Natural numbers are all numbers 1, 2, 3, 4… They are the numbers
you usually count and they will continue on into infinity.
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2,
Integers include all whole numbers and their negative
counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…
All integers belong to the rational numbers. A rational number
is a number
Where a and b are both integers.
The number 4 is an integer as well as a rational number. As it
can be written without a decimal component it belongs to the
integers. It is a rational number because it can be written as:
is a rational number but not an integer.
A rational number written in a decimal form can either be
terminating as in:
Or repeating as in
All rational numbers belong to the real numbers.
If you look at a numeral line
You notice that all integers, as well as all rational numbers,
are at a specific distance from 0. This distance between a number x
and 0 is called a number's absolute value. It is shown with the
If two numbers are at the same distance from 0 as in the case of
10 and -10 they are called opposites. Opposites have the same
absolute value since they are both at the same distance from 0.
Videolesson: Which of these rational numbers