# The Number Line Essay

2404 N GRAND AVENUE

TYLER, TEXAS 75702

DIVISION OF NATURAL & COMPUTATIONAL SCIENCES

MATHEMATICS DEPARTMENT

RESEARCH SEMINAR IN MATHEMATICS

MATH 4460 01

THE NUMBER LINE

BY

George L Williams III

Contents * THE NUMBER LINE

* Extended real number line

* Drawing the number line

* Line segmentation

* Comparing numbers

* Arithmetic Operations

* Arithmetic Operations (cont.)

* Algebraic properties

* Cartesian Plane/Cartesian Coordinate System

* An Overview

* My words

* Applications of the number line

* Resources

*

THE NUMBER LINE

Mathematics is one of the most useful and fascinating divisions of human knowledge. In

*…show more content…*

By measuring successive scale units moving from left to right, starting at 0, we can associate the set of positive integers 1, 2, 3, 4 … with equal spaced points on the line. Moving from right to left, starting at 0, we can associate the set of negative integers -1, -2, -3, -4 … with equal spaced points on the number line. The remaining real numbers can be “located” or “plotted” on the real line by using decimal representations. The number corresponding to a point on the number line is called the coordinate of the point, and the point is called the graph of the number.

2

1

-4

-3

-2

-1

3

4

THE NUMBER LINE

Extended real number line

In mathematics, the affined extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (read as positive infinity and negative infinity respectively). These new elements are real numbers. It is useful in describing various limiting behaviors in calculus and mathematical analysis, especially in the theory of measure and integration. The affined extended real