34 terms

# Math 097 Chapter 1 Study Cards

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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
variable
letter to represent the unknown number in algebra