# Shared Flashcard Set

## Details

College Algebra
Properties
14
Mathematics
08/30/2012

Term
 Distributive Property
Definition
 2x + 3x = (2+3)x is a consequence of what property?
Term
 Rational Numbers
Definition
 Numbers that have decimals which either terminate or are nonterminating with a repeating block of digits
Term
 Commutative Properties
Definition
 3 + 5 = 8 5 + 3 = 8 3 + 5 = 5 + 3   2 • 3 = 6 3 • 2 = 6 2 • 3 = 3 • 2   These equations are a consequence of what properties?
Term
 Associative Properties
Definition
 2 + (3 + 4) = 2 + 7 = 9 (2 + 3) + 4 = 5 + 4 = 9 2 + (3 + 4) = (2 + 3) + 4   2 • (3 • 4) = 2 • 12 = 24 (2 • 3) • 4 = 6 • 4 = 24 2 • (3 • 4) = (2 • 3) • 4   The way we add or multiply real numbers will not affect the final results. This are the properties of ____
Term
 Identity Properties   0 = Additive Identity 1 = Multiplicative Identity
Definition
 0 + a = a + 0 = a a • 1 = 1 • a = a
Term
Definition
 a + (-a) = -a + a = 0   For every real number a, there is a real number -a, called the _____
Term
 Multiplicative Inverse Property   Multiplicative Inverse, AKA reciprocal
Definition
 a • 1⁄a = 1⁄a • a = 1 if a = 0   For every non zero real number a, there is a real number 1⁄a, called the ______, AKA _______
Term
 Multiplication by Zero
Definition
 a • 0 = 0
Term
 Division Properties
Definition
 0⁄a = 0     a⁄a = 1 if a =/= 0
Term
 Rules of Signs
Definition
 a(-b) = -(ab)   -(-a) = a   (-a)b = -(ab)   (-a)(-b) = ab                            a⁄-b = -a⁄b = - a⁄b   -a⁄-b = a⁄b
Term
 Intersection of sets- ∩   a ∩ b = {1, 4, 6}   a = {1, 3, 4, 5, 6,}   b = {1, 2, 4, 6,
Definition
 The set consisting of elements belonging to both a and b   a = {1, 3, 4, 5, 6,}   b = {1, 2, 4, 6,
Term
 Union- a set of elements belonging to sets a, b, or both   a U b = {1, 2, 3, 4, 5, 6}   a = {1, 3, 4, 5, 6,}   b = {1, 2, 4, 6,
Definition
 a set of elements belonging to sets a, b, or both       a = {1, 3, 4, 5, 6,}       b = {1, 2, 4, 6,
Term
 Ā All elements in the Universal Set not appearing in Set a
Definition
 Complement of a set
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