Class 7, Maths, Chapter 9, Exercise 9.1 Solutions
Q.1. List five rational numbers between:
(i) -1 and 0
(ii) -2 and -1
(iii) $\frac{-4}{5}\,\,and\,\,\frac{-2}{3}$
(iv) $\frac{-1}{2}\,\,and\,\,\frac{2}{3}$
Q.2. 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) $\frac{-2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},…….$
Q.3. Give four rational numbers equivalent to:
(i) $\frac{-2}{7}$
(ii) $\frac{5}{-3}$
(iii) $\frac{4}{9}$
Q.4. Draw the number line and represent the following rational numbers on it:
(i) $\frac{3}{4}$
(ii) $\frac{-5}{8}$
(iii) $\frac{-7}{8}$
(iv) $\frac{7}{8}$
Q.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
Q.6. 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) $\frac{-2}{-3}\,\,and\,\,\frac{2}{3}$
(iv) $\frac{-3}{5}\,\,and\,\,\frac{-12}{20}$
(v) $\frac{8}{-5}\,\,and\,\,\frac{-24}{15}$
(vi) $\frac{1}{3}\,\,and\,\,\frac{-1}{9}$
(vii) $\frac{-5}{-9}\,\,and\,\,\frac{5}{-9}$
Q.7.Rewrite the following rational numbers in the simplest form:
(i) $\frac{-8}{6}$
(ii) $\frac{25}{45}$
(iii) $\frac{-44}{72}$
(iv) $\frac{-8}{10}$
Q.8.Fill in the boxes with the correct symbol out of >, <, and =.
(i) $\frac{-5}{7}\,\,\left[ {} \right]\,\,\frac{2}{3}$
(ii) $\frac{-4}{5}\,\,\left[ {} \right]\,\,\frac{-5}{7}$
(iii) $\frac{-7}{8}\,\,\left[ {} \right]\,\,\frac{14}{-16}$
(iv) $\frac{-8}{5}\,\,\left[ {} \right]\,\,\frac{-7}{4}$
(v) $\frac{1}{-3}\,\,\left[ {} \right]\,\,\frac{-1}{4}$
(vi) $\frac{5}{-11}\,\,\left[ {} \right]\,\,\frac{-5}{11}$
(vii) $0\,\,\left[ {} \right]\,\,\frac{-7}{6}$
Q.9. 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) $-3\frac{2}{7},-3\frac{4}{5}$
Q.10. 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) $\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$
