Hi
I am going to show you special number sets
one of the special number sets is
the real numbers the real numbers
R  is the set of
all real numbers which are all
numbers which can be placed on the
number line
like this number
we divide the real numbers
to two sets rational number and
irrational numbers, rational numbers
q is the set of all rational numbers
or numbers which can be written in the
form
p over q where p and q
are integers and q unequal 0.
some examples of rational numbers
like 16 minus 8 , fraction 1 over 2
terminating decimal 1.33
so R divided to irrational numbers
and rational numbers
the integer numbers is subset
of rational numbers 
Z is the set of all integer numbers
R divided to irrational numbers
Q' and rational numbers Q
and Z is subset of rational numbers
and N is subset of integer numbers
and N is the set of all numbers
or count numbers
R divided to Q' and Q
Q is rational numbers and
Z is integer numbers
and Z is subset of Q
N the natural numbers
is subset of z . what is Q'?
Q' irrational numbers irrational numbers
cannot written in the form
p over q where p and q
are integers and q unequal
0 like square root for 3 or pi or e
This diagram can show you the
relation between
special number sets for example natural
numbers subset of integer numbers and
integer numbers subset of rational
numbers
and rational numbers in the irrational
numbers
are subset of real
numbers and you can complete this
diagram
by different numbers and put the correct
number
in the correct circle thank you
