Ch 1: GACE Math: Properties of Real Numbers

About This Chapter

We can refresh your memory on properties of real numbers. The video lessons and self-assessment quizzes in this chapter are designed to get you ready for related questions you'll see on the GACE Math test.

GACE Math: Properties of Real Numbers - Chapter Summary

Take full advantage of the lessons in this chapter that effectively review real number properties to prepare you for the GACE Math test. The videos cover the following topics to help you with the questions on the exam:

  • Types of numbers
  • Prime and composite numbers
  • Graphing rational numbers
  • The commutative and associative properties
  • The multiplication property of zero
  • Finding the greatest common factor and the least common factor
  • Order of operations in math
  • Prime factorization of a number

Self-assessment quizzes in each lesson allow you to check your comprehension of the material covered and give you a sample of the types of questions you'll see on the actual exam. Our goal is to furnish you with the strategies you need to remember each property and its application, and the lessons are designed to make this a fun process.

9 Lessons in Chapter 1: GACE Math: Properties of Real Numbers
Test your knowledge with a 30-question chapter practice test
What are the Different Types of Numbers?

1. What are the Different Types of Numbers?

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

Graphing Rational Numbers on a Number Line

2. Graphing Rational Numbers on a Number Line

Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.

The Commutative Property: Definition and Examples

3. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

The Associative Property: Definition and Examples

4. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

The Multiplication Property of Zero: Definition & Examples

5. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

How to Find the Greatest Common Factor

6. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

7. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

What Is The Order of Operations in Math? - Definition & Examples

8. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

How to Find the Prime Factorization of a Number

9. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Mathematics (522): Practice & Study Guide course

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