DAV Class 7 Maths Chapter 1 HOTS
Rational Numbers HOTS
(a)
The points P, Q, R, S, T, U, A and B are on the number line representing integers such that-
TR = RS = SU and AP = PQ = QB
Locate and write the rational numbers represented by the points P, Q, R, and S.
Solution
\[ \begin{align*} AP = PQ = QB \implies \text{The line segmant is divided into three equal parts}\\ TR = RS = SU \implies \text{The line segmant is divided into three equal parts}\\ \end{align*} \]
\[ \begin{align*} P = \frac{7}{3} \quad , \quad Q = \frac{8}{3} \\ \\ R = \frac{-4}{3} \quad ,\quad S = \frac{-5}{3} \\ \\ \end{align*} \]