10 X = 9.99999...
btract (1) from (2)
9x = 9 or x=1
Thus,
0.9 = 1
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hope it helps u dear
Explain why 0.999... = 1 ?
I'm not discussing about the proof, but about why.
0. n 99...99
=9 k=1∑n 10 −k =1−10 −n .
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After my research tonight, I can explain my own question. Let's see this.
base 11 or unary => I.III... = II.I.III...=II.
base 22 or binary => 0.111... = 01.000...0.111...=01.000...
base 33 or ternary => 0.222... = 01.000...0.222...=01.000...
base 44 or quaternary => 0.333... = 01.000...0.333...=01.000...
base 55 or quinary => 0.444... = 01.000...0.444...=01.000...
...
base 1010 or decimal => 0.999... = 01.000...0.999...=01.000...
...
base 1616 or hexadecimal => 0.FFF... = 01.000...0.FFF...=01.000...
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