Ch 1: NMTA Math: Properties of Real Numbers

About This Chapter

Our short video lessons and self-assessment quizzes make the process of studying real number concepts quick and easy as you prepare for the NMTA Math teacher certification exam.

NMTA Math: Properties of Real Numbers - Chapter Summary

Use the lessons in this chapter to review real number properties as you prepare for the NMTA Math exam. Upon completion of this chapter, you will be able to:

  • List and define the types real numbers and give examples
  • Identify composite and prime numbers
  • Explain and implement the commutative and associative properties and the multiplication property of zero
  • Find the greatest common factor, least common multiple and prime factorization
  • Outline the mathematical order of operations

Our short video lessons help you cover material quickly, and videos tags let you skip directly to a topic. You can also review the lesson transcripts that feature important terminology, definitions and examples. As you complete each of the lessons, take the self-assessment quiz to confirm your understanding of the principles as you prepare for the NMTA Math exam.

Objectives of the NMTA Math: Properties of Real Numbers Chapter

The NMTA Math certification exam assesses your knowledge of math concepts that include numbers and operations, algebra, functions, measurement, geometry, trigonometry, calculus, statistics, probability and discrete math. The topics covered in this Properties of Real Numbers chapter are part of the Mathematical Processes and Number Sense domain, which equates to approximately 19% of the NES Mathematics test (about 26 questions). To become familiar with the testing format and confirm your understanding of the material, complete the self-assessment quizzes throughout the chapter.

The exam is computer-based and comprised of approximately 150 multiple-choice questions. It must be completed within four hours and fifteen minutes. An on-screen scientific calculator, a formulas page and on-screen reference materials are available for your use while testing.

9 Lessons in Chapter 1: NMTA 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.
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 NMTA Mathematics (304): Practice & Study Guide course

Support