Real Numbers and Subsets
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Lesson Summary:
This lesson provides a comprehensive overview of real numbers and their subsets. The instructor begins by discussing the different number systems and operations, and then moves on to explain rational and irrational numbers. The use of Venn diagrams is employed to showcase how the natural numbers, integers, and rational numbers fit into the larger set of real numbers. The lesson concludes with an explanation of how to represent sets and subsets of real numbers using interval notation.
Lesson Description:
A breakdown of real numbers and the subsets of real numbers.
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Additional Resources:
- Real numbers - The Wikipedia article from the lesson explaining what real numbers are and many facts about them.
Questions answered by this video:
- 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?
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Staff Review
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.
