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Question

# Find three rational numbers between the following numbers. (i) $-$0.2 and $-$0.22

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Solution

## $\mathrm{Rational}\mathrm{number}\mathrm{between}-0.2\mathrm{and}-0.22\mathrm{is}\mathrm{given}\mathrm{by}\phantom{\rule{0ex}{0ex}}\frac{-0.2+\left(-0.22\right)}{2}=\frac{-0.42}{2}=-0.21\phantom{\rule{0ex}{0ex}}$ $\mathrm{Rational}\mathrm{number}\mathrm{between}-0.2\mathrm{and}-0.21\mathrm{is}\mathrm{given}\mathrm{by}\phantom{\rule{0ex}{0ex}}\frac{-0.2+\left(-0.21\right)}{2}=\frac{-0.41}{2}=-0.205\phantom{\rule{0ex}{0ex}}$ $\mathrm{Rational}\mathrm{number}\mathrm{between}-0.21\mathrm{and}-0.22\mathrm{is}\mathrm{given}\mathrm{by}\phantom{\rule{0ex}{0ex}}\frac{-0.21+\left(-0.22\right)}{2}=\frac{-0.43}{2}=-0.215\phantom{\rule{0ex}{0ex}}$ Hence, three rational numbers between $-0.2\mathrm{and}-0.22\mathrm{are}-0.205,-0.21\mathrm{and}-0.215$.

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