you just put the two digits together. 11×2=22, 11×3=33, ..., 11×9=99.
	And of course 2×, 5× and 10× just follow their simple rules you know already, so it just leaves these to remember: 3×12=36, 4×12=48, 6×12=72, 7×12=84, 8×12=96, 9×12=108
	And the "Big 3": 11×11=121, 11×12=132 and 12×12=144                                    Division It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? 12 Chocolates 12 Chocolates Divided by 3 Answer: 12 divided by 3 is 4: they get 4 each. Symbols ÷ / We use the ÷ symbol, or sometimes the / symbol to mean divide: 12 ÷ 3 = 4 12 / 3 = 4 I will use both symbols here so you get used to it. Opposite of Multiplying Division is the opposite of multiplying. If you know a multiplication fact you can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also 15 / 3 = 5. Why? Well it is easy to understand if you think of the numbers in rows and columns like in this illustration: Multiplication... ...Division 3 groups of 5 make 15... so 15 divided by 3 is 5 and also: 5 groups of 3 make 15... so 15 divided by 5 is 3. So there are four related facts: 3 × 5 = 15 5 × 3 = 15 15 / 3 = 5 15 / 5 = 3 Knowing your Multiplication Tables can help you with division! Example: What is 56 ÷ 7 ? Searching around the multiplication table you find that 56 is 7 × 8, so 56 divided by 7 must be 8. Answer: 56 ÷ 7 = 8. Names There are special names for each number in a division: dividend ÷ divisor = quotient Example: in 12 ÷ 3 = 4: 12 is the dividend 3 is the divisor 4 is the quotient But Sometimes It Does Not Work Perfectly! Sometimes you cannot divide things up evenly ... there may be something left over. Example: There are 7 cookies, and 2 people want to share them equally. But 7 cookies cannot be divided exactly into 2 groups, each person gets 3 cookies, but there will be 1 left over: Download Now