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22 Cards in this Set

  • Front
  • Back
What are whole numbers?
1,2,3,4 ...
what are digits?
what are natural #s?
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

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
additive invers of x=(-x)

multiplicitive inverse of x=(1/x)
a set that obeys all axioms
where values of variables come from

assumed to be the set of real #s unless otherwise specified
algebraic expressions that involve only the operations of addition, mult. and sub. on variables
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