# Ch 12: MTEL Middle School Mathematics: Real Numbers

### About This Chapter

## MTEL Middle School Mathematics: Real Numbers - Chapter Summary

Let us take you back to basics in these quick little videos reviewing real, rational and irrational numbers. The lessons cover the following topics that may appear on the MTEL Middle School Mathematics exam:

- Number types and the properties of real numbers
- Absolute value and the order of real numbers
- Recognizing, comparing, graphing and ordering rational numbers
- Explanation of irrational numbers
- Operations with rational numbers
- Closure and inverse properties
- Common number theorems

We make studying fun without sacrificing efficiency or effectiveness. Our videos are cleverly written and illustrated but contain solid information presented by highly qualified and experienced instructors. Each video lesson is accompanied by a fully transcribed written version, in which key terminology is highlighted for quick referral, and a short quiz to help you measure your progress. Chapter tests help you evaluate your overall mastery of the material, and the mobile nature of our program enables you to study from any device in any location that offers internet access.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 11. The Closure Property of Real Numbers

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

### 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.

### 13. Overview of Common Number Theorems

In this lesson, we will learn about and look at examples of the common theorems related to the basic mathematical operations of addition, subtraction, multiplication, and division.

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### Other Chapters

Other chapters within the MTEL Mathematics (Middle School)(47): Practice & Study Guide course

- MTEL Middle School Mathematics: Number Structure
- MTEL Middle School Mathematics: Absolute Value
- MTEL Middle School Mathematics: Math Properties
- MTEL Middle School Mathematics: Concept of Equality
- MTEL Middle School Mathematics: Operations
- MTEL Middle School Mathematics: Introduction to Fractions
- MTEL Middle School Mathematics: Operations with Fractions
- MTEL Middle School Mathematics: Decimals
- MTEL Middle School Mathematics: Percent
- MTEL Middle School Mathematics: Ratios, Proportions & Rate of Change
- MTEL Middle School Mathematics: Estimating
- MTEL Middle School Mathematics: Exponents
- MTEL Middle School Mathematics: Number Properties
- MTEL Middle School Mathematics: Roots & Powers
- MTEL Middle School Mathematics: Algebra Basics
- MTEL Middle School Mathematics: Principles of Algebra
- MTEL Middle School Mathematics: Functions
- MTEL Middle School Mathematics: Linear Equations
- MTEL Middle School Mathematics: Polynomials
- MTEL Middle School Mathematics: Quadratic Equations
- MTEL Middle School Mathematics: Vectors in Linear Algebra
- MTEL Middle School Mathematics: Matrices in Linear Algebra
- MTEL Middle School Mathematics: Patterns
- MTEL Middle School Mathematics: Measurement
- MTEL Middle School Mathematics: History of Geometry
- MTEL Middle School Mathematics: Properties & Theorems of Geometry
- MTEL Middle School Mathematics: Principles of Geometry
- MTEL Middle School Mathematics: Pre-Calculus Geometry
- MTEL Middle School Mathematics: Area, Perimeter & Volume
- MTEL Middle School Mathematics: Trigonometric Functions
- MTEL Middle School Mathematics: Trigonometric Graphs
- MTEL Middle School Mathematics: Solving Trigonometric Equations
- MTEL Middle School Mathematics: Trigonometric Identities
- MTEL Middle School Mathematics: Trigonometric Applications
- MTEL Middle School Mathematics: Data
- MTEL Middle School Mathematics: Probability & Statistics
- MTEL Middle School Mathematics: Probability & Science
- MTEL Middle School Mathematics: Calculating Probability & Statistics
- MTEL Middle School Mathematics: Logic
- MTEL Mathematics (Middle School) Flashcards