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Express 0.99999 .... in the form p/q. . ...

Express 0.99999 .... in the form `p/q`. . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.

Text Solution

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`x= 0.99999999........`eqn(1)
multiply by 10
`10x = 9.99999..........` eqn(2)
`eqn (2)-(1):`
`9x = 9`
`x=1`
we are getting one
as, when infinite times 9 comes after0. then, it approx to 1
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