Order of Rational Numbers

Counting Numbers are the natural counting numbers

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

It does NOT include zero.

Includes any POSITIVE numbers that do not have a remainder

DOES NOT INCLUDE INTEGERS

Rational Numbers include all Integers(positive and negative)

Rational numbers include any number that can be written as a fraction.

It includes Decimal that end or repeat.

It does NOT include decimals that have no pattern and go on forever such as pi=3.14159265....................

Does NOT INCLUDE ANY RATIONAL NUMBERS

Only includes decimals that are real, but do not repeat.

It includes any decimal that does not repeat a pattern and goes on forever.