# Ch 1: Real Numbers: Types and Properties

Watch video lessons and learn about the different types of numbers and their properties. Complete the quizzes that follow each lesson to measure your learning.

## Real Numbers: Types and Properties - Chapter Summary and Learning Objectives

The lessons in this chapter explore many types of numbers, including real, whole and natural numbers. Several lessons look at rational numbers and how to graph them and convert them from fractions to decimals. You'll get information on how to utilize the commutative and associative properties and work out the absolute value of a real number. By the end of this chapter, you should be familiar with:

• Showing inequalities between numbers
• Find the absolute value of a real number
• The multiplication property of zero
• Pythagorean triples

Video Objective
What Are the Different Types of Numbers? In this lesson, you'll learn about the various types of numbers, such as real, whole, natural, rational and irrational.
Graphing Rational Numbers on a Number Line This lesson explains how to use a number line to graph rational numbers.
Notation for Rational Numbers, Fractions and Decimals Here, we'll examine how to change rational numbers from fractional to decimal notation. You'll be given some examples to help you understand.
The Order of Real Numbers: Inequalities In this lesson, we'll look at inequalities, including how to use symbols to indicate which number is greater. You'll learn to determine which inequalities have the same meaning.
Finding the Absolute Value of a Real Number You'll learn how to determine a real number's absolute value.
The Commutative Property: Definition and Examples This lesson shows you what the commutative property is and how it can be useful.
The Associative Property: Definition and Examples Here, you'll get information on associating expressions through the use of this property.
The Multiplication Property of Zero: Definition and Examples We'll explore the rules regarding multiplying by zero.
Rationalize the Denominator You'll learn to simplify an expression by removing a radical symbol from the denominator.
Algebraic Numbers and Transcendental Numbers This lesson explains what these terms mean and gives well-known examples.
Pythagorean Triples Here, we'll learn to identify Pythagorean triples.

10 Lessons in Chapter 1: Real Numbers: Types and Properties
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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