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}

Answers (1)

We have the pattern:

\frac{-3}{5} = \frac{-3\times1}{5\times1}           \ \frac{-6}{10} = \frac{-3\times2}{5\times2}              \frac{-9}{15} = \frac{-3\times3}{5\times3}               \frac{-12}{20} = \frac{-3\times4}{5\times4}

Now, following the same pattern, we have

\frac{-3\times5}{5\times5} = \frac{-15}{25}        \frac{-3\times6}{5\times6} = \frac{-18}{30}            \frac{-3\times7}{5\times7} = \frac{-21}{35}              \frac{-3\times8}{5\times8} = \frac{-24}{40}

Hence, the required rational numbers are:

\frac{-15}{25},\ \frac{-18}{30},\ \frac{-21}{35},and\ \frac{-24}{40}.

 

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