# Ch 1: AEPA Math: Properties of Real Numbers

### About This Chapter

## NES Mathematics: Properties of Real Numbers - Chapter Summary

Follow the lessons in this chapter to gain a better understanding of numbers and mathematical properties to prep yourself for the related questions on the NES Mathematics test. To help you master the topics prior to taking the test, the videos go over the following major areas:

- Different types of numbers (prime, rational, and composite)
- Graphing strategies
- Mathematical properties (the associative property, the commutative property, and the multiplication property of zero)
- Techniques for finding the least common multiple and the greatest common factor
- Mathematical order of operations
- Prime factorization

Our instructors take you on a step-by-step journey through these topics, showing you the techniques for identifying numbers and the formulas for solving these types of equations. You can re-watch the videos as much as you like, and you can check out the transcripts for key terms. The quizzes are also useful for testing how much you've learned.

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

Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.

### 2. Graphing Rational Numbers on a Number Line

Number lines have many uses both in mathematics and everyday life. This lesson will teach you how to graph numbers on a number line and give real-world examples of how to use number lines.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

### 7. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

### 8. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

### 9. How to Find the Prime Factorization of a Number

The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.

### Earning College Credit

Did you know… We have over 200 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 AEPA Mathematics (NT304): Practice & Study Guide course

- AEPA Math: Fractions
- AEPA Math: Decimals & Percents
- AEPA Math: Ratios & Proportions
- AEPA Math: Units of Measure & Conversions
- AEPA Math: Logic
- AEPA Math: Reasoning
- AEPA Math: Vector Operations
- AEPA Math: Matrix Operations & Determinants
- AEPA Math: Exponents & Exponential Expressions
- AEPA Math: Algebraic Expressions
- AEPA Math: Linear Equations
- AEPA Math: Inequalities
- AEPA Math: Absolute Value
- AEPA Math: Quadratic Equations
- AEPA Math: Polynomials
- AEPA Math: Rational Expressions
- AEPA Math: Radical Expressions
- AEPA Math: Systems of Equations
- AEPA Math: Complex Numbers
- AEPA Math: Functions
- AEPA Math: Piecewise Functions
- AEPA Math: Exponential & Logarithmic Functions
- AEPA Math: Continuity of Functions
- AEPA Math: Limits
- AEPA Math: Rate of Change
- AEPA Math: Derivative Rules
- AEPA Math: Graphing Derivatives
- AEPA Math: Applications of Derivatives
- AEPA Math: Area Under the Curve & Integrals
- AEPA Math: Integration Techniques
- AEPA Math: Applications of Integration
- AEPA Math: Foundations of Geometry
- AEPA Math: Geometric Figures
- AEPA Math: Properties of Triangles
- AEPA Math: Triangle Theorems & Proofs
- AEPA Math: Parallel Lines & Polygons
- AEPA Math: Quadrilaterals
- AEPA Math: Circles & Arc of a Circle
- AEPA Math: Conic Sections
- AEPA Math: Geometric Solids
- AEPA Math: Analytical Geometry
- AEPA Math: Using Trigonometric Functions
- AEPA Math: Trigonometric Graphs
- AEPA Math: Solving Trigonometric Equations
- AEPA Math: Trigonometric Identities
- AEPA Math: Sequences & Series
- AEPA Math: Graph Theory
- AEPA Math: Set Theory
- AEPA Math: Statistics Overview
- AEPA Math: Summarizing Data
- AEPA Math: Tables, Plots & Graphs
- AEPA Math: Probability
- AEPA Math: Discrete Probability Distributions
- AEPA Math: Continuous Probability Distributions
- AEPA Math: Sampling
- AEPA Math: Regression & Correlation
- AEPA Mathematics Flashcards