Copyright

Ch 3: GACE Middle Grades Math: Properties of Numbers

About This Chapter

These video lessons help you study the properties of real numbers to prepare you to take the GACE Middle Grades Mathematics test. Take the lesson quizzes and chapter exam for an extra boost to drive home what you learned in the lessons.

GACE Middle Grades Math: Properties of Numbers - Chapter Summary

Get the key definitions and many examples of the properties of real numbers. These lessons will prepare you for any GACE Middle Grades Math exam questions on the following:

  • Commutative property of addition
  • Multiplication property of zero
  • Distributive and associative properties of real numbers
  • Addition, subtraction, multiplication and division properties of equality
  • Reflexive, symmetric and transitive properties of equality

Our experienced instructors make the process of studying fun by presenting content-rich lessons in an approachable, engaging manner. These short videos may be watched as often as necessary to ensure you take what you need from each lesson. If you want to re-watch only a few main points in the lessons, use tags to jump to the respective video segments. Read lesson transcripts as an additional study aid.

12 Lessons in Chapter 3: GACE Middle Grades Math: Properties of Numbers
Test your knowledge with a 30-question chapter practice test
The Commutative Property: Definition and Examples

1. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

Commutative Property of Addition: Definition & Example

2. Commutative Property of Addition: Definition & Example

This lesson will explain the commutative property of addition, as well as provide examples of how this property is used. A quiz to test your knowledge will follow the lesson.

The Multiplication Property of Zero: Definition & Examples

3. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

Distributive Property: Definition, Use & Examples

4. Distributive Property: Definition, Use & Examples

After completing this lesson, you will be able to state the distributive property and apply it to various types of problems. You will also be able to accurately perform the mathematical operations that are involved with the distributive property.

The Associative Property: Definition and Examples

5. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

Addition Property of Equality: Definition & Example

6. Addition Property of Equality: Definition & Example

After watching this video lesson, you should be able to use the addition property of equality to help you solve problems. In addition, you can learn the formula for this property.

Subtraction Property of Equality: Definition & Example

7. Subtraction Property of Equality: Definition & Example

In this video lesson, we look at the subtraction property of equality. Learn how it helps you to solve problems and how it keeps equations the same. Learn what you must do to both sides of an equation.

Multiplication Property of Equality: Definition & Example

8. Multiplication Property of Equality: Definition & Example

After watching this video lesson, you will learn to use the multiplication property of equality to help you solve problems in math. You will also learn the formula for this property.

Division Property of Equality: Definition & Example

9. Division Property of Equality: Definition & Example

In this video lesson, you will learn about the division property of equality, its formula, and how you can use it to help you solve problems where you are looking for an unknown number.

Reflexive Property of Equality: Definition & Examples

10. Reflexive Property of Equality: Definition & Examples

After watching this video lesson, you will understand the reflexive property of equality. You will learn what the formula for this property looks like and how you can use it to help you solve problems.

Symmetric Property of Equality: Definition & Examples

11. Symmetric Property of Equality: Definition & Examples

Have you ever finished a math problem only to see that the teacher's answer was written backwards? Find out why your answer is correct in this lesson on the symmetric property of equality!

Transitive Property of Equality: Definition & Example

12. Transitive Property of Equality: Definition & Example

After watching this video lesson, you will understand how the transitive property of equality works when you have two equations that are equal to each other. Learn the formula for this property and how you can use it to help you solve problems.

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

Earning College Credit

Did you know… We have over 160 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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

Support