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How close to 1 is 0.999...?


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Or is .9999 equal to 1?

depends how you look at it:

view 1) .99999999 ? 1

duh!

view 2) look at it this way:

what is 1 - 0.9999999999999* ???

It would be:

0.0000000000000*1

But the 1 can never exist, there can never be an end, it is infinite

so 1 - 0.9999999999999* is equal to:

0.000000000000000000000000000000000000***************

1=1

i think so. Either that or a new level above infinity has to be created for the 1 to go

(like this: 0?1) or something

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it's

.0001

Nope. I'm guessing you're resurrecting this thread because you read through this thread. Did you check out the links I provided?

http://mathforum.org/library/drmath/view/55746.html

http://mathforum.org/library/drmath/view/55748.html

http://mathforum.org/dr.math/faq/faq.0.9999.html

.999... = 1

any number added to it will be over 1.

.999... is greater than .99999

If you add .0001 to .99999 you will have a number greater than 1, so obviously you will have a number greater than 1 if you add .0001 to .99999... That number will be 1.0001

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Absolutely, 1=1 . Rounding off is a whole different method. It is as close as can be but, without rounding it off to 1, I still believe it is just a hair shy of 1.

Nope. Not a hair shy. Check out the links.

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Yeah, that's one way. I think of it like this:

What is 1 - 0.99999...?

Look at these first:

1 - 0.9 = 0.1

1 - 0.99 = 0.01

1 - 0.999 = 0.001

1 - 0.9999 = 0.0001

etc

for an infinite number of 9's, the 0's go on forever. There is no difference with a bunch of 0's and then a 1

1 - 0.999999999... = 0

thus

1 = 1

:P

Edited by unreality
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another proof of it equalling 1 that I just thought of:

1/3 = .333333333etc

2/3 = .666666666etc

we know that 1/3 + 2/3 is 3/3, or 1

we also know that .33333etc + .66666etc = .999999etc

therefore .9999999etc must equal 1

Edited by unreality
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but I just don't see it

the difference between .999... and 1, is infinitely minute

and 1 and 1 have no difference

there's a difference between infinitely minute, and no difference

so they aren't equal

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