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22 Cards in this Set
 Front
 Back
What are whole numbers?

1,2,3,4 ...


what are digits?

09


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
