Question

Draw the number line and represent the following rational numbers on it:

(i) $\frac{3}{4}$ (ii) $\frac{-5}{8}$ (iii) $\frac{-7}{4}$ (iv) $\frac{7}{8}$

Answer 1

(i) $\frac{3}{4}$

This fraction represents $3$ parts out of $4$ equal parts. Therefore, each space between two integers on number line must be divided into $4$ equal parts.

$\frac{3}{4}$ can be represented as

(ii) $\frac{-5}{8}$

This fraction represents $5$ parts out of $8$ equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into $8$ equal parts.

$\frac{-5}{8}$ can be represented as

(iii) $\frac{-7}{4}=-1\frac{3}{4}$

This fraction represents $1$ full part and $3$ parts out of $4$ equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into $4$ equal parts.

$\frac{-7}{4}$ can be represented as

(iv) $\frac{7}{8}$

This fraction represents $7$ parts out of $8$ equal parts. Therefore, each space between two integers on number line must be divided into $8$ equal parts.

$\frac{7}{8}$ can be represented as