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Ch 14: Illinois TAP Math: Integers

About This Chapter

This chapter's lessons can show you how to identify and perform operations with integers. Through video lessons and self-assessment quizzes, you can gain the knowledge you need to ace these types of questions on the TAP Mathematics exam.

TAP Math: Integers - Chapter Summary

The lessons in this chapter will teach you about working with integers, or whole numbers, in preparation for the mathematics portion of the Illinois TAP - Test of Academic Proficiency. You'll learn the order of operation and methods of determining factors. These topics are included on the videos as a way to help you get ready for the test:

  • Types of integers
  • Arithmetic with whole numbers
  • Arithmetic calculations with signed numbers
  • Order of operations
  • How to find the prime factorization of a number
  • How to find the greatest common factor
  • How to find the least common multiple

These real world mathematics skills are explained by skilled instructors who know how to prepare you for the TAP test. You'll enjoy learning to solve problems involving integers through these entertaining lessons and the self-assessment quizzes that accompany them.

Objectives of the Illinois TAP Math: Integers Course

Passing the TAP test is required for candidates for Illinois teacher licensing. The TAP contains three sections of multiple-choice questions (170 questions total) and a writing assignment. Questions about integers are part of the mathematics portion of the test, which has 50 questions. You must pass each section. The self-assessment quizzes that are included with these video lessons will enable you to check your mastery of the topic and become familiar with the test's format.

7 Lessons in Chapter 14: Illinois TAP Math: Integers
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.

Arithmetic with Whole Numbers

2. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

Arithmetic Calculations with Signed Numbers

3. Arithmetic Calculations with Signed Numbers

Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.

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

4. 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

5. 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 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!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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