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Ch 13: TACHS: Irrational & Rational Numbers

About This Chapter

Reinforce and expand your knowledge of rational and irrational numbers with this chapter of our TACHS test prep course. As you work your way through the videos, you can gain the skills you will need to approach the TACHS test with confidence.

TACHS: Irrational & Rational Numbers - Chapter Summary

Before you take the TACHS test, let our instructors guide you through this chapter on how to write, work with, and graph rational and irrational numbers. The following information is presented in these short video lessons:

  • Understanding rational and irrational numbers
  • Graphing and notation of rational numbers
  • Operations with rational numbers; finding absolute value

We coordinate our video lessons, full written transcripts and quizzes so that you can easily refer from one to another. Key terminology and vocabulary words are highlighted for quick reference, and you can test your knowledge with the quizzes you'll find at the end of each lesson. Track your progress, check your memory and polish your abilities using this multi-pronged approach so that you make the very most of your study time.

TACHS: Irrational & Rational Numbers Objectives

In order for you to qualify for admission into many Catholic high schools, you must first take and pass the TACHS. The lessons in this chapter will help you prepare for the mathematics subtest, which accounts for 50% of the overall score.

The TACHS is composed of four subtests. These are reading, language arts, mathematics and general reasoning. It is a paper-based exam with 200 questions, all of which are multiple-choice. Of the list of possible responses shown below each question, you must choose the correct one.

6 Lessons in Chapter 13: TACHS: Irrational & Rational Numbers
What are Irrational Numbers? - Definition & Examples

1. What are Irrational Numbers? - Definition & Examples

Irrational numbers may not be crazy, but they do sometimes bend our minds a little. Learn about common irrational numbers, like the square root of 2 and pi, as well as a few others that businessmen, artists, and scientists find useful.

What are Rational Numbers? - Definition & Examples

2. What are Rational Numbers? - Definition & Examples

In this lesson, we will learn about rational numbers and their characteristics. We'll discover what they are, what they aren't and how to distinguish them from other types of numbers.

Graphing Rational Numbers on a Number Line

3. 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.

Notation for Rational Numbers, Fractions & Decimals

4. Notation for Rational Numbers, Fractions & Decimals

How do fractions become decimals? And how do decimals become fractions? In this lesson, we'll learn about the notation of rational numbers, fractions and decimals and learn how they're related.

Adding & Subtracting Rational Numbers

5. Adding & Subtracting Rational Numbers

After watching this video lesson, you will be able to add and subtract rational numbers like a pro. Learn what is involved in adding and subtracting these types of numbers.

Finding the Absolute Value of a Rational Number

6. Finding the Absolute Value of a Rational Number

Watch this video lesson and you will learn how to deal with absolute values of simple numbers and more complex problems. Learn the order in which you should do calculations so that your answers are correct.

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