Question

$\frac{22}{7}$ is a rational number but pi is an irrational number. Comment on this. [3 MARKS]

Answer 1

Why $\frac{22}{7}$ rational : 1 Mark
Why π irrational : 2 Marks

$\frac{22}{7}$ is a rational number because we can write it in a form of $\frac{p}{q}$.

Whereas, the actual value of π is 3.141516........ which implies that there is no end to the values after decimal, hence we are not able to find the actual value of π therefore we can't represent it on a number line and moreover we can't represent it in the form of p/q, that's why it is an irrational number.