Number line
A number line is a line with integers (simply ordinary numbers, ...-3, -2, -1, 0, 1, 2, 3...) on it extending forever in both directions. Usually, zero (0) is placed in the middle of the line. The numbers have an equal space from each other. Other numbers in between the numbers on the line represent rational, irrational, and other types of real numbers.
There is another number line, equally valid and useful, that extends vertically through 0 (the origin) at right angles to our traditional number line and uses imaginary numbers (i). These so-called imaginary numbers extend above and below the traditional number line and are used in very real calculations in many areas of science and technology and also extend in both directions forever (into infinity).
Different forms
A number line is usually drawn as a simple horizontal line. Another form is the helical number line. If the line of numbers is wrapped around a cylinder following an upward helical path, it becomes a helical number line. If the circumference of the cylinder is equal to the length occupied by ten numbers on the number line, it then becomes a decimal helical number line, and the numbers arrange themselves into columns, each number in a particular column having the same number ending.
Number Line Media
The order of the natural numbers shown on the number line
The closed interval [a,b].
A log-log plot of y = x (blue), y = x2 (green), and y = x3 (red).Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1.
The two logarithmic scales of a slide rule
Each set on the real number line has a supremum.
The metric on the real line is absolute difference.
An ε-ball around a number a
The real line can be compactified by adding a point at infinity.
The bijection between points on the real line and vectors
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The ordering on the number line: Greater elements are in direction of the arrow.
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