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Express 0.999999.... in the form p/q . Are you surprised by your answer ? With your teacher and classmates discuss why the answer makes sense ?
Let x = 0.9999... ...(i)
Multiplying eq. (i) by 10
10x = 9.9999... ...(ii)
Subtracting eq. (i) from (ii), we get
9x = 9
x = 9/9 = 1
Hence, 0.9999... = 1
Yes, we are surprised to get an integer 1, because after decimal, 9 is repeatedly infinitely and
this will tend to an integer.
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