1. Rational and Irrational Numbers
A rational number can always be written exactly in the form where a and b are integer values.
In other words a rational number can be written as a whole number of fraction
e.g.
 , 1 , ,

2. An irrational number cannot be written in the form
are all irrational numbers.

3. Example
Prove that in an irrational number.

4. Example
Which of the following numbers are rational and which are irrational numbers?
(a)
(b)
(c)
(d)
(e)
(f)
(g)

5. Example
Express the recurring decimal as a fraction in its simplest form.

6. Example
Express the recurring decimal as a fraction in its simplest form.

7. Example
Express the recurring decimal as a fraction in its simplest form.

8. Example
Express the recurring decimal as a fraction in its simplest form.

9. Example
Express the recurring decimal as a fraction in its simplest form.

10. Example
Express the recurring decimal as a fraction in its simplest form.