Which one is larger?

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 $1$ ?

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1=2? »

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

Which one is larger?

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