Ch 10: MTEL Math: Rational & Irrational Numbers

About This Chapter

Refamiliarize yourself with fractions, decimals and rational numbers using the lessons in this chapter. Let the Rational & Irrational Numbers chapter of our MTEL Math test prep study guide become part of your study strategy for the MTEL Math exam.

MTEL Math: Rational & Irrational Numbers - Chapter Summary

Review the fundamentals of operations, ordering and notation of rational and irrational numbers with these video lessons. The videos contain the following information:

  • Definition and examples of rational and irrational numbers
  • How to compare, order and graph rational numbers on a number line
  • How to find absolute value of a rational number
  • Operations with rational numbers
  • How to write fractions, decimals and rational numbers

This study guide is designed to enable you to study selectively, efficiently and effectively. Our video lessons never last more than ten minutes, so you move through them rapidly. The timeline feature allows instant access to any segment of a video, so there is no need to replay a lesson from the beginning. These features allow you to maximize your time, and by recording your progress on your dashboard, you always know immediately where you stand.

MTEL Math: Rational & Irrational Numbers Chapter Objectives

The objective of the MTEL Mathematics exam is to examine and evaluate the content-area expertise of teacher candidates as part of the teacher certification and endorsement process. Each candidate's performance is measured against a state-established set of criteria rather than against the performance of other candidates. There are five subareas from which the multiple-choice questions are drawn and a sixth that contains the two open-ended response items required on the exam. This chapter aligns with Subarea I: Number Sense and Operations. This subarea contains about 16 questions and accounts for 12% of the test.

There are 100 multiple-choice questions for you to answer on the MTEL Mathematics exam. The remaining two assignments are open-ended response items. They will require you to compose a written response related to a given topic which may be drawn from any of the other subareas. You must answer both of the open-ended questions with responses that will meet the length requirement of 150 to 300 words. The MTEL Mathematics test is a computer-based exam.

8 Lessons in Chapter 10: MTEL Math: Rational & Irrational Numbers
Test your knowledge with a 30-question chapter practice test
What are Rational Numbers? - Definition & Examples

1. 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.

What are Irrational Numbers? - Definition & Examples

2. 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.

Comparing & Ordering Rational Numbers

3. Comparing & Ordering Rational Numbers

After watching this video lesson, you will be able to look at any rational number and compare it with any other rational number. Learn what you need to do so that you know which number is greater or lesser than another.

Graphing Rational Numbers on a Number Line

4. 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.

Finding the Absolute Value of a Rational Number

5. 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.

Adding & Subtracting Rational Numbers

6. 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.

Multiplying & Dividing Rational Numbers

7. Multiplying & Dividing Rational Numbers

After watching this video lesson, you will know how to multiply and divide rational numbers. You will know when you need to flip your number and when you don't.

Notation for Rational Numbers, Fractions & Decimals

8. 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.

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 MTEL Mathematics (09): Practice & Study Guide course

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