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Ch 12: MTEL Middle School Math/Science: Real Numbers

About This Chapter

As you study for the MTEL Middle School Mathematics/Science exam, use this chapter to improve your understanding of the properties and types of real numbers, inequalities with real numbers, absolute value and mathematical operations with real numbers.

MTEL Middle School Math/Science: Real Numbers - Chapter Summary

Watch these short, engaging and mobile device-friendly lesson videos to review the types and properties of real numbers. In these lessons, our professional instructors explain how these properties are used to differentiate real numbers from other numbers and how to complete mathematical operations with them. After these lessons, you should have a better understanding of:

  • Differences between the different types of numbers
  • Properties of real numbers
  • Inequalities and ordering real numbers
  • The absolute value of real numbers
  • Differences between rational and irrational numbers
  • Comparing, ordering and graphing rational numbers
  • Adding, subtracting, multiplying and dividing rational numbers
  • Closure Property and Inverse Property of real numbers

For an additional review of the material read over the lesson transcripts, written overviews of the lessons that help you learn the key terms and figures of the chapter. Also take the lesson quizzes to find topics that you didn't master when reviewing the lessons.

MTEL Middle School Math/Science: Real Numbers Chapter Objectives

Individuals take the Massachusetts Tests for Educator Licensure (MTEL) Middle School Mathematics/Science exam to demonstrate their skills and knowledge of middle grades mathematics and science. When you take this computer-based certification exam, you will be administered 100 multiple-choice questions and two open-response assignments, which you will asked to complete in a four-hour testing session. Questions about real numbers are found in the Number Sense and Operations area, which accounts for 8% of your test score.

12 Lessons in Chapter 12: MTEL Middle School Math/Science: 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 Real Numbers? - Definition & Properties

2. What are Real Numbers? - Definition & Properties

There are many definitions of real numbers, but they all lead to the same conclusion. Real numbers are numbers that have a measurable value. Learn more about real numbers with some examples and a quiz to test your knowledge.

The Order of Real Numbers: Inequalities

3. The Order of Real Numbers: Inequalities

An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.

Finding the Absolute Value of a Real Number

4. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

What are Rational Numbers? - Definition & Examples

5. What are Rational Numbers? - Definition & Examples

In this lesson, we will learn about rational numbers and their characteristics. We'll discover what they are, what they aren't and how to distinguish them from other types of numbers.

What are Irrational Numbers? - Definition & Examples

6. What are Irrational Numbers? - Definition & Examples

Irrational numbers may not be crazy, but they do sometimes bend our minds a little. Learn about common irrational numbers, like the square root of 2 and pi, as well as a few others that businessmen, artists, and scientists find useful.

Comparing & Ordering Rational Numbers

7. Comparing & Ordering Rational Numbers

After watching this video lesson, you will be able to look at any rational number and compare it with any other rational number. Learn what you need to do so that you know which number is greater or lesser than another.

Graphing Rational Numbers on a Number Line

8. 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.

Adding & Subtracting Rational Numbers

9. Adding & Subtracting Rational Numbers

After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.

Multiplying & Dividing Rational Numbers

10. Multiplying & Dividing Rational Numbers

After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.

The Closure Property of Real Numbers

11. The Closure Property of Real Numbers

In this lesson, we'll look at real numbers, closure properties, and the closure properties of real numbers. We'll also see an example of why it is useful to know what operations real numbers are closed under.

Inverse Property: Definition & Examples

12. Inverse Property: Definition & Examples

In this lesson, you will learn the definition of inverse property as it applies to different types of numbers. You will also look at examples that show you how to find the additive inverse and multiplicative inverse of a 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

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Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

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