# Ch 4: High School Algebra: Real Numbers

### About This Chapter

## Real Numbers - Chapter Summary and Learning Objectives

Natural numbers, whole numbers, integers, rational numbers and irrational numbers are all considered real numbers. In these lessons, our instructors will show you how to define the different types of such numbers. Through watching our video lessons, you'll also find out how real numbers are used and identified. By the time you complete this chapter, you should understand how to:

- Graph rational numbers on the number line
- Use < or > to determine which number is greater
- Write an inequality that has the same meaning as another inequality
- Judge whether an inequality is considered true or false
- Find a real number's absolute value
- Show how fraction notations for rational numbers can be converted to decimal notations

Video | Objective |
---|---|

What are the Different Types of Numbers? | Learn about which types of numbers there are: natural, whole, integers, rational, irrational and real. |

Graphing Rational Numbers | Demonstrate how to graph rational numbers on the number line. |

Notation for Rational Numbers | Explain how to convert fraction notation for a rational number to decimal notation. |

The Order of Real Numbers | Determine which of two real numbers is greater and indicate this using < or >. Given an inequality like a > b, write another inequality with the same meaning. Determine whether an inequality like -3 < or = 5 is true or false. |

The Absolute Value of a Real Number | Explain how to find the absolute value of a real number. |

### 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. 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.

### 3. Notation for Rational Numbers, Fractions & Decimals

How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.

### 4. 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.

### 5. 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.

### 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 Algebra I: High School course

- High School Algebra: Solving Math Word Problems
- High School Algebra: Percent Notation
- High School Algebra: Calculations, Ratios, Percent & Proportions
- High School Algebra: Exponents and Exponential Expressions
- High School Algebra: Properties of Exponents
- High School Algebra: Radical Expressions
- High School Algebra: Algebraic Expressions and Equations
- High School Algebra: Algebraic Distribution
- High School Algebra: Properties of Functions
- High School Algebra: Working With Inequalities
- High School Algebra: Linear Equations
- High School Algebra: Factoring
- High School Algebra: Quadratic Equations
- High School Algebra: Graphing and Factoring Quadratic Equations
- High School Algebra: Properties of Polynomial Functions
- High School Algebra: Rational Expressions
- High School Algebra: Matrices and Absolute Value
- High School Algebra: Data, Statistics, and Probability