1.

List five rational numbers between: (i) `-1 and 0` (ii) `-2 and -1` (iii) `(-4)/5 and (-2)/3` (iv) `- 1/2 and 2/3`

Answer» (i) `-1 and 0`
`-1/2, -2/3,-3/4 , -5/7 , -9/13`
(ii) `-2 and -1`
`-20/10 and -10/10`
`-19/10, -18/10, -16/10, -14/10, -12/10`
(iii) `-4/5 and -2/3`
`(-4 xx 6)/(5 xx 6) = -24/30 `
`(-2 xx 10)/(3 xx 10) = -20/30`
`-21/30 , -22/30 , -23/30, -45/60 , -43/60`
(iv) `-1/2 and 2/3`
`= -1/2 xx 3/3 = -3/6`
`2/3 xx 2/2 = 4/6`
`-2/6, -1/6 , 1/6 , 2/6 ,3/6`
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