Question

Which rational numbers on the number line are represented by points A and B?

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

Answer 1

The correct option is B A = $\frac{1}{3}$ , B = $\frac{-4}{3}$

A lies between $0$ and 1. The segment is divided into 3 parts. The rational number that A represents is
$0+\frac{1}{3}=\frac{1}{3}$

B lies between -1 and -2. The segment is divided into 3 parts. The rational number that B represents is
-1 + $\frac{-1}{3}$ $=$ $\frac{-4}{3}$
Hence, the rational number that A and B represents are $\frac{1}{3}$ and $\frac{-4}{3}$ respectively.