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