# Ch 3: 6th-8th Grade Math: Properties of Numbers

**Start Your Free Trial Today**

### About This Chapter

## Properties of Numbers - Chapter Summary

This Properties of Numbers chapter is designed to provide information about a variety of numerical properties, including the zero property of multiplication and the symmetric property of equality. The video lessons in this chapter could teach your elementary and middle school students more about the applications for the transitive property and the division property of equality. The commutative property of multiplication is also covered. Test your students' progress with the included quizzes.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

Commutative Property of Addition: Definition and Examples | Students can discover how to use the commutative property. |

Commutative Property of Multiplication: Definition and Examples | In this lesson, students learn to apply the commutative property of multiplication. |

The Multiplication Property of Zero: Definition and Examples | Elementary and middle school students discover how this multiplication property works. |

Distributive Property: Definition, Use and Examples | Students learn how to solve mathematical problems with the distributive property. |

Addition Property of Equality: Definition and Example | Students are encouraged to complete examples involving this addition property. |

Subtraction Property of Equality: Definition and Example | Students discover how to apply the subtraction property. |

Multiplication Property of Equality: Definition and Example | In this lesson, students explore math operations involving this multiplication property. |

Division Property of Equality: Definition and Example | Elementary and middle schoolers complete examples demonstrating the use of the division property. |

Reflexive Property of Equality: Definition and Examples | The instructor explain the necessity of the reflexive property. |

Symmetric Property of Equality: Definition and Examples | Students learn to write examples and non-examples of equations that use the symmetric property. |

Transitive Property of Equality: Definition and Example | Instructors teach students how to apply the transitive property of equality. |

### 1. Commutative Property of Addition: Definition & Examples

In this video lesson, we talk about the commutative property of addition and what it means when you are adding numbers together. Learn how it can help you solve addition problems faster.

### 2. Commutative Property of Multiplication: Definition & Examples

In this video lesson, we talk about the commutative property of multiplication. We will see how it works in action and what it means for you when you are solving multiplication problems.

### 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.

### 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.

### 5. 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.

### 6. Addition Property of Equality: Definition & Example

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

### 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.

### 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.

### 9. Division Property of Equality: Definition & Example

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

### 10. 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.

### 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!

**Custom Courses**are courses that you create from Study.com lessons. Use them just like other courses to track progress, access quizzes and exams, and share content.

**Create a new course**from any lesson page or your dashboard.

**Edit**your Custom Course directly from your dashboard.

### Earning College Credit

Did you know… We have over 79 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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 6th-8th Grade Math: Practice & Review course

- 6th-8th Grade Math: Basic Arithmetic Operations
- 6th-8th Grade Math: Divisibility
- 6th-8th Grade Math: Number Theory
- 6th-8th Grade Math: Factoring
- 6th-8th Grade Math: Estimating & Rounding
- 6th-8th Grade Math: Whole Numbers
- 6th-8th Grade Math: Simplifying Whole Number Expressions
- 6th-8th Grade Math: Negative Numbers
- 6th-8th Grade Math: Absolute Value
- 6th-8th Grade Math: Integers
- 6th-8th Grade Math: Rational Numbers
- 6th-8th Grade Math: Inequalities
- 6th-8th Grade Math: Introduction to Decimals
- 6th-8th Grade Math: Operations with Decimals
- 6th-8th Grade Math: Introduction to Fractions
- 6th-8th Grade Math: Operations with Fractions
- 6th-8th Grade Math: Percents
- 6th-8th Grade Math: Exponents & Exponential Expressions
- 6th-8th Grade Math: Roots & Radical Expressions
- 6th-8th Grade Algebra: Writing Algebraic Expressions
- 6th-8th Grade Algebra: Basic Algebraic Expressions
- 6th-8th Grade Algebra: Algebraic Distribution
- 6th-8th Grade Algebra: Writing & Solving One-Step Equations
- 6th-8th Grade Algebra: Writing & Solving Two-Step Equations
- 6th-8th Grade Algebra: Simplifying & Solving Rational Expressions
- 6th-8th Grade Math: The Coordinate Graph
- 6th-8th Grade Algebra: Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- 6th-8th Grade Math: Properties of Functions
- 6th-8th Grade Math: Graphing Functions
- 6th-8th Grade Math: Solving Math Word Problems
- 6th-8th Grade Measurement: Perimeter & Area
- 6th-8th Grade Geometry: Introduction to Geometric Figures
- 6th-8th Grade Geometry: Angles
- 6th-8th Grade Measurement: Units of Measurement
- 6th-8th Grade Geometry: Triangles
- 6th-8th Grade Geometry: Quadrilaterals
- 6th-8th Grade Geometry: Circles
- 6th-8th Grade Geometry: Circular Arcs & Measurement
- 6th-8th Grade Geometry: Polyhedrons & Geometric Solids
- 6th-8th Grade Geometry: Symmetry, Similarity & Congruence
- 6th-8th Grade Geometry: Transformations
- 6th-8th Grade Geometry: Triangle Theorems & Proofs
- 6th-8th Grade Geometry: Similar Polygons
- 6th-8th Grade Geometry: The Pythagorean Theorem
- 6th-8th Grade Math: Data & Graphs
- 6th-8th Grade Math: Probability
- 6th-8th Grade Math: Statistics
- 6th-8th Grade Math: Rates, Ratios & Proportions
- 6th-8th Grade Math: Money
- 6th-8th Grade Math: Consumer Math
- 6th-8th Grade Math: Number Sequences
- 6th-8th Grade Math: Sets
- 6th-8th Grade Algebra: Monomials & Polynomials