# 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

Using set notation can help define the elements of a set. Learn the definition of set notation, the set concept, sets of number systems, what subsets are, union and intersection of sets, cardinality of sets, and see some examples of applying set notation.

### 2. Reasoning in Mathematics: Inductive and Deductive Reasoning

Inductive and deductive reasoning are two methods of reasoning used in mathematics. Explore the definitions of inductive and deductive reasoning, review examples of each in action, and learn when and how to use them.

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

There are different types or families of numbers. Learn how to identify natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.

### 4. Identity Property: Definition & Examples

Identity property makes use of an identity that when added, subtracted, multiplied, or divided to a given number will result in the same number. Learn about the definition, see examples, and understand why identities are always 0 and 1.

### 5. Inverse Property: Definition & Examples

The Additive Inverse Property asserts that all integers have an inverse number that can be summed to reach zero (3 + -3 + 0), and the Multiplicative Inverse Property states that all fractions have an inverse which can be multiplied together to reach one (1/3 x 3 = 1). Learn these two concepts through a set of examples.

### 6. The Commutative Property: Definition and Examples

The commutative property in mathematics asserts that terms in an equation can be swapped, and still have the same answer. Learn the implications of this principle, and how to use it in examples problems.

### 7. The Associative Property: Definition and Examples

The associative property is a principle in mathematics which states that in addition or multiplication problems, terms grouped in different ways produce the same answer. Study the definition and examples of this principle, and it's importance.

### 8. Transitive Property of Equality: Definition & Example

In mathematics, the transitive property of equality shows that if M is equal to N and also equal to O, then N and O must also be equal to each other. Explore the definition and examples of the transitive property of equality. Learn the formula and recognize how to use the formula and the property to solve equations.

### 9. Distributive Property: Definition, Use & Examples

The distributive property is a concept that helps make math problems easier to solve when dealing with multiple factors. Learn about the definition of this property, how to use the distributive property, and examples and applications of it in different types of math.

### 10. How to Find and Classify an Arithmetic Sequence

Arithmetic sequences, the pattern of progressing numbers, can be classified by finding the difference between numbers in the sequence and then notating them into a formula. See the process of the two standard formulas used, as well as how to find them using terms.

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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