A number without fractions or integers
Ex. 0, 1, 2, 3 , 4.........

Finite: An empty set or a set that ends
Infinite: A set that does not end

Addition - Sum
Subtraction - Difference
Multiplication - Product
Division - Quotient

Prime: Has exactly two different factors
Composite: Has more than two factors

Top - Numerator
Bottom - Denominator

Direct reasoning: a direct logical link "if this then that"
Indirect reasoning: finding the wrong answers to find the right answer

1. List
2. Verbal Description
3. Set - Builder Notation

1. Less Than
2. Greater Than
3. Greater Than or Equal to
4. Less Than or Equal to

1. Set Intersection Method
2. Prime Factorization Method

1. Region Model
2. Set Model
3. Fraction Strips
4. Number Line

1. Understanding the Process
2. Devise a Plan
3. Carry out the Plan
4. Look Back

1. Subset
2. Proper subset
3. Complement
4. Element

1. Take-Away Approach
2. The Missing Addend Approach
3. Comparison Approach

1. a number is divisible by 2 if it's one digit is 0, 2, 4, 6 or 8
2. a number is divisible by 5 if it's one digit is 0 or 5
3. a number is divisible by 10 if it's one digit is 0

First, find out how many times the numerator goes into the denominator and that number is the front of your mixed fraction. Then the remainder goes on the numerator of the fraction and the denominator remains the same
Ex: 12/5 = 2 2/5

1. Guess and test
2. Draw a picture
3. Use a variable
4. Algebra

⋃ - Union which contains the elements from A OR B
⋂ - Intersection which contains elements from A AND B

1. Closure Property
2. Commutative Property: a + b = b + a
3. Associative Property: (a + b) + c = a + (b + c)
4. Identity: a + 0 = a = 0 + a

1. Subtraction Method
2. Euclidean Algorithm

(ad + bc)/bd

The process of multiplying a number by 1 to change the way it looks but not what it is worth

1. Cardinal Number - "I have 13 pairs of shoes"
2. Ordinal Number - " I was 15th in line at the store"
3. Identification - "My basketball number was 6"

1. Closure Property
2. Commutative Property: ab = ba
3. Associative Property: (ab)c = a(bc)
4. Identity : a ⋅ 1 = a = 1 ⋅ a
5. Distributive Property Over Addition: a(b + c) = ab + ac
6. Multiplication by Zero: a ⋅ 0 = 0 = 0 ⋅ a
7. Distributaive Property Over Subtraction: a(b - c)= ab - ac

A number is divisible by 11 if 11 divides the difference of the sum of the digits whose place values are odd powers and the sum of the digits whose place values are even powers of 10.
so, first, compute the sums of the two different sets of digits, then subtract the smaller from the larger sum

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