(Untitled)

[nicolyrezk]

1 = 0.999 recurring

Comments

[mr_cullen]

Divide by Zero? D:

I never was good with numbers.

[schivnorr]

Yes. Exactly.

Let x = 0.999 recurring.
Then, 10*x = 9.999 recurring.

10*x - x = 9*x = 9.000 recurring
9*x = 9 implies x = 1.

Don'tcha just love nonunique n-ary representation?

[nicolyrezk]

I do, actually. I used to be a maths geek.

[schivnorr]

High-5! _O/\o_

[nicolyrezk]

To give you an idea of how much of a maths geek I once was, I passed GCSE Maths (Which is at the level of your High School Diploma/GED) when I was 13. o_o;

Maaaaaaaaaaaaaaaaaths

[haggis_bagpipes]

No! 0.999 recurring does not equal 1! It equals 0.999 recurring! The difference is infinitesimal. Haha, see what I did there?

[nicolyrezk]

You're retarded, sir!

[haggis_bagpipes]

constantly!

I think you'll appreciate this.

[haggis_bagpipes]

If a = b = 1

then a2 = ab

so a2 - b2 = ab - b2

and so (a + b) (a - b) = b (a - b)

therefore a + b = b

1 + 1 = 1

2 = 1

Holy shit, let's go through that again, substituting a and b with 1!

If a = b = 1

then 12 = 1x1
(1 = 1)

so 12 - 12 = 1x1 - 12
(1 - 1 = 1 - 1)
(0 = 0)

Aha!

and so (1 + 1) (1 - 1) = 1 x (1 - 1)
(2) x (0) = 1 x (0)
0 = 0

therefore (1 + 1) = 1
What happened between this step and the last one?