Spell it out for me

Spell it out for me.
Is zero really a number?

wehn you add 0.999... to 0 it becomes 1

Adding 0 to 0.999... Still makes it 0.999...

in (R, +) the following is true:
for all x in R, 0+x=x
Let x=0999...
Therefore 0+0.999...=0.999..
But 0.999..=1
therefore 0+0.999...=1 QED

define number

define really

define zero

>0.999..=1
that's like saying 2+2=1

No, zero is not a number, it’s a conspiracy to corrupt good, honest Christian Americans.

that's like, the joke

in Z/(4) anything can happen

>4
I'm retarded

meant Z/(3)

>Is zero really a number?
If it's not, what comes halfway between 1 and -1?
Is 1-1 = -1?

There's nothing between -1 and 1. Christ was born in AD 1. The previous year was 1 BC. QED

Zero is a jewish meme.

No. It's you OP. It's YOUR special designator in life. A big fat zero.

1/9 = 0.1111....
multiply by 9 to give:
9/9 = 0.999.....
thus
9/9 = 1

not rigourous enough
.999... can be definesd as
series from k =1 to infinity of 9(1/10)^k, which
is a geometric series. Hence it equals (9/10)/(1-1/10)=1

How? [math]0.\dot{9} = 1[/math] is true. One of the first things they teach to you in first term is the non uniqueness of the decimal representation of numbers, so having something like this shouldn't be surprising at all.

It's true i saw something like that in an online calculator

(9/10)/0 = 1 ?

>How? 0.9˙=1 is true

No. This is a Jewish scheme to fuck with the numbers behind economics.


>deposit a dollar
>try to withdraw it and get only 90 cents back
>oy vey! Don' complaim it's how math works. I bet you are anti-semetic!

It's also how they managed to turn a couple dozen Jews dying of typhod into 6 million.

1 + 0.999... = 2

The proof is trivial.

Why don't we leave the counting to things that don't need fractions?

go back to elementary/middle school when you learned about order of operations

If you agree that the naturals 1,2,3,4.... Are numbers and that the difference between any two naturals is a number, then zero is a number as well as the negative naturals.

Every filed has an element x for which:
a+x=a for every a.

This includes the real numbers and is called "0".

That is true by definition, the existence and equality of 1=0.999 also follows from the definition of the real numbers.