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Spell it out for me. Is zero really a number?
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Spell it out for me.
Is zero really a number?
>>
wehn you add 0.999... to 0 it becomes 1
>>
>>8115421
Adding 0 to 0.999... Still makes it 0.999...
>>
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>>8115431
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
>>
>>8115356
define zero
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>>8115438
>0.999..=1
that's like saying 2+2=1
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>>8115356
No, zero is not a number, it’s a conspiracy to corrupt good, honest Christian Americans.
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>>8115564
that's like, the joke
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>>8115564
in Z/(4) anything can happen
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>>8115742
>4
I'm retarded

meant Z/(3)
>>
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>>8115356
>Is zero really a number?
If it's not, what comes halfway between 1 and -1?
Is 1-1 = -1?
>>
>>8115763
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.
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>>8115356
No. It's you OP. It's YOUR special designator in life. A big fat zero.
>>
>>8115431
1/9 = 0.1111....
multiply by 9 to give:
9/9 = 0.999.....
thus
9/9 = 1
>>
>>8115839
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
>>
>>8115564
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.
>>
>>8116194
It's true i saw something like that in an online calculator
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>>8116170
(9/10)/0 = 1 ?
>>
>>8116194
>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.
>>
>>8115431
1 + 0.999... = 2

The proof is trivial.
>>
Why don't we leave the counting to things that don't need fractions?
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>>8116204
go back to elementary/middle school when you learned about order of operations
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>>8115356
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.
>>
>>8115356
>>8115550

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

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

>>8115421
That is true by definition, the existence and equality of 1=0.999 also follows from the definition of the real numbers.
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