College Algebra

natural numbers

numbers that begin with 1 and are used for counting

Whole Numbers

counting numbers including 0

Integers

whole numbers and their opposites

Rational Numbers

numbers that can be written as a fraction with a nonzero denominator

Irrational Numbers

numbers that cannot be written as a fraction and have nonterminating, nonrepeating decimals

Real Numbers

all rational and irrational numbers

A Set

a collection of values

Additive Inverse

two numbers whose sum is 0

Absolute Value

the distance a number is from 0

Reciprocal

Undefined

the result when a nonzero number is divided by 0

Communitive Property

allows numbers to change order when adding or multiplying

Associative Property

allows numbers to change grouping when adding or multiplying

Distributive Property

multiplies that number outside parentheses by every term inside

Additive Identity

adding 0 does not change a number

Multiplicative Identity

multiplying by 1 does not change a number

Additive Inverse

a number plus its opposite equals 0

Multiplicative Inverse

a nonzero number times its reciprocal equals 1

Zero Property of Multiplication

any number multiplied by 0 equals 0