### R.3 The Real Number System

1: Classification of Real Numbers - Introducing Vocabulary of all Numbers

This video covers:

*How every number that you can think of can be classified

*How Russian dolls relate to classifying real numbers

*What symbol is used to represent each set of numbers

Vocabulary Words: Notation, Real Numbers, Rational and Irrational Numbers, Integers, Whole Numbers, Natural Numbers

2: Classification of Real Numbers (Part 2) - Example of Labeling Numbers given a list

This video covers:

*Reviews how to classify integers, irrational numbers, rational numbers, and Real numbers; and the symbol to represent each

*Given a list of numbers, how to classify each of them given the categories above

Examples:

3: Classification of Real Numbers (Part 3) - Examples of Identifying Elements and Subsets

This video covers:

*Reviews how to classify Real Numbers, Rational and Irrational Numbers, Integers, Whole Numbers, Natural Numbers; and the symbol to represent each

*The notation for 'element in' and 'subset of'

*Classifying statements as true or false involving elements and subsets

*Given a list of numbers, classify which numbers that fit into each of the groups identified in Video 1

Vocabulary Words: Element, Subset

Examples:

4: Properties of Real Numbers (Part 1) - Commutative, Associative, and Distributive Property

This video covers:

*Commutative Property of Addition and Multiplication

*Associative Property of Addition and Multiplication

*Distributive Property

*Feeding the Dog/Cat/Turtle/etc.

Vocabulary Words: Commutative, Associative, Distributive

Examples:

5: Properties of Real Numbers (Part 2) - Identity and Inverse Property

This video covers:

*Identity Property of Addition and Multiplication

*Inverse Property of Addition and Multiplication

*What happens when a fraction has 0 (zero) in the denominator

*Review of all Properties

Vocabulary Words: Identity, Inverse, Reciprocal

Examples:

6: Evaluating a Variable Expression - Substituting Numbers in for Letters

This video covers:

*Why math/algebra uses letters

Vocabulary Words: Variable, Variable Expression, Substitution

Examples:

Coming soon:

(1) Calculator Video: Storing numbers into letters to check "Evaluating a Variable Expression"