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