1. What is π ?
Rational Number….. ?
or
Irrational Number…..?

3. Rational Numbers
 The word comes from "ratio" .
 Any number that can be made by dividing
one integer by another.
OR
 A rational number is a number that can
be written as a simple fraction like …a/b

4. Examples
 1/2 is a rational number (1 divided by 2, or
the ratio of 1 to 2)
 0.75 is a rational number (3/4)
 1 is a rational number (1/1)
 2 is a rational number (2/1)
 2.12 is a rational number (212/100)
 -6.6 is a rational number (-66/10)

5. Irrational Numbers
 An irrational number cannot be
expressed as a fraction.
 Irrationalnumbers cannot be represented
as terminating or repeating decimals.
So Irrational numbers are non-
terminating, non-repeating decimals.

7.  As you know the number for
Pi ( π) continues and
constantly changes.
This means we cannot write
a definite ratio to express
this change as a proportion
to its whole.
.

8. However, there does exist a fraction which is similar
to Pi ( π ) i.e. 22 / 7
After further research it has discovered that there
are several fractions which are similar to Pi.
However these are approximations.
Besides 22/7, 355/113 is also close.
However at some ‘ n ‘number of decimals these
fractions diverge from the actual value of PI.
Thus Pi is irrational

9. Many of you, think that π is the
terminating decimal, 3.14, but it is
not. Yes, certain math problems ask
you to use π as 3.14, but that
problem is rounding the value of π
to make your calculations easier. π
is actually a non-ending decimal
and is an irrational number.

10. GOT IT !