1. Understanding Numbers
Alex Smart
Goody Twoshus
S'Marty Pants

2. Numbers fall into two categories
Real Numbers
Rational numbers
Natural numbers
Whole numbers
Integers
Irrational numbers
Imaginary
The letter "i" represents imaginary numbers
square roots of negative numbers
even roots of negative numbers

3. Real Numbers are made of two types of numbers
Rational Numbers
can be expressed as a fraction
Can be non-terminating
Does repeat decimal numbers
Irrational Numbers
Cannot be expressed as a fraction
Non-terminating, non-repeating decimal

4. Examples of rational and irrational numbers
1/2    1/3    1/2345  4
perfect square roots
perfect cube roots
perfect any roots 
Irrational numbers
The most famous is pi
Any non-perfect square root
Any non-perfect any root

5. Natural numbers
What is taught the first time you count? 1, 2, 3, 4, 5, 6...
Also referred to as counting numbers
Start at 1 and go to forever or infinity....

6. Whole Numbers Whole numbers are natural numbers and zero....
Zero (0) looks like a hole.....(w)hole numbers....
Whole numbers depict quantities in wholes....no wholes (0) or many wholes....(1, 2, 3, 4...)

7. Integers You have 3 whole loaves of breads.....
What happens if you destroy 5 whole loaves of breads of your neighbor?
You give your 3 and now you owe 2 to your neighbor
Integer numbers are used to show what you owe
Instead of owing 2 loaves, you have -2 loaves.....
Integers are mirror images of whole numbers....like opposites

8. Rational Numbers
What about if you have 3 loaves and the fourth loaf is split with your brother?
You have more than 3 and less than 4 you have 3 and a half.....
The 3 and a half is a rational number.....
Rational numbers are natural numbers, whole numbers, integers and the parts between those numbers
Represented by deciamals and fractions
Decimals that repeat are rational also

9. Irrational Numbers AKA crazy numbers....hence irrational number
These numbers cannot be written as a fraction...the decimal number goes on forever, never repeating itself