Question

Insert 3 equivalent rational numbers between 0 and –10

Answer 1

A rational number exactly halfway between 0 and –10 is 

`(0 + (-10))/2 = (-10)/2 = -5`

Three equivalent rational numbers of –5 are

`(-5 xx 2)/(1 xx 2) = (-10)/2,`

`(-5 xx 3)/(1 xx 3) = (-15)/3,`

`(-5 xx 4)/(1 xx 4) = (-20)/4`

∴ 3 equivalent rational numbers between 0 and –10 are `(-10)/2, (-15)/3, (-20)/4`.