Question

Represent each of the following rational numbers on the number line:

(i) $\frac{1}{3}$
(ii) $\frac{2}{7}$
(iii) $\frac{7}{3}$
(iv) $\frac{22}{7}$
(v) $\frac{37}{8}$
(vi) $\frac{-1}{3}$
(vii) $\frac{-3}{4}$
(viii) $\frac{-12}{7}$
(ix) $\frac{36}{-5}$
(x) $\frac{-43}{9}$

Answer 1

(i)


(ii)



(iii) (7/3)=2+(1/3)



(iv)

$\frac{22}{7}$ can be written as $3+\frac{1}{7}$. So, we need to move to the right of point 3. Then, we need to move $\frac{1}{7}$ distance more to the right.




(v) $\frac{37}{8}$ can be written as 4+$\frac{5}{8}$. So, we need to move to the right of point 4. Then, we need to move $\frac{5}{8}$ distance more to the right.




(vi)



(vii)


(viii)

$\frac{-12}{7}$ can be written as $-1-\frac{5}{7}$. So, we need to move to the left of point -1. Then, we need to move $\frac{5}{7}$ distance more to the left.


(ix)

$\frac{36}{-5}$ can be written as $-7-\frac{1}{5}$. So, we need to move to the left of point -7. Then, we need to move $\frac{1}{5}$ distance more to the left.






(x) $\frac{-43}{9}$ can be written as $-4-\frac{7}{9}$. So, we need to move to the left of point -4. Then, we need to move $\frac{7}{9}$ distance more to the left.