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 , 5.14 , 0.3333.....

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

Example Prove that in an irrational number.

Example Which of the following numbers are rational and which are irrational numbers? (a) (b) (c) 3.17 (d) (e) (f) (g)

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

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

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

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

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

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