Question

The points A, B and C represent the rational numbers.

• A. A = $\frac{-1}{2}$ , B = $\frac{3}{4}$, C = $\frac{7}{4}$
• B. A = $\frac{-1}{2}$ , B = $\frac{3}{4}$, C = $\frac{9}{4}$
• C. A = $\frac{-3}{2}$ , B = $\frac{3}{4}$, C = $\frac{9}{4}$
• D. A = $\frac{-1}{4}$ , B = $\frac{3}{4}$, C = $\frac{7}{4}$

Answer 1

The correct option is C

A = $\frac{-3}{2}$ , B = $\frac{3}{4}$, C = $\frac{9}{4}$

In the given numberline, there are four divisions between any two integers. Hence each division represents $\frac{1}{4}$.

Point A lies in the middle of -1 and -2. So it is at $\frac{-3}{2}$.

Point B is the third division between 0 and 1. It is at $\frac{3}{4}$.

Point C is the first division between 2 and 3. It is at $\frac{9}{4}$.