Question

Insert three rational number between:

-5 and -4

Answer 1

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)`.