# Ch 15: Overview of Math Properties

### About This Chapter

## Overview of Math Properties - Chapter Summary

This chapter is filled with engaging lessons you can review to strengthen your understanding of various math properties. Whether you know a little or a lot about this subject, our instructors can help you gain full comprehension! Study the additive identity, inverse operations, the identity property and much more. When finished, you should be ready to:

- Define and provide examples of the commutative property
- Share the meaning and examples of the additive identity property
- Describe inverse operations in math
- List and describe four identity properties
- Provide examples of the associative property

This chapter is 100% customizable, enabling you to choose the lessons you want to view in the format (video or transcript) you prefer. Feel free to access the lessons anytime using any smartphone, tablet or computer with an Internet connection. If you'd like to check your knowledge of the math properties covered in this chapter, be sure to take the mini lesson quizzes and practice exam. Any lesson topic questions you have can be submitted to our experts via the Dashboard.

### 1. The Commutative Property: Definition and Examples

The commutative property in mathematics asserts that terms in an equation can be swapped, and still have the same answer. Learn the implications of this principle, and how to use it in examples problems.

### 2. Additive Identity: Definition & Examples

The additive identity property says that when a real number and zero are added together the same real number is the result. Explore the definition and examples of additive identity, and learn about properties of numbers and additive identity for real, imaginary, and complex numbers and sets.

### 3. Inverse Operations in Math: Definition & Examples

In mathematics, inverse operations are opposite operations that undo each other to return to the starting number. Explore the definition, properties, and examples of inverse operations, and learn how to use inverse operations to solve algebraic problems.

### 4. Identity Property: Definition & Examples

Identity property makes use of an identity that when added, subtracted, multiplied, or divided to a given number will result in the same number. Learn about the definition, see examples, and understand why identities are always 0 and 1.

### 5. The Associative Property: Definition and Examples

The associative property is a principle in mathematics which states that in addition or multiplication problems, terms grouped in different ways produce the same answer. Study the definition and examples of this principle, and it's importance.

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### Other Chapters

Other chapters within the AEPA Essential Academic Skills: Practice & Study Guide course

- Sentence Types & Their Structures
- Grammar Conventions in Writing
- Basic Writing Mechanics
- Word Meanings & Figurative Language
- Word & Sentence Choice
- Components of an Essay
- Developing & Organizing Essays
- Identifying Errors in Writing
- Developing Reading Comprehension Skills
- Identifying the Main Idea & Purpose of Written Works
- Analyzing, Interpreting & Evaluating Reasoning
- Organizing Information Using Written & Graphic Forms
- Basic Number Structure
- Basic Number Operations
- Concept of Equality in Math
- Understanding Operations with Fractions
- Understanding Operations with Decimals
- Understanding Operations with Percents
- Overview of Ratios, Proportions & Rate of Change
- Understanding Exponents & Scientific Notation
- Principles of Algebra
- Methods for Solving Algebraic Equations
- Understanding & Solving Linear Equations
- Graphing Points, Lines & Functions
- Understanding the Properties of Functions
- Rules of Measurements
- Principles of Geometry
- Understanding Geometric Shapes & Their Properties
- Overview of Area, Perimeter, Surface Area & Volume
- Pythagorean Theorem & Right Triangles
- Using Different Types of Data
- Visual Depictions of Data
- Summarizing Data Sets
- Probability & Statistics Basics
- Using Logic in Math
- Methods for Solving Math Word Problems
- AEPA Essential Academic Skills Flashcards