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Unnamed U.

A C_ B

subset (every element in A is also an element of B

A C B

Proper subset (A is a subset of B but there is at least one element in B but not in A)

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)

A~B

One-to-one correspondence (Every element of A can be paired with one element of B and vice-versa)

A n B

Intersection (Set of elements that are in A and B)

A u B

Union (The set of elements that are either in A or in B or in both)

A u 0=

everything in A

A n 0=

0

Cardinal Numbers

How many

Ordinal Numbers

Order (first, second, third)

Identification Numbers

SSN, Phone #

Babylonian System

1, 10, 60

Mayan System

1, 20, 18x20

Change from base 10 to base _______

Use chart

E4Ttweleve=_____ten

Tx1 + 4x12 + Ex144

Function

when one number goes to one solution

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Not a Function

When one number goes to multiple solutions

Closure Property

When 2 elements are added/multiplied of the set together, you get another element of that set

Commutative Property

a+b=b+a

Associative Property

(a+b)+c=a+(b+c)

Identity Property

0+a=a+0=a

Cartesian Product- I have 3 shirts and 2 pairs of pants. How many different outfits?

3x2=6

Partitive Division

A class of 20 students is to be divided into 4 teams. How many students are in each team?

Measurement Division

A class of 20 students is to be divided into teams of 4. How many teams?

Missing Factor

a/b=c means a=bxc

a=qxb+r

q=quotient (how many groups of b can be made), b=divider, r=remainder

aM x aN =

aM+N

(aM)N=

aMxN

aM x bM=

(axb)M

aM/aN=

aM-N

Order of Operations

Parentheses, Exponent, Multiplication/Division, Addition/Subtraction

divisible by 2

check last digit

divisible by 4

check last 2 digits

divisible by 8

check last 3 digits

divisible by 3 and 9

add all digits

scalene triangle

all sides have different lengths

isoceles triangle

two sides have same length

equilateral triangle

all sides have same length

obtuse triangle

one angle greater than 90

acute triangle

all angles less than 90

right triangle

one right angle

parallelogram

quadrilateral with 2 pairs of parallel sides

rhombus

parallelogram with all sides equal length

trapezoid

quadrilateral with exactly one pair of parallel sides

kite

quadrilateral with 2 adjacent sides equal and 2 other adjacent sides equal

rectangle

parallelogram with 4 right angles

square

rectangle with 4 right angles and equal sides

sum of angles of an n-gon

180(n-2)

Fundamental Theorem of Arithmetic

any composite whole number can be expressed uniquely as a product of primes. (up to the order of primes)

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