Real Numbers . . . The practical numbers of everyday life . . .
Real Numbers include all numbers whose decimal form can be represented graphically, as a point located on a 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
Decimal
-1.5
Natural Number
8
Whole Number
0
Integer
-4
Irrational Number - example
Number Line
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