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Question
Insert three rational number between:
-5 and -4
Solution
A rational number lying between -5 and -4
= `(-5 + (-4))/(2)`
= `-(9)/(2)`
A rational number lying between -5 and `-(9)/(2)`
= `(-5 + (-9/2))/(2)`
= `(-19/2)/(2)`
= `-(19)/(4)`
A rational number lying between `-(9)/(2)` and -4
= `(-9/2+ (-4))/(2)`
= `(-17/2)/(2)`
= `-(17)/(4)`
`-5 < -(19)/(4) < -(9)/(2) < -(17)/(4) < - 4`
Hence, three rational numbers between -5 and -4 are
`-(19)/(4), -(9)/(2) and -(17)/(4)`.
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