Give four rational numbers equivalent to:
(i)\(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
(i)\(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
Solution and Explanation
(i) \(\frac{-2}{7}\)
Four rational numbers are
\(=\frac{-2\times2}{7\times2},\frac{-2\times3}{7\times3},\frac{-2\times4}{7\times4},\frac{-2\times5}{7\times5}\)
\(=\frac{-4}{14},\frac{-6}{21},\frac{-8}{28},\frac{-10}{35}\)
(ii) \(\frac{5}{-3}\)
Four rational numbers are
\(=\frac{5\times2}{-3\times2},\frac{5\times3}{-3\times3},\frac{5\times4}{-3\times4},\frac{5\times5}{-3\times5}\)
\(=\frac{10}{-6},\frac{15}{-9},\frac{20}{-12},\frac{25}{-15}\)
(iii)\(\frac{4}{9}\)
Four rational numbers are
\(=\frac{4\times2}{9\times2},\frac{4\times3}{9\times3},\frac{4\times4}{9\times4},\frac{4\times5}{9\times5}\)
\(=\frac{8}{18},\frac{12}{27},\frac{16}{36},\frac{20}{45}\)
Top Questions on Need For Rational Numbers
- Write the following rational numbers in ascending order:
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(iii) -\(\frac{3}{7}\),-\(\frac{3}{2}\),-\(\frac{3}{4}\)- CBSE Class VII
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(ii) \(\frac{5}{63}\)-(\(-\frac{6}{21}\))
(iii) -\(\frac{6}{13}\)-(-\(\frac{7}{15}\))
(iv) -\(\frac{3}{8}\)-\(\frac{7}{11}\)
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(ii) \(\frac{5}{3}\)+\(\frac{3}{5}\)
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(iv) \(\frac{-3}{-11}\)+\(\frac{5}{9}\)
(v)\(-\frac{8}{19}\)+\(\frac{(-2)}{57}\)
(vi) \(-\frac{2}{3}\)+0
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(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) \(-\frac{32}{7}\),\(-\frac{34}{5}\)- CBSE Class VII
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Questions Asked in CBSE Class VII exam
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(ii) 0.1 × 51.7
(iii) 0.2 × 316.8
(iv) 1.3 × 3.1
(v) 0.5 × 0.05
(vi) 11.2 × 0.15
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(viii) 10.05 × 1.05
(ix) 101.01 × 0.01
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(iv) 30.94 ÷ 0.7
(v) 0.5 ÷ 0.25
(vi) 7.75 ÷ 0.25
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(viii) 37.8 ÷ 1.4
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Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
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(vi) Seven times m plus 7 gets you 77.
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