Question

Question 5
The points P, Q R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S

Answer 1

Each part which is between the two numbers is divided into 3 parts
Therefore, $A=\frac{6}{3},P=\frac{7}{3},Q=\frac{8}{3}andB=\frac{9}{3}$
Similarly $T=\frac{-3}{3},R=\frac{-4}{3},S=\frac{-5}{3}andU=\frac{-6}{3}$
Thus, the rational numbers represented P, Q, R and S are $\frac{7}{3},\frac{8}{3},\frac{-4}{3}and\frac{-5}{3}$
respectively.