Arithmetic/Types of Numbers

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We can classify numbers into several different kinds.

Contents

[edit] Natural number

The natural numbers are those that children first learn about, the positive whole numbers used for counting, i.e. 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38.....

[edit] Whole number

A whole number is a number that is either a natural number or zero.

[edit] Integer

An integer expands the set of whole numbers by including numbers less than zero (or negative numbers). Thus integers are the numbers ...-2, -1, 0, 1, 2...

[edit] Negative Numbers

Any value less than 0. This is represented by a - sign on the left side of the value.

Examples:

...,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1

-1/2

-0.000000423423234

[edit] Rational number

A rational number is a number which can be written in the form of one integer divided by another or a/b where b ≠ 0. For technical purposes, a and b must be relatively prime (only common factor between a and b is 1). Note that all integers are rational since they can all be expressed as the integer divided by one.

[edit] Irrational number

An irrational number is a number which is not a rational number. Examples of irrational numbers include \sqrt{2} and π.

[edit] Real number

Real numbers include all rational and irrational numbers. The real numbers form the continuous 'real line' of numbers.

[edit] Complex number

Complex numbers are of the following form: z = a + bi where: a and b are real numbers and i is the 'imaginary unit' \sqrt{-1}.