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Ch 2: Chapter 2: Rational Numbers

About This Chapter

The Rational Numbers chapter of this Prentice Hall Algebra I Textbook Companion Course helps students learn the essential lessons associated with rational numbers. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Rational Numbers textbook chapter.

How It Works:

  • Identify the lessons in the Prentice Hall Rational Numbers chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the algebra 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:

  • How to use a number line
  • Addition and subtraction steps
  • Steps for adding and subtracting like fractions
  • Methods of adding and subtracting mixed numbers
  • Multiplication and division steps
  • How to perform arithmetic calculations with signed numbers
  • How to explain the distributive property
  • The differences between distributing and adding first
  • The distribution of positive and negative signs
  • The commutative and associative properties
  • Events as subsets
  • Relative frequency
  • Probability of simple, compound and complementary events
  • Probability of independent and dependent events

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16 Lessons in Chapter 2: Chapter 2: Rational Numbers
Test your knowledge with a 30-question chapter practice test
What Is a Number Line?

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.

How to Perform Addition: Steps & Examples

2. How to Perform Addition: Steps & Examples

Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.

How to Perform Subtraction: Steps & Examples

3. How to Perform Subtraction: Steps & Examples

Subtraction is one of the basic operations in math. Watch this video lesson to learn how you can view and understand subtraction so that you can easily perform it.

How to Add and Subtract Like Fractions and Mixed Numbers

4. 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.

How to Add and Subtract Unlike Fractions and Mixed Numbers

5. 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.

How to Perform Multiplication: Steps & Examples

6. How to Perform Multiplication: Steps & Examples

Multiplication, one of the basic operations of math, is important not just in elementary math but also in higher math. Watch this video lesson to learn how you can multiply with ease.

How to Perform Division: Steps & Examples

7. How to Perform Division: Steps & Examples

Watch this video lesson to learn how you can divide. Division is one of the basic operations of math. It is one of the fundamental operations that all higher mathematics depends upon.

Arithmetic Calculations with Signed Numbers

8. 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.

Why Do We Distribute in Algebra? - Explanation & Examples

9. Why Do We Distribute in Algebra? - Explanation & Examples

What's the purpose of distribution in algebra? In this lesson, we'll find out why we distribute. We'll also look at examples and sample problems that involve basic distribution.

Distributing First vs. Adding First: Differences & Examples

10. Distributing First vs. Adding First: Differences & Examples

When we need to simplify an expression, how do we know if we should distribute first or add first? In this lesson, we'll look at when this matters and how to make the best decision.

Distributing Positive and Negative Signs

11. Distributing Positive and Negative Signs

It's not just numbers and variables that get distributed. Positive and negative signs can, too. In this lesson, we'll learn how to distribute positive and negative signs correctly.

The Commutative and Associative Properties and Algebraic Expressions

12. The Commutative and Associative Properties and Algebraic Expressions

The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.

Events as Subsets of a Sample Space: Definition & Example

13. 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.

Relative Frequency & Classical Approaches to Probability

14. Relative Frequency & Classical Approaches to Probability

To understand probability, it is important to understand the foundations. In this lesson, you will learn about relative frequency and the foundations of understanding probability.

Probability of Simple, Compound and Complementary Events

15. Probability of Simple, Compound and Complementary Events

Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.

Probability of Independent and Dependent Events

16. Probability of Independent and Dependent Events

Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.

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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