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Numbers and Operations

-Number Systems:

Whole - [0,1,2,3,4,5,6 ....]

Natural - [1,2,3,4,5,6 ....]

Integers - [..., -2,-1,0,1,2 ...]

Rational - [any fraction not containing a square root]

Irrational - [any non-solvable square root]

Real - Combination of Rational and Irrational Systems

-Negative Numbers:

Addition  -  Simple 4-5 problem

4+(-5)=-1

Subtraction - Convert to 5+5

5-(-5)=10

Multiplication - Two Negatives make a positive

(-4)*(-3)=12

Division - Negatives cancel out

(-4)/(-2)=2

-Field Properties:

A+B=Real Number  - Closure Property of Addition - a real number + another real number will equal a real number

A+(B+C)=(A+B)+C  - Associative Property of Addition

A+B=B+A - Commutative Property of Addition

A+0=A - Additive Identity Property

A+(-A)=0 - Additive Inverse Property

-Simplify Expressions - just add or subtract variables and numbers to simplify

2x+4y-7y+X-3+7

3X-3y+4

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