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User Name: storyteller
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Joined: Saturday, January 26, 2013
Last Visit: Saturday, January 26, 2013 12:07:10 PM
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Topic: Math
Posted: Saturday, January 26, 2013 12:07:10 PM
Actually, 3.333... * 3 = 10 = 9.999...

The reason is simple,

1/3 = .333... correct?

and 1/3 * 3 = 1

Thus 1/3 * 3 = .333... * 3 = 1

And therefore 10/3 * 3 = 3.333... * 3 = 10.

I find this strange also, but due to the axioms that math is based on, this necessarily must be the case. The one I am thinking of says that for any number, there is precisely one other number that operates as it's inverse. By inverse I mean that if you have 4, then 1/4 is it's inverse since 4*(1/4) = 1. And so 3 must have only one inverse also, which can be represented in various ways, the two we've discussed being 1/3 and .333...

It's also very important to hold in your mind that .333... =/= .333

.333 can be represented as a fraction, .333 = 333/1000
Just as .333... can be 1/3, but they are not the same number.

I think the whole thing is most confusing because due to constraints on the human mind we have trouble really understanding a number that repeats forever.