Ch 1: MoGEA Mathematics Subtest: The Real Number System

About This Chapter

Get ready to excel on questions on the real number system on the MoGEA Mathematics subtest. Review topics such as the greatest common factors and prime numbers when you study the lessons that are found in this chapter.

MoGEA Mathematics Subtest: The Real Number System - Chapter Summary

The lessons in this chapter cover all the information you need to understand about the real number system prior to taking the MoGEA Mathematics subtest. Lesson topics include:

  • Types of numbers
  • Number line
  • Order of real numbers
  • Absolute values
  • Greatest common factors
  • Least common multiples
  • Prime factorization
  • Simplifying expressions
  • Difference between prime and composite numbers
  • Order of operations
  • Writing a numerical expression

The concise and informative video lessons can be viewed as many times as you need, and all of the resources in this chapter can be accessed numerous times from either a computer or mobile device. If you find yourself struggling, submit a question to our instructors for clarification.

11 Lessons in Chapter 1: MoGEA Mathematics Subtest: The Real Number System
Test your knowledge with a 30-question chapter practice test
What are the Different Types of Numbers?

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.

What Is a Number Line?

2. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

The Order of Real Numbers: Inequalities

3. The Order of Real Numbers: Inequalities

An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.

Finding the Absolute Value of a Real Number

4. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

How to Find the Greatest Common Factor

5. 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!

How to Find the Least Common Multiple

6. 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!

How to Find the Prime Factorization of a Number

7. 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.

How to Simplify Expressions with Integers

8. How to Simplify Expressions with Integers

After watching this video lesson, you will be able to simplify any integer expression by following the order of operations. Learn what to watch for and in what order to do your operations.

Identifying Prime & Composite Numbers

9. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

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

10. 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.

How to Write a Numerical Expression? - Definition & Examples

11. How to Write a Numerical Expression? - Definition & Examples

In this lesson, you will be given the definition of a numerical expression and learn how to write one. You will be provided with plenty of examples to clearly illustrate this important mathematical concept.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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