Prove 3/3 ≠ 1: Math Puzzle Challenge

[Lonewolf]

So, if I chose another symbol for 1, its numerical value would change?

 

[krypto]

nope cos it still means 1 even if u named it bob

 

[Lonewolf]

Precisely. So writing 0.999... shouldn't falsify 0.999... = 1, right?

 

[gregmead]

A recurring decimal can be written like:

$$S = A*r^n$$

$$0.999... = 0.9*0.1^n$$

Sum to infinity of a converging series: $$\frac {A}{1-r}$$

So, $$\frac {0.9}{1-0.1}=\frac {0.9}{0.9} = 1$$

 

[The Rev]

It's times like this that we need to consider switching to a duodecimal system. In duodecimal 1/3 = 0.4

Much easier.

$$\sigma$$

The Rev

 

[Hurkyl]

Well, since nobody seems to be learning anything, I'll close it up.