Science Memes

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I just cited myself. (mander.xyz)

submitted 6 months ago by [email protected] to c/[email protected]

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[–] [email protected] 93 points 6 months ago* (last edited 6 months ago) (44 children)

x=.9999...

10x=9.9999...

Subtract x from both sides

9x=9

x=1

There it is, folks.

[–] Shampiss 23 points 6 months ago (14 children)

Divide 1 by 3: 1÷3=0.3333...

Multiply the result by 3 reverting the operation: 0.3333... x 3 = 0.9999.... or just 1

0.9999... = 1

[+] [email protected] -20 points 6 months ago (3 children)

In this context, yes, because of the cancellation on the fractions when you recover.

1/3 x 3 = 1

I would say without the context, there is an infinitesimal difference. The approximation solution above essentially ignores the problem which is more of a functional flaw in base 10 than a real number theory issue

[–] Shampiss 23 points 6 months ago* (last edited 6 months ago) (1 children)

The context doesn't make a difference

In base 10 --> 1/3 is 0.333...

In base 12 --> 1/3 is 0.4

But they're both the same number.

Base 10 simply is not capable of displaying it in a concise format. We could say that this is a notation issue. No notation is perfect. Base 10 has some confusing implications

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