The
set of real numbers consists of the set of rational numbers and
the set of irrational numbers. The set of rational numbers has
several subsets of numbers: the natural numbers, the whole numbers,
the integers and the rationals.
Overview
of the Real Number System
NATURAL NUMBERS
The set of natural numbers are the counting numbers
(1, 2, 3, ...…)
and is the first set of numbers that children learn. The set of natural
numbers is denoted .
Even
& odd numbers
WHOLE NUMBERS
The set of whole numbers contains the set of natural numbers and
the number zero.
Zero
snack activity Whole
number movie
INTEGERS
The set of integers contains the set of whole numbers and their negatives
( ..., 2, 1, 0, 1, 2, 3, ... ). The set of integers is denoted Z
.
RATIONAL NUMBERS
The set of rational numbers contains all the possible ratios of
two integers a/b where b is not zero. The set of rational numbers
is denoted .
Rational
numbers
IRRATIONAL NUMBERS
The set of irrational numbers
contains all the numbers which are not rational numbers. The most famous
examples are and e.
Note that all real numbers are either rational or irrational.
Irrational
numbers
