NCERT Solutions for Class 7 Clat Chapter 9 Rational Numbers

List five rational numbers between:

(i) − 1 and 0 (ii) − 2 and − 1

(iii) $\frac{-4}{5} \mathrm{and} \frac{-2}{3}$ (iv) $\frac{1}{2} \mathrm{and} \frac{2}{3}$

Write four more rational numbers in each of the following patterns:

(i) $\frac{-3}{5},\frac{-6}{10},\frac{-9}{15},\frac{-12}{20},.......$ (ii) $\frac{-1}{4},\frac{-2}{8},\frac{-3}{12},......$

(iii) $\frac{-1}{6},\frac{2}{-12},\frac{3}{-18},\frac{4}{-24},....$ (iv) $\frac{-2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},.....$

Give four rational numbers equivalent to:

(i) $\frac{-2}{7}$ (ii) $\frac{5}{-3}$ (iii) $\frac{4}{9}$

Draw the number line and represent the following rational numbers on it:

(i) $\frac{3}{4}$ (ii) $\frac{-5}{8}$

(iii) $\frac{-7}{4}$ (iv) $\frac{7}{8}$

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.

Which of the following pairs represent the same rational number?

(i) $\frac{-7}{21}and \frac{3}{9}$ (ii) $\frac{-16}{20}and\frac{20}{-25}$ (iii) $\frac{-2}{-3}\mathrm{and}\frac{2}{3}$

(iv) $\frac{-3}{5} \mathrm{and} \frac{-12}{20}$ (v) $\frac{8}{-5} \mathrm{and} \frac{-24}{15}$ (vi) $\frac{1}{3}\mathrm{and}\frac{-1}{9}$

(vii) $\frac{-5}{-9}\mathrm{and}\frac{5}{-9}$

Rewrite the following rational numbers in the simplest form:

(i) $\frac{-8}{6}$ (ii) $\frac{25}{45}$

(iii) $\frac{-44}{72}$ (iv) $\frac{-8}{10}$

Fill in the boxes with the correct symbol out of >, <, and =

(i) $\frac{-5}{7}\square \frac{2}{3}$ (ii) $\frac{-4}{5}\square \frac{-5}{7}$ (iii) $\frac{-7}{8}\square \frac{14}{-16}$

(iv) $\frac{-8}{5}\square \frac{-7}{4}$ (v) $\frac{1}{-3}\square \frac{-1}{4}$ (vi) $\frac{5}{-11}\square \frac{-5}{11}$

(vii) $0\square \frac{-7}{6}$

Which is greater in each of the following?

(i) $\frac{2}{3},\frac{5}{2}$ (ii) $\frac{-5}{6},\frac{-4}{3}$ (iii) $\frac{-3}{4},\frac{2}{-3}$

(iv) $\frac{-1}{4},\frac{1}{4}$ (v) $-3\frac{2}{7},-3\frac{4}{5}$

Write the following rational numbers in ascending order:

(i) $\frac{-3}{5},\frac{-2}{5},\frac{-1}{5}$ 

(ii) $\frac{-1}{3}, \frac{-2}{9}, \frac{-4}{3}$ 

(iii) $\frac{-3}{7}, \frac{-3}{2}, \frac{-3}{4}$