Write the following in decimal form and say what kind of decimal expansion each has :

$(i)$ $\frac{36}{100}$

$(ii)$ $\frac{1}{11}$

$(iii)$ $4 \frac{1}{8}$

$(iv)$ $\frac{3}{13}$

$(v)$ $\frac{2}{11}$

$(vi)$ $\frac{329}{400}$

State whether the following statements are true or false. Justify your answers.

$(i)$ Every irrational number is a real number.

$(ii)$ Every point on the number line is of the form $\sqrt m$ , where $m$ is a natural number.

$(iii)$ Every real number is an irrational number.

Express $0.99999 \ldots$ in the form $\frac{p}{q}$. Are you surprised by your answer ? With your teacher and classmates discuss why the answer makes sense.

Represent $ \sqrt{9.3}$ on the number line.

Is zero a rational number ? Can you write it in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \ne 0$ ?

Find six rational numbers between $3$ and $4$.