Question

Which rational numbers do point A and point B represent in the below given number line?
(Assume that any two divisions between two integers in the given number line are equal.)

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

Answer 1

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

Point A lies between 0 and 1 and the distance between 0 and 1 is divided into 3 equal parts.
Therefore, the rational number represented by A is,
$0+\frac{1}{3}=\frac{1}{3}$

Point B lies between -1 and -2 and the distance between -1 and -2 is divided into 3 equal parts.

Therefore, the rational number represented by B is,
$(-1)-\left(\frac{1}{3}\right)=\frac{-4}{3}$