Question

On the number line given below, which rational numbers are indicated by the points B, E and C?
Also, compare them by making their denominators equal.

• A. B = $\frac{-3}{2}$, E = $\frac{-5}{2}$ and C = $\frac{7}{2}$
• B. B = $\frac{-5}{2}$, E = $\frac{-3}{4}$ and C = $\frac{7}{4}$
• C. B = $\frac{-5}{2}$, E = $\frac{-3}{2}$ and C = $\frac{7}{2}$
• D. B = $\frac{-10}{4}$, E = $\frac{-3}{2}$ and C = $\frac{7}{4}$

Answer 1

The correct option is D B = $\frac{-10}{4}$, E = $\frac{-3}{2}$ and C = $\frac{7}{4}$

In the above number line,

Point B lies between -2 and -3.
Each unit on the number line is divided into 4 parts.
Between -2 and -3, the number line is divided into 4 parts.
Point B lies on the 10th point from zero towards the negative side of the number line.
$\therefore$ Point B represents $\frac{-10}{4}$, which is equal to $\frac{-5}{2}$.
$\therefore$ Point B represents $\frac{-5}{2}$ on the above number line.

Similarly, Point E lies between -1 and -2.
Each unit on the number line is divided into 4 parts.
Between -1 and -2, the number line is divided into 4 parts.
Point E lies on the 6th point from zero towards the negative side of the number line.
$\therefore$ Point E represents $\frac{-6}{4}$, which is equal to $\frac{-3}{2}$.
$\therefore$ Point E represents $\frac{-3}{2}$ on the above number line.

Now, Point C lies between 1 and 2.
Each unit on the number line is divided into 4 parts.
Between 1 and 2, the number line is divided into 4 parts.
Point C lies on the 7th point from zero towards the positive side of the number line.
$\therefore$ Point C represents $\frac{7}{4}$ on the above number line.

$\therefore$ B = $\frac{-5}{2}$, E = $\frac{-3}{2}$ and C = $\frac{7}{4}$

$\therefore$ B = $\frac{-10}{4}$, E = $\frac{-3}{2}$ and C = $\frac{7}{4}$