Understanding Numbers Alex Smart Goody Twoshus S'Marty Pants

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

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

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

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....

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...)

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

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

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