34 terms

Set

Collection of Objects

Elements/Members

Objects in the set

Common ways to Indicate a Set

Verbal Description, Roster Notatin, Set Builder Notation

Empty Set

Set containing no elements

Cardinality of a set

Number of elements in the set

Finite Set

Cardinality of the set is a whole number

Infinite Set

Set that is not finite

Equal sets

Sets that have the same elements

Equivalent Sets

Sets that have the same cardinality

Universal Set

The set of all elements relevant to a given problem or situation

Subset

"A" is a subset of "B" if and only if every element of "A" is also an element of "B"

Proper Subset

"A" is a proper subset of "B" if and only if "A" is a subset of "B" but A does not equal B.

Complement of a Set

The complement of a set is the set of all elements in U that are not in A.

Intersection of Sets

The elements that sets have in common

Union of Sets

All the elements of all the sets unioned

Disjoint sets

When two sets have an empty intersection they are called disjoint

Which word represents intersection

AND

Which word represents union

OR

What are the diagrams called that are used to make visual illustratioons of sets.

Venn diagrams and Euler diagrams

Whole Numbers

Counting numbers and zero

Natural Numbers

Counting numbers

Integers

Whole numbers and their opposites

Rational Numbers

Quotient of integers, a/b, where "b" does not equal zero

Irrational Numbers

Numbers that are not rational. In their decimal form are nonterminating and nonrepeating

Real Numbers

The set of numbers that includes natural numbers, whole numbers, integers, rational numbers and irrational numbers.

Dense Set

A set in which in betwween any two numbers from the set, there is another number from the set.

Absolute Value measures

How far a value is away from zero on the real number line

Commutative Property of Addition

a + b = b + a. Doesnt matter what order you add real numbers, you will still get the same sum

Associative Property of Addition

a + (b + c) = (a + b) + c. Doesn't matter how you group real numbers that you are adding, you will still get the same sum

Commutative Property of Multiplication

(a)(b) = (b)(a). Doesn't matter what order you multiply real numbers, you will still get the same product

Associative Property of Multiplication

(ab)**c = a**(bc). Doesn't matter how you group real numbers being multiplies, you will still get the same product

Distributive Property

a(b + c) = ab + ac

Order of Operations

Grouping Symbols

Exponents

Multiply or Divide from Left to Right

Add or Subtract from Left to Right

Exponents

Multiply or Divide from Left to Right

Add or Subtract from Left to Right

variable

letter to represent the unknown number in algebra