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 \[\frac{2}{3}\].
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Write four more rational number 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) \[-\frac{2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},\]?? .
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Give four rational numbers equivalent to: (i) \[\frac{-2}{7}\] (ii) \[\frac{5}{-3}\] (iii) \[\frac{4}{9}\]
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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) \[\frac{7}{8}\]
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The points P, Q, R, S, T, U, A and B on this number line are such that, \[TR=RS=SU\]and \[AP=PQ=QB\]. Name the rational number represented by P, Q, R and S.
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Which of the following pairs represent the same 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 \[\frac{5}{-9}\].
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Rewrite the following rational numbers in the simplest form: (i) \[\frac{-8}{6}\] (ii) \[\frac{25}{45}\] (iii) \[\frac{-44}{72}\] (iv) \[\frac{-8}{10}\].
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Fill in the boxes with the correct symbol out of >, < and = (i) \[\frac{-5}{7}\frac{2}{3}\] (ii) \[\frac{-4}{5}\frac{-5}{7}\] (iii) \[\frac{-7}{8}\frac{14}{-16}\] (iv) \[\frac{-8}{5}\frac{-7}{4}\] (v) \[\frac{1}{-3}\frac{-1}{4}\] (vi) \[\frac{5}{-11}\frac{-5}{11}\] (vii) \[0\frac{-7}{6}\]
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Which is grater 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) \[-3\frac{2}{7},-3\frac{4}{5}\].
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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) \[\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}\]
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Find the sum: (i) \[\frac{5}{4}+\left( \frac{-11}{4} \right)\] (ii) \[\frac{5}{3}+\frac{3}{5}\] (iii) \[\frac{-9}{10}+\frac{22}{15}\] (iv) \[\frac{-3}{-11}+\frac{5}{9}\] (v) \[\frac{-8}{19}+\frac{(-2)}{57}\] (v) \[\frac{-8}{19}+\frac{(-2)}{57}\] (vi) \[\frac{-2}{3}+0\] (vii) \[-2\frac{1}{3}+4\frac{3}{5}\]
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Find: (i) \[\frac{7}{24}-\frac{17}{36}\] (ii) \[\frac{5}{63}-\left( \frac{-6}{21} \right)\] (iii) \[\frac{-6}{13}-\left( \frac{-7}{15} \right)\] (iv) \[\frac{-3}{8}-\frac{7}{11}\] (v) \[-2\frac{1}{9}-6\]
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Find the product: (i) \[\frac{9}{2}\times \left( \frac{-7}{4} \right)\] (ii) \[\frac{3}{10}\times -9\] (iii) \[\frac{-6}{5}\times \frac{9}{11}\] (iv) \[\frac{3}{7}\times \left( \frac{-2}{5} \right)\] (v) \[\frac{3}{11}\times \frac{2}{5}\] (vi) \[\frac{3}{-5}\times \frac{-5}{3}\]
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Find the value of: (i) \[-4,\frac{2}{3}\] (ii) \[\frac{-3}{5}\div 2\] (iii) \[\frac{-4}{5}\div -3\] (iv) \[-\frac{1}{8}\div \frac{3}{4}\] (v) \[-\frac{2}{13}\div \frac{1}{7}\] (vi) \[-\frac{7}{12}\div \left( \frac{-2}{13} \right)\] (vii) \[\frac{3}{13}\div \left( \frac{-4}{65} \right)\]
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