INDEX
Complex Numbers
Exponentiation
Algebraic Transformations
Algebraic Equations and Inequalities
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Numbers and Sets
Balloon

Introduction

About Algebra

Arithmetic Operations

Addition and Subtraction

Multiplication and Division

Criterions for Divisibility

Real Number System

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions

Absolute Values

Graphical Illustrations

Sets and Intervals

Sets

Subsets

Operations with Sets

Intervals



Geometric Interpretation of Real Numbers
Key Topics Remaining: Properties of Real Numbers » Fractions » Absolute Values » Sets » Intervals

The set of all real numbers can be graphically represented by the real number line, that is, a straight line, on which the origin and a scale are chosen.
All positive numbers correspond to points lying to the right of zero. They are ordered, in ascending order from left to right.
All negative numbers are represented by points to the left of zero. They are ordered, in descending order from right to left.
The number zero is neither positive nor negative. It is represented by the intermediate point between positive and negative numbers:

(For animation, put the pointer anywhere around the figure.)

There is one-to-one correspondence between the set of real numbers and points on the number line, that is, every real number corresponds to a unique point on the number line, and vice versa.


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