0.9999.... = 1.0

[Soleron]

SuperMarioWorld said:

Jay520 said:

SuperMarioWorld said:

now do it for 1/8.

it will only work if x is a positive integer or x is 1/9. there is your flaw. therefore you just prooved 0.999999 doesn't equal 1.

yeah, no 

x = (1/8)	given
10x = 10/8	multiply by 10
9x = 9/8	subtract x
x = 1/8	divide by 9
1/8 = 1/8	substitution

try again

oops i'm sorry i meant -1/8. your proof only applies to postive numbers therefore has many holes in your logic. However i was mistaken it would only work with positive integers. cheers for that

x = -1/8
10x = -10/8
9x = -9/8
x=-1/8
-1/8=-1/8

In fact I can prove it works for all numbers

let y = x

(10y - y)/9 = y

y = y

x = x