Copyright

Ch 1: TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers

About This Chapter

Get a quick refresher on the properties of real numbers and their subsets with this chapter's video lessons and quizzes. Lessons also cover number theory concepts to help you study for the TExMaT Master Mathematics Teacher 8-12 exam.

TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers - Chapter Summary

Review real number properties and number theory basics to get ready for this TExMaT Master Mathematics Teacher certification exam. Video lessons can help you re-examine the following:

  • Types of numbers
  • Prime numbers
  • Composite numbers
  • Graphing rational numbers
  • The commutative property
  • The associative property
  • The multiplication property of zero
  • Greatest common factors
  • Least common multiples
  • Order of operations
  • Prime factorizations

Watch this chapter's short video lessons - skipping ahead or re-playing content as needed - and peruse the transcripts to get a better idea of number theory topics covered on the exam. You can also take the multiple-choice quizzes to prepare yourself for testing.

TExMaT Master Mathematics Teacher 8-12: Properties of Real Numbers Chapter Objectives

The TExMaT Master Mathematics Teacher 8-12 exam is used to award credentials to Texas high school math teachers who want to take on additional responsibilities as mentors. It includes 90 multiple-choice questions in addition to a case study assignment requiring you to develop an essay.

Lessons in this chapter can help you prepare for questions found in the exam's number concepts content domain, which includes around 16% of the test questions and measures your familiarity with number theory concepts in addition to the real number system and the properties of number subsets contained within it.

11 Lessons in Chapter 1: TExMaT Master Mathematics Teacher 8-12: 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.

What Are Prime Numbers? - Definition & Examples

2. What Are Prime Numbers? - Definition & Examples

In this lesson, we'll do a brief review of factors, and then learn how factors make prime numbers unique. You can also test your knowledge with a brief quiz.

What Are Composite Numbers? - Definition & Examples

3. What Are Composite Numbers? - Definition & Examples

In this lesson, you'll learn what composite numbers are and briefly touch on prime numbers. You'll also learn a couple of rules about composite numbers. Then, you can test your new knowledge with a brief quiz.

Graphing Rational Numbers on a Number Line

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

Support