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Ch 1: PLACE Mathematics: Properties of Real Numbers

About This Chapter

This chapter contains engaging video lessons about mathematical properties and real numbers. Allow us to help you gain a better understanding of these topics as you prepare to take the PLACE Mathematics exam.

PLACE Mathematics: Properties of Real Numbers - Chapter Summary

View the video lessons in this chapter to learn more about solving equations through the use of various properties and formulas. Going through these materials may help you answer related questions on the PLACE Mathematics exam concerning the following topics:

  • Prime numbers and prime factorization
  • Mathematical order of operations
  • The multiplication property of zero
  • Rational number graphing
  • The commutative property
  • The associative property

Each video offers easy-to-follow lessons about the particulars of each of these topics and more. The lessons are designed to broaden and strengthen your knowledge base of mathematics, allowing you to develop the confidence and skills you need to solve different types of equations on the exam.

PLACE Mathematics: Properties of Real Numbers Objectives

The PLACE Mathematics exam is designed to evaluate your ability to teach math in a Colorado classroom, and it specifically tests your problem-solving skills, your mathematical reasoning, and your knowledge of advanced mathematical concepts. The lessons in this chapter should sharpen your ability to solve various types of equations, and the discussions about properties and real numbers can assist with expanding your mathematical reasoning skills. Test takers are allowed some tools for the exam, such as graphing calculators, but individuals must know how to use these devices without instruction manuals. According to the study guide, the questions are multiple-choice for this exam.

9 Lessons in Chapter 1: PLACE Mathematics: Properties of Real Numbers
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.

Graphing Rational Numbers on a Number Line

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.

The Commutative Property: Definition and Examples

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.

The Associative Property: Definition and Examples

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.

The Multiplication Property of Zero: Definition & Examples

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.

How to Find the Greatest Common Factor

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!

How to Find the Least Common Multiple

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!

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

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.

How to Find the Prime Factorization of a Number

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.

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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Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

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