Standard+Form

__Standard Form: Key Concepts__
Standard Form is a way of writing really **BIG** numbers or really //Small// numbers

To do this, it combines **multiplying by 10** and **powers**

We use Powers (AKA Indices) to show when I multiply a number by itself several times
 * 3** 2 **= 3 x 3 (3 multiplied by itself twice)**
 * 3** 3 **= 3 x 3 x 3 (3 multiplied by itself three times)**
 * 3** 4 **= 3 x 3 x 3 x3 (3 multiplied by itself four times)**

If I do this with the number 10 I get the following results


 * 10** 1 **= 10 (Ten)**
 * 10** 2 **= 10 x 10 = 100 (One Hundred)**
 * 10** 3 **= 10 x 10 x 10 = 1000 (One Thousand)**
 * 10** 4 **= 10 x 10 x 10 x 10 = 10,000 (Ten Thousand)**
 * 10** 5 **= 10 x 10 x 10 x 10 x 10 = 100,000 (One Hundred Thousand)**
 * 10** 6 **= 10 x 10 x 10 x 10 x 10 x10 = 1,000,000 (One Million)**

It also works for small numbers too


 * 10** -1 **=1/10 = 0.1 (One Tenth)**
 * 10** -2 **= 1/(10 x 10) = 0.01 (One Hundredth)**
 * 10** -3 **= 1/(10 x 10 x 10) = 0.001 (One Thousandth)**
 * 10** -4 **= 1/(10 x 10 x 10 x 10) = 0.0001 (One Ten Thousandth)**
 * 10** -5 **= 1/(10 x 10 x 10 x 10 x 10) = 0.00001 (One Hundred Thousandth)**
 * 10** -6 **= 1/(10 x 10 x 10 x 10 x 10 x10) = 0.000001 (One Millionth)**

We can use this to write any number, no matter how big or small.

For Example, if you were trying to write down the current population of the planet, which is approximately **7,000,000,000** I could rewrite that as **7 x 10** 9 or 7 with 9 zeros after it.

Not a good enough example? Ok... media type="youtube" key="dx_lIv5SkHM" height="315" width="420"

Just how big is the universe? Currently our best estimate is 880000000000000000000000000 Metres across.

Now, any time you wanted to write that number down it would take ages. Or we can just notice that its 88 with 25 zeros after it. Which we could write as 88 times 25 lots of 10 or 88 × 10 25 meters

Next: Standard form notation ->

 109 or 7 with 9 zeros after it