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Question
Insert 3 equivalent rational numbers between 0 and –10
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Solution
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`.
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