### 8 videos in "Numbers / Properties of Numbers"

## Real Numbers and Subsets

Real Numbers and Subsets

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Part of video series Introduction to Number Systems

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A breakdown of real numbers and the subsets of real numbers.

- Real numbers - The Wikipedia article from the lesson explaining what real numbers are and many facts about them.

- What are the sets and subsets of the real numbers?
- What are the natural numbers, whole numbers, integers, rational numbers, and real numbers, and what is the difference between each set of numbers?
- What are the abbreviations for the sets of numbers?
- How do you make a Venn Diagram for the sets of numbers?
- What are the rational numbers, how many rational numbers are there, and where do they fit in a number line?
- What is an irrational numbers and what are some examples?
- What is a transcendental number?
- What is interval notation and how do you use it to write a range or interval of numbers?
- When do you use brackets and when do you use parentheses when writing interval notation?

This lesson ties the previous two lessons in the series together by explaining the sets and subsets of the real numbers. Each set is shown and explained using a Venn Diagram so you can see clearly which sets are subsets of which other sets. Examples of each type of number are shown as well.