# Ch 4: Saxon Algebra 2: Real Numbers

### About This Chapter

## How It Works:

- Identify the lessons in the Saxon Real Numbers chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the real numbers 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:

- Different types of numbers
- Performing addition and subtraction
- Performing multiplication and division
- Absolute values
- Reciprocals of rational expressions
- Commutative property
- Distributive property
- Multiplication property of equality
- Additive property

*Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. What are the Different Types of Numbers?

There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

### 2. How to Perform Addition: Steps & Examples

Addition is a mathematical operation in which two or more numbers or quantities are combined together. Know the definition of addition, learn how to add, and explore the steps and examples of adding more than two numbers.

### 3. How to Perform Subtraction: Steps & Examples

Subtraction is a basic mathematical operation that involves one number taking value away from another number. Learn about the definition of subtraction and explore examples of how to perform subtraction and also the steps for subtracting two or more numbers from another number.

### 4. How to Perform Multiplication: Steps & Examples

Multiplication is a basic mathematical operation that involves the number of times a number or quantity should be added to itself. Learn about multiplication and explore the steps and examples of multiplying two or more numbers.

### 5. How to Perform Division: Steps & Examples

A basic mathematical operation, performing division involves separating numbers or quantities and sometimes results in remainders. Learn about the definition of division, the symbols used for division with and without a remainder, and explore examples of the steps for dividing two quantities.

### 6. What is an Absolute Value?

Absolute value in mathematics involves focusing on the size of a number instead of its sign. Explore the distance from zero, notation of absolute values, and solving equations with absolute values.

### 7. Division and Reciprocals of Rational Expressions

Rational expressions are math statements with rational numbers, which are numbers that can be written as the fraction of two integers. In this lesson, discover how to divide a rational number, learn how to take the reciprocal, and practice some examples.

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

The commutative property of addition states that numbers added in any order will always have the same sum. Learn the detailed definition of the commutative property of addition and its formula, and explore examples of how the commutative property works.

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

The commutative property of multiplication states that regardless of the order which numbers are multiplied in, the result will be the same. Learn the definition and formula of the commutative property in detail, and apply your knowledge by working with examples.

### 10. Distributive Property: Definition, Use & Examples

The distributive property is a concept that helps make math problems easier to solve when dealing with multiple factors. Learn about the definition of this property, how to use the distributive property, and examples and applications of it in different types of math.

### 11. Multiplication Property of Equality: Definition & Example

The multiplication property of equality states that if one side of an equation is multiplied, the other side is multiplied by the same number in order to keep the equation the same. Learn more about this formula by reviewing two examples.

### 12. Additive Property: Definition & Examples

The additive property is a concept often used to solve algebraic problems. Learn about the additive property of equality, the additive property of inequalities, the additive inverse property, and examples of all three.

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### Other Chapters

Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course

- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Roots
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs