Puzzle « I.M.Possible

5Mar/100

Which one is larger?

Between these two numbers, which one is larger? $0.99999\ldots$ or $1$ ?
At a quick glance, most people will say that $1$ is larger than $0.99999\ldots$

However, consider the following:
Let,
$x=0.99999\ldots$

Now,
$10x = 9.99999\ldots$
$10x = 9 + x$

By a simple algebra, we can find that
$x = 1$

It means that $x=0.99999\ldots=1$

Can anyone explain this? Does $0.99999\ldots$ really equal to $1$ ?

Tagged as: Mathematics, Puzzle No Comments

4Mar/104

1=2?

I just found this old-time mathematical riddle again in some forum.

$x^2 - x^2 = x^2 - x^2$
$x(x-x) = (x+x) (x-x)$
$x = x+x$
$1x = 2x$
$1 = 2$

One is equal to two?! That's totally absurd.
Can you can spot the mistakes?

Tagged as: Mathematics, Puzzle 4 Comments

I.M.Possible What is impossible with men is possible with God

Which one is larger?

1=2?

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