Math, asked by MohammedAdin1, 1 year ago

express 0.99999.... in the foem of p/q

Answers

Answered by Abhinav99999
7
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Answered by DaIncredible
4
Hey friend,
Here is the answer you were looking for:
let \: the \: 0.9999 ... \:  = x \\  \\ x = 0.9999...  \:  \: (1)\\  \\ 10x = 9.9999.... \:  \:  (2)\:  \: (adding \: 10 \: to \: both \: sides) \\  \\ subtracting \: (1)equation \: from \: (1) \\ we \: get \\  \\ 10x - x = 9.9999... - 0.9999... \\  \\ 9x = 9 \\  \\ x =  \frac{9}{9}  \: (is \: the \: answer) \\ or \: we \: can \: cancel \: it \\  \\ x = 1

Hope this helps!!!!!

@Mahak24

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