0.1 Sets of Real Numbers Concepts Illustrations Concepts Illustrations Natural Numbers (counting numbers) {1, 2, 3, 4, 5, 6, 7, ...} Prime Numbers (divisible by itself and 1) Whole Numbers (zero + counting numbers) {0, 1, 2, 3, 4, 5, 6,7, ..} Composite Numbers (product of primes) Integers (whole numbers and their opposites) {..., -3, -2, -1, 0, -1, -2, ..} Associative Properties (a + b) + c = a + (b + c) Rational Numbers (can be expressed as decimals - terminating / repeating) Commutative Properties a + b = b + a Irrational Numbers (non-termination & non-repeating decimal representation) Distributive Properties a(b + c) = ab + ac Real Numbers (rational and irrational) Open Intervals (has no endpoints) Even Integers (divisible by 2) Closed Intervals (has two endpoints) Odd Integers (not divisible by 2) {..,-3, -1, 1, 3, 5, 7, ..} Half-open Interval (has one endpoint) If and If The distance, d between any two point a and b on a number line is positive or d = | b - a | Example: given (-3, 0) and (4, 0), d = 7
0.2 Integer Exponents and Scientific Notation	Properties of Exponents:
0.3 Rational Exponents and Radicals : m and n are positive integers	: , So (e.g. and
0.4 Polynomials Monomial: (degree = 6) Binomial: (degree = 2) Trinomial: (degree = 5) The Conjugate of a + b is a - b The degree of monomial (sum of exponents of variables)	Rationalize Numerator / Denominator (a) (Rationalize denominator) (b) (Numerator)
0.5 Factoring Polynomials
0.6 Algebraic Fractions If	If No division by 0