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Session  Materials:

Number and Operations Session 2: Number Sets, Infinity, and Zero

In Session 1, you began to examine the structure of the real number system. You explored some of the elements, operations, and laws that governed this system. You then looked at the number line and discussed the concept of density. In this session, you will continue your exploration of the number sets that make up the real number system and look more closely at the concept of infinity and the importance of zero.

In This Session:

Part A:

Number Sets

Part B:

The Size of Infinity

Part C:

Examining Zero



Learning Objectives

In this session, you will do the following:


Analyze the number line and the relationships among the different sets of numbers in the real number system


Understand different sizes of infinity


Understand the unique qualities of zero


Understand the behavior of a positional number system


Understand the behavior of zero in multiplication and division


Explore infinity and zero in the context of a graph of an equation

video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


Previously Introduced:

New in This Session:


algebraic numbers
complex numbers
counting numbers
irrational numbers
pure imaginary numbers
rational numbers
real numbers
transcendental numbers
whole numbers

countably infinite set
infinite set
uncountably infinite set

Next > Part A: Number Sets

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