Question

List five rational numbers between:
(i) –1 and 0
(ii) –2 and –1
(iii)\(\frac{-4}{5} \space and \frac{-2}{3}\)

(iv) \(\frac{-1}{2}\space and \frac{2}{3}\)

Answer 1

(i) –1 and 0
= \(\frac{-1}{10},\frac{-1}{20},\frac{-1}{30},\frac{-1}{40},\frac{-1}{50}\)

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(ii) –2 and –1
\(= -2 = \frac{-12}{6} \space and\)

\(= -1 = \frac{-6}{6}\)

Five rational numbers are
= \(\frac{-11}{6},\frac{-10}{6},\frac{-9}{6},\frac{-8}{6},\frac{-7}{6}\)

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(iii)\(\frac{-4}{5}\space and \frac{-2}{3}\)

= \(\frac{-4}{5}\)

= \(\frac{-4\times9}{5\times9}\)

= \(\frac{-36}{45}\space and\)

= \(\frac{-2}{3}= \frac{-2\times15}{3\times15}\)

= \(\frac{-30}{45}\)

Five rational numbers are
= \(\frac{-35}{45},\frac{-34}{45},\frac{-33}{45},\frac{-32}{45},\frac{-31}{45}\)

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(iv) \(\frac{-1}{2} \space and \frac{2}{3}\)

= \(\frac{1}{2}=\frac{1\times18}{2\times18}\)

= \(\frac{18}{36}\) and

\(\frac{2}{3}=\frac{2\times12}{3\times12}\)

= \(\frac{24}{36}\)
Five rational numbers are

= \(\frac{19}{36},\frac{20}{36},\frac{21}{36},\frac{22}{36},\frac{23}{36}\)