About This Chapter
How It Works:
- Identify the lessons in the Saxon Properties of 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:
- Characteristics of real numbers
- Commutative properties of addition and multiplication
- Distributive property
- Additive and multiplicative inverse properties
- Additive and multiplicative identity properties
- Multiplication property of zero
- Multiplicative identity property
- Multiplication property of equality
- Multiplicative property of -1
- Additive property of zero
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1. What are Real Numbers? - Definition & Properties
There are many definitions of real numbers, but they all lead to the same conclusion. Real numbers are numbers that have a measurable value. Learn more about real numbers with some examples and a quiz to test your knowledge.
2. 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.
3. 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.
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. Additive Inverse Property: Definition & Examples
In this lesson, we will examine the additive inverse of a given number. We will also learn about the additive inverse of a variable and how it can be represented graphically. Finally, we will explore the most widely employed application of the additive inverse.
6. Multiplicative Inverse: Definition, Property & Examples
In this lesson, we will cover the definition of the multiplicative inverse, as well as its property. We will review some examples of the property so that we can gain a better understanding of the material. Following the lesson will be a brief quiz.
7. Additive Identity: Definition & Examples
In this lesson, you will learn the definition of the additive identity property and its meaning when applied to various kinds of numbers such as real, imaginary and complex numbers. We will also look at the application of the additive property for sets of numbers.
8. Multiplicative Identity Property: Definition & Example
In this lesson, discover what the multiplicative identity property is and view examples of the property in action. You'll also find out why this property is always true.
9. 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.
10. Multiplicative Property of -1: Definition & Examples
Multiplying by -1 can be really confusing, especially when you have lots of them happening! In this lesson, we'll figure out what to do with those -1 problems and look through a few examples to help us get it down.
11. 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.
12. Additive Property of Zero: Definition & Examples
This lesson will go over the what the additive property of zero is in simple terms with some nice, real-world and mathematical examples along the way!
13. Additive Property: Definition & Examples
After completing this lesson, you will be able to state the additive property of equality, the additive property of inequalities, and the additive inverse property. You will also be able to use these properties to solve problems.
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Other chapters within the Saxon Algebra 1 Homeschool: Online Textbook Help course
- Saxon Algebra 1: Operations With Whole Numbers
- Saxon Algebra 1: Fractions
- Saxon Algebra 1: Decimal Numbers
- Saxon Algebra 1: Graphs on the Coordinate Plane
- Saxon Algebra 1: Sets
- Saxon Algebra 1: Real Numbers
- Saxon Algebra 1: Number Theory
- Saxon Algebra 1: Conversion by Unit Multipliers
- Saxon Algebra 1: Ratio, Rate & Proportion
- Saxon Algebra 1: Percent
- Saxon Algebra 1: Exponents
- Saxon Algebra 1: Roots
- Saxon Algebra 1: Probability
- Saxon Algebra 1: Statistics
- Saxon Algebra 1: Simplifying Expressions
- Saxon Algebra 1: Polynomials
- Saxon Algebra 1: Simplifying Rational Expressions
- Saxon Algebra 1: Simplifying and Solving Equations
- Saxon Algebra 1: Linear Equations
- Saxon Algebra 1: Quadratic Equations
- Saxon Algebra 1: Other Types of Equations
- Saxon Algebra 1: Understanding Functions
- Saxon Algebra 1: Lines, Points, Segments, and Planes
- Saxon Algebra 1: Angles
- Saxon Algebra 1: Polygons
- Saxon Algebra 1: Circles
- Saxon Algebra 1: Triangles
- Saxon Algebra 1: Geometric Solids
- Saxon Algebra 1: Perimeter and Circumference
- Saxon Algebra 1: Area
- Saxon Algebra 1: Surface Area and Volume
- Saxon Algebra 1: Pythagorean Theorem