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Question
List five rational numbers between `-1/2 "and" 2/3`.
Solution
`-1/2 "and" 2/3`
Here, writing `-1/2 "and" 2/3` as rational numbers with the same denominator:
`(-1)/2 = (-1xx3)/(2xx3)=(-3)/6` and
`2/3 =(2xx2)/(3xx2)= 4/6`
`(-3)/6 < (-2)/6 < (-1)/6 < 0< 1/6 < 2/6 < 3/6 < 4/6`
`(-1)/2 < (-1)/3 < (-1)/6 <0< 1/6 <1/3 <1/2<2/3`
Therefore, there are five rational numbers between the rational numbers`(-1)/2 "and" 2/3`
`(-1)/3, (-1)/6, 0, 1/6, 1/3`
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