Wednesday, April 18, 2012

Mathematical Puzzle


a = 0.99999...
10a = 9.99999...
10a = 9 + 0.99999...
10a = 9 + a
9a = 9
a = 1
1 = 0.99999... !!!



Actually, there is no discrepancy.

Although the above proof lacks
mathematical vigour, but ...

In mathematics, the repeating decimal 0.99999...
can be shown to be equal to the number 1.

In other words, the symbols 0.99999... and 1
represent the same number.

Refer Wikipedia:  http://en.wikipedia.org/wiki/0.999


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