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Real Numbers
. . .
The practical numbers of
everyday life . . .




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Return to Numbers Page Return To "Numbers" click here Real Numbers - Heading

Real Numbers include all numbers whose decimal form can be represented graphically, as a point located on a number line.

Number Line
Number Line

"Real" Numbers do not include imaginary or complex numbers.






Only the following types of numbers are "real" numbers:

Rational Numbers: Rational numbers are numbers which can be represented by a ratio (a fraction).

Fractions

all fractions . . .

Decimals - two separate types of decimals

only terminating and repeating decimals . . .

Natural Numbers (counting numbers).

1, 2, 3, 4, 5, . . .

Whole Numbers (counting numbers plus zero).

0, 1, 2, 3, 4, 5, . . .

Integers (whole numbers plus negative whole numbers).

. . . -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .

Irrational Numbers: Irrational numbers are decimals which are non-terminating and do not have a repeating pattern.

The following examples of "real" numbers are shown on the number line, below:

Rational Numbers - examples:

Fraction

Fraction - one-half

Decimal

-1.5

Natural Number

8

Whole Number

0

Integer

-4

Irrational Number - example

Irrational Number - Pi
Number Line - showing examples Number Line





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