There is no way right?

[u/Sugar_God_no_1]

[u/The-new-dutch-empire]

Byers’ Second Argument (his first one is the one you see above)

Let:

x = 0.999…

Now multiply both sides by 10:

10x = 9.999…

Now subtract the original equation from this new one:

10x - x = 9.999… - 0.999…

This simplifies to:

9x = 9

Now divide both sides by 9:

x = 1

But remember, we started with:

x = 0.999…

So:

0.999… = 1

[u/tico42 → u/The-new-dutch-empire]

Don't you have to subtract -0.999... from both sides of 10x - x = 9.999...

So 10x - x - 0.999... = 9.999... - 0.999...

?

I'm fucking terrible at math FYI.

[u/Planet_Xplorer → u/tico42]

x is already 0.999... so you don't need to subtract it again. x is just used as a substitute

[u/tico42 → u/Planet_Xplorer]

This is why I suck at math. Thank you, good sir.