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Question
Insert three rational numbers between:
0 and 1
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Solution
A rational number lying between 0 and 1
= `(0 + 1)/(2)`
= `(1)/(2)`
A rational number lying between 0 and `(1)/(2)`
= `(0 + 1/2)/(2)`
= `(1)/(4)`
A rational number lying between 0 and `(1)/(4)`
= `(0 + 1/4)/(2)`
= `(1)/(8)`
`0 < (1)/(8) < (1)/(4) < (1)/(2) < 1`
Hence, three rational numbers between 0 and 1 are
`(1)/(8), (1)/(4) and (1)/(2)`.
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