Question

Represent $\frac{13}{3}$ and $-\frac{13}{3}$ on number line.

Answer 1

Draw a line l and mark zero on it
$\frac{13}{3}=4\frac{1}{3}=4+\frac{1}{3}$ and $\frac{-13}{3}=-(4+\frac{1}{3})$
Therefore, from $O$ mark $OA,AB,BC,CD$ and $DE$ to the right of O such that,
$OA=AB=BC=CD=DE=1unit$.
Clearly,
Point $A,B,C,D,E$ represents the Rational numbers $1,2,3,4,5$ respectively.
Since, we have to consider $4$ complete units and a part of the fifth unit, therefore divide the fifth unit $DE$ into $3$ equal parts. Take $1$ part out of these $3$ parts. Then point $P$ is the representation of number $\frac{13}{3}$ on the number line. Similarly, take $4$ full unit lengths to the left of $0$ and divide the fifth unit $D^{\prime }{E}^{\prime }$ into $3$ equal parts. Take $1$ part out of these three equal parts. Thus, $P^{\prime }$ represents the rational number $-\frac{13}{3}$