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### 22 Cards in this Set

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 What are whole numbers? 1,2,3,4 ... what are digits? 0-9 what are natural #s? 1,2,3,4... what are intigers? whole numbers andt heir opposites what is a Rational #? a number taht can be expressed as a simple fraction (no decimals or radicals in fraction), repeating decimals and terminating decimals what are irrational numbers? decimals that do not end or repeat (like pie) and cannot be expressed as a ratio of two integers what are transcendental #s? a # that cannot be expressed exactly by performing a number of algebraic operations on integers (such as pie) what are real numbers real numbers, rational numbers, transcendental numbers what are imaginary #s? square roots of negative numbers what is the complex# system real numbers and imaginary numbers closure axiom the set of all real numbers is closed under + and x. if X and Y are real numbers: X+Y and (XxY) = a real # (ur answer is a number of ur original set) Communitativity Axiom X+Y=Y+X X*Y=Y*X Associativity Axiom (x+y)+z = x+(y+z) (xy)*z = x*(yz) Distributive Axiom x(y+z) = xy+xz Identity Elements Additive element = 0 Multiplicitive element = 1 Inverses additive invers of x=(-x) multiplicitive inverse of x=(1/x) Field a set that obeys all axioms Domain where values of variables come from assumed to be the set of real #s unless otherwise specified polynomials algebraic expressions that involve only the operations of addition, mult. and sub. on variables terms in an expression are the parts of the expression taht are connected by addition or subtraction Extraneous Roots when u transform an equasion you end upp with a solution that does not satisfy the original equasion Irreversible steps x and/or ÷ both sides an equasion by something other than 0 can serult in extra solution or loss of solution