Ch 27: Rational Number Operations & Properties

About This Chapter

This chapter provides information on operations in math involving rational numbers. Lessons discuss addition, subtraction, multiplication, division, word of problems, and inverse operations. You will get to see examples of working with fractions and use of exponential expressions.

Rational Number Operations & Properties - Chapter Summary

The lessons in this chapter will help you understand rational numbers in adding and subtracting operations, steps and examples for solving word problems, and what we mean by remainder in math along with examples.

You will discover raising and reduction of fractions, and the associative, distributive and commutative properties of numbers. More is covered in these lessons, such as:

  • Use of rational numbers in multiplying and dividing
  • Increase understanding by personalizing a word problem
  • Definition and examples of inverse operation in math
  • Defining the unit fraction and some examples
  • Ordering and comparing fractions
  • The order of operations and exponential expressions

These are short text and video lessons that accommodate use of mobile devices for logging in and spending a short amount of time while still making progress on this study program. An accompanying lesson quiz can be used as often as you like to assess your comprehension of the lesson material. Track your progress towards chapter completion on your dashboard.

11 Lessons in Chapter 27: Rational Number Operations & Properties
Test your knowledge with a 30-question chapter practice test
Adding & Subtracting Rational Numbers

1. 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

2. 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.

Solving Word Problems: Steps & Examples

3. Solving Word Problems: Steps & Examples

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

Personalizing a Word Problem to Increase Understanding

4. Personalizing a Word Problem to Increase Understanding

When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.

Inverse Operations in Math: Definition & Examples

5. Inverse Operations in Math: Definition & Examples

In mathematics, inverse operations are operations that 'undo' each other. Most operations have an inverse. This lesson describes the most common operations and their inverses, and it provides some examples and a quiz to cement your knowledge.

Remainder in Math: Definition & Example

6. Remainder in Math: Definition & Example

Division problems often result in remainders. In this lesson, we will define the remainder and use long division of numbers and synthetic division of polynomials to compute remainders.

How to Raise and Reduce Fractions

7. How to Raise and Reduce Fractions

When working with fractions, you sometimes need to change your fraction to make it easier to work with. Watch this video lesson to learn how you can raise and reduce fractions to make your problem solving easier.

What is a Unit Fraction? - Definition & Examples

8. What is a Unit Fraction? - Definition & Examples

In this lesson, we'll define unit fractions. We'll use definitions and examples to illustrate how these types of fractions are parts of the number 1 and how they can be used to make up other fractions.

Comparing and Ordering Fractions

9. Comparing and Ordering Fractions

Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.

Exponential Expressions & The Order of Operations

10. Exponential Expressions & The Order of Operations

When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.

Number Properties: Commutative, Associative & Distributive

11. Number Properties: Commutative, Associative & Distributive

We often find ourselves using real number properties when working on math problems. These properties come in a variety of forms, but in this lesson we'll focus on learning about the commutative, associative, and distributive properties.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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