# Ch 10: MTEL Math: Rational & Irrational Numbers

### About This Chapter

## 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

- MTEL Math: Basic Arithmetic Operations
- MTEL Math: Absolute Value & Integers
- MTEL Math: Fractions
- MTEL Math: Decimals
- MTEL Math: Percents
- MTEL Math: Rates & Ratios
- MTEL Math: Proportions
- MTEL Math: Estimation
- MTEL Math: Origins of Math
- MTEL Math: Complex Numbers
- MTEL Math: Properties of Numbers
- MTEL Math: Exponents & Exponential Expressions
- MTEL Math: Roots & Radical Expressions
- MTEL Math: Scientific Notation
- MTEL Math: Number Theory
- MTEL Math: Number Patterns & Sequences
- MTEL Math: Number Patterns & Series
- MTEL Math: Properties of Functions
- MTEL Math: Graphing Functions
- MTEL Math: Factoring
- MTEL Math: The Coordinate Graph & Symmetry
- MTEL Math: Linear Equations
- MTEL Math: Systems of Linear Equations
- MTEL Math: Vectors, Matrices & Determinants
- MTEL Math: Introduction to Quadratics
- MTEL Math: Working with Quadratic Functions
- MTEL Math: Polynomial Functions Basics
- MTEL Math: Higher-Degree Polynomial Functions
- MTEL Math: Piecewise, Absolute Value & Step Functions
- MTEL Math: Rational Expressions, Functions & Graphs
- MTEL Math: Exponential & Logarithmic Functions
- MTEL Math: Measurement
- MTEL Math: Perimeter & Area
- MTEL Math: Polyhedrons & Geometric Solids
- MTEL Math: Symmetry, Similarity & Congruence
- MTEL Math: Properties of Lines
- MTEL Math: Angles
- MTEL Math: Triangles
- MTEL Math: Triangle Theorems & Proofs
- MTEL Math: Similar Polygons
- MTEL Math: The Pythagorean Theorem
- MTEL Math: Quadrilaterals
- MTEL Math: Circles
- MTEL Math: Circular Arcs & Measurement
- MTEL Math: Analytic Geometry & Conic Sections
- MTEL Math: Polar Coordinates & Parameterization
- MTEL Math: Transformations
- MTEL Math: Data & Graphs
- MTEL Math: Statistics
- MTEL Math: Data Collection
- MTEL Math: Samples & Populations
- MTEL Math: Probability
- MTEL Math: Trigonometric Functions
- MTEL Math: Graphs of Trigonometric Functions
- MTEL Math: Trigonometric Identities
- MTEL Math: Applications of Trigonometry
- MTEL Math: Limits
- MTEL Math: Continuity
- MTEL Math: Rate of Change
- MTEL Math: Derivative Calculations & Rules
- MTEL Math: Graphing Derivatives & L'Hopital's Rule
- MTEL Math: Area Under the Curve & Integrals
- MTEL Math: Integration Techniques
- MTEL Math: Integration Applications
- MTEL Math: Differential Equations
- MTEL Math: Discrete & Finite Math
- MTEL Mathematics Flashcards