Ch 7: CBASE Math: Basic Concepts & Vocabulary
About This Chapter
CBASE Math: Basic Concepts & Vocabulary - Chapter Summary
The lessons in this Basic Concepts and Vocabulary chapter take you back to basics. They cover the nuts and bolts of mathematical notation, operations, properties and reasoning. As you prepare for the CBASE Math exam, the lessons will address the following topics:
- Writing and interpreting sets
- Deductive vs. inductive reasoning
- Rational and irrational numbers, integers and more
- Identity and inverse properties
- Commutative, associative, transitive and distributive properties
- Arithmetic sequences
Our instructors are highly qualified experts in their fields, and they are available after each lesson to answer whatever questions you may have. In addition, we have subject-matter specialists available for you to consult if you would like further clarification or additional information. With the help available to you through our lessons, instructors and experts, you never have to go it alone.
CBASE Math: Basic Concepts & Vocabulary Chapter Objectives
The CBASE Math exam is part of a four-pronged examination required for entry into an undergraduate professional education program. Our lessons correspond to the general math section of the CBASE Math test.
The CBASE exam has 180 questions total, 56 of which are in the math content area. The questions are multiple choice, requiring you to choose the correct answer from the list of options given.

1. Set Notation: Definition & Examples
After completing this lesson, you will know how to write a set using words and using mathematical symbols. You will also know how to define sets and how to interpret sets that are displayed in set notation.

2. Reasoning in Mathematics: Inductive and Deductive Reasoning
Many people think that deductive and inductive reasoning are the same thing. It is assumed these words are synonymous. They are not. This lesson reveals the reality of these two types of reasoning.

3. 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.

4. Identity Property: Definition & Examples
In this lesson, you will learn the definition of the identity property, discover the four different identity properties and examine examples that clearly illustrate these properties. Following this lesson will be a brief quiz to test your knowledge.

5. Inverse Property: Definition & Examples
In this lesson, you will learn the definition of inverse property as it applies to different types of numbers. You will also look at examples that show you how to find the additive inverse and multiplicative inverse of a number.

6. 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.

7. 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.

8. Transitive Property of Equality: Definition & Example
After watching this video lesson, you will understand how the transitive property of equality works when you have two equations that are equal to each other. Learn the formula for this property and how you can use it to help you solve problems.

9. 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.

10. How to Find and Classify an Arithmetic Sequence
Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!
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Other Chapters
Other chapters within the CBASE: Practice & Study Guide course
- CBASE English: Critical Reading
- CBASE English: Literary Periods & Movements
- CBASE English: Important Authors in Literature
- CBASE English: Writing Processes
- CBASE English: Writing Grammar & Mechanics
- CBASE English: Essay Writing
- CBASE Math: Solving Word Problems
- CBASE Math: Statistics & Probability
- CBASE Math: Basic Algebra
- CBASE Math: Basic Geometry
- CBASE Science: Scientific Research Methods
- CBASE Science: Scientific Methods
- CBASE Science: Basics of Life Science
- CBASE Science: Basics of Physical Science
- CBASE Science: Basics of Earth Science
- CBASE Science: Basics of Astronomy
- CBASE Social Studies: Ancient History
- CBASE Social Studies: World History
- CBASE Social Studies: Major Historical Movements
- CBASE Social Studies: Key Figures in History
- CBASE Social Studies: Early American History
- CBASE Social Studies: Modern American History
- CBASE Social Studies: American Government
- CBASE Social Studies: Geography & Culture
- CBASE Social Studies: Political & Economic Structures
- CBASE Social Studies: Social Science Research
- CBASE Flashcards