Exam 1 Flashcards
Positive Numbers only
1,2,3…
Natural Numbers
Zero and Positive Numbers
Whole Numbers
Negative numbers, Zero, and Whole Numbers
Integers
Negative Numbers, Zero, Positive Numbers, Fractions and Decimals with pattern
Rational
Decimal that goes on and on without pattern
Irrational
Every Number
Real
Property where parenthesis are grouped in different places.
A+B) + C = A + (B+C
Associative Property
Property where the number on the outside gets multiplied by everything on the inside.
Distributive
Property where anything plus itself is reversible.
A + B = B + A
Commutative
Property where you add zero so it can stay itself.
Identity Addition
Property where you multiply anything by one to stay itself.
Identity Multiplication
Property where anything multiplied by zero equals zero.
Zero Property
Property where any number plus it’s opposite equals zero
Additive Inverse
Property where anything multiplied by its opposite equals 1
Multiplicative Inverse
How can sets be defined?
With a…
Verbal Description
Listing
Set Builder
When a set is either empty or it can have all of its elements listed
Finite
When a set goes on and on without an end
Infinite
When two sets have nothing in common
Disjoint
When you put two set together
AUB
Union
What do two sets have in common
Intersection
Anything that a set is not
Complement
What is in A but is not in B
Difference of a set
When you multiply sets
Cartesian
3 + 2 = 2 + 3
Commutative
3+0=3
Identity Addition
4(56)= (45)6
Associative
4*1=4
Identity Multiplication
3 + (-3) = 0
Inverse Additive
4*0=0
Zero
3 * (1/3) = 1
Inverse Multiplicative
