# Ch 1: Real Numbers - Types and Properties: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school trigonometry work.
- Identify the real numbers: types and properties concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school trigonometry tutoring solution will benefit any student who is trying to learn the types and properties of real numbers and earn better grades. This resource can help students including those who:

- Struggle with understanding rational numbers, the order and absolute value of real numbers, Pythagorean triples, linear equations or any other real numbers topic
- Have limited time for studying
- Want a cost effective way to supplement their trigonometry learning
- Prefer learning trigonometry visually
- Find themselves failing or close to failing their real numbers: types and properties unit
- Cope with ADD or ADHD
- Want to get ahead in high school trigonometry
- Don't have access to their trigonometry teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about the types and properties of real numbers simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live high school trigonometry tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about real numbers on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Explore different types of numbers
- Learn to graph rational numbers on a number line
- Find out how fractions become decimals and vice versa
- Discuss inequalities and the symbols used to represent them
- Study absolute value of real numbers
- Learn about the multiplication property of zero
- Explore the commutative and associative properties
- Study algebraic and transcendental 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.

### 2. 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.

### 3. 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.

### 4. The Order of Real Numbers: Inequalities

An inequality is an operation describing how one number can be compared to another. This lesson will describe and define inequalities and the symbols used to represent them. It will also give some examples on how to work with inequalities.

### 5. Finding the Absolute Value of a Real Number

You can find the absolute value of any real number. This lesson will define absolute value, explain what real numbers are and give the steps to finding the absolute value of any real number.

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

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

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

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

### 8. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

### 9. Algebraic Numbers and Transcendental Numbers

Math is all about numbers. In this lesson, you'll learn about the two different categories of numbers, called algebraic and transcendental. You'll learn the definition of each type and find out how common each of them is.

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### Other Chapters

Other chapters within the High School Trigonometry: Tutoring Solution course

- Working with Linear Equations in Trigonometry: Tutoring Solution
- Working with Inequalities in Trigonometry: Tutoring Solution
- Absolute Value Equations in Trigonometry: Tutoring Solution
- Working with Complex Numbers in Trigonometry: Tutoring Solution
- Systems of Linear Equations in Trigonometry: Tutoring Solution
- Mathematical Modeling in Trigonometry: Tutoring Solution
- Introduction to Quadratics in Trigonometry: Tutoring Solution
- Working with Quadratic Functions in Trigonometry: Tutoring Solution
- Coordinate Geometry Review: Tutoring Solution
- Functions for Trigonometry: Tutoring Solution
- Understanding Function Operations in Trigonometry: Tutoring Solution
- Graph Symmetry in Trigonometry: Tutoring Solution
- Graphing with Functions in Trigonometry: Tutoring Solution
- Basic Polynomial Functions in Trigonometry: Tutoring Solution
- Higher-Degree Polynomial Functions in Trigonometry: Tutoring Solution
- Rational Functions in Trigonometry: Tutoring Solution
- Rational Expressions & Function Graphs in Trigonometry: Tutoring Solution
- Exponential & Logarithmic Functions in Trigonometry: Tutoring Solution
- Trigonometric Functions: Tutoring Solution
- Geometry in Trigonometry: Tutoring Solution
- Triangle Trigonometry: Tutoring Solution
- Working with Trigonometric Graphs: Tutoring Solution
- Trigonometric Equations: Tutoring Solution
- Working with Trigonometric Identities: Tutoring Solution
- Applications of Trigonometry: Tutoring Solution
- Analytic Geometry & Conic Sections in Trigonometry: Tutoring Solution
- Vectors, Matrices & Determinants in Trigonometry: Tutoring Solution
- Polar Coordinates & Parameterizations: Tutoring Solution
- Circular Arcs, Circles & Angles: Tutoring Solution