# Ch 2: Glencoe Algebra 1 Chapter 2: Real Numbers

### About This Chapter

## How it works:

- Identify the lessons in the Glencoe Algebra 1 Real Numbers chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the real numbers topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

## Students will learn:

- Rational numbers and the number line
- Addition and subtraction of rational numbers
- Multiplication and division of rational numbers
- Display and analysis of statistical data
- Probability and odds
- Square roots and the order of real numbers

*Glencoe is a registered trademark of McGraw-Hill Education, which is not affiliated with Study.com.*

### 1. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

### 2. 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.

### 3. 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.

### 4. Finding the Absolute Value of a Rational Number

Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems. Learn the order in which you should do calculations so that your answers are correct.

### 5. Arithmetic Calculations with Signed Numbers

Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.

### 6. Using Fraction Notation: Addition, Subtraction, Multiplication & Division

How do we add, subtract, multiply or divide with fractions? In this lesson, we'll learn how to use fraction notation correctly no matter what operation we're completing.

### 7. Addition, Subtraction, Multiplication, and Division with Decimal Notation

Performing operations such as addition, subtraction, multiplication and division has some differences when there are decimals involved. This lesson will explain how to perform these operations all while keeping the decimals straight.

### 8. How to Add and Subtract Like Fractions and Mixed Numbers

When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.

### 9. How to Add and Subtract Unlike Fractions and Mixed Numbers

Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.

### 10. Adding and Subtracting Decimals: Examples & Word Problems

In math, we sometimes have to deal with decimal numbers instead of our nice whole numbers. Watch this video lesson to learn the one thing that you have to take into consideration when adding and subtracting decimals.

### 11. Multiplying Fractions and Mixed Numbers

Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.

### 12. Multiplying and Dividing Decimals: Examples & Word Problems

Watch this video lesson to learn what you need to do to get a correct answer when multiplying and dividing decimals. Learn the easy tricks to figuring out where the decimal point goes.

### 13. Dividing Fractions and Mixed Numbers

Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.

### 14. Creating & Reading Stem & Leaf Displays

Every once in a while you will come across stem-and-leaf displays in statistics. These displays can be very useful in identifying all of the values in a data set while still visually representing the data.

### 15. Mean, Median & Mode: Measures of Central Tendency

By describing the data using central tendency, a researcher and reader can understand what the typical score looks like. In this lesson, we will explore in more detail these measures of central tendency and how they relate to samples and populations.

### 16. Events as Subsets of a Sample Space: Definition & Example

Probability can get very confusing at times. You will find that some words, such as events and subsets, are often referring to the same concept depending on the experiment. Use this lesson to understand the concept of events as subsets.

### 17. How to Find the Square Root of a Number

What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.

### 18. Evaluating Square Roots of Perfect Squares

Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.

### 19. Simplifying Square Roots When not a Perfect Square

Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.

### 20. 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.

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### Other Chapters

Other chapters within the Glencoe Algebra 1: Online Textbook Help course

- Glencoe Algebra 1 Chapter 1: The Language of Algebra
- Glencoe Algebra 1 Chapter 3: Solving Linear Equations
- Glencoe Algebra 1 Chapter 4: Graphing Relations and Functions
- Glencoe Algebra 1 Chapter 5: Analyzing Linear Equations
- Glencoe Algebra 1 Chapter 6: Solving Linear Inequalities
- Glencoe Algebra 1 Chapter 7: Solving Systems of Linear Equations and Inequalities
- Glencoe Algebra 1 Chapter 8: Polynomials
- Glencoe Algebra 1 Chapter 9: Factoring
- Glencoe Algebra 1 Chapter 10: Quadratic and Exponential Functions
- Glencoe Algebra 1 Chapter 11: Radical Expressions and Triangles
- Glencoe Algebra 1 Chapter 12: Rational Expressions and Equations
- Glencoe Algebra 1 Chapter 13: Statistics
- Glencoe Algebra 1 Chapter 14: Probability