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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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Yes I read about it a long back somewhere at the archimedes-lab pages.

There is no need to round off 0.9999... to get 1, it is exactly equal to one.

or in other words,

writing 0.9999.... is just another way of writing one.

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Here's an easy way to think about it.

1/9 = .11111...

9 * 1/9 = .9999999...

9/9 = 1

1 = .999999...

My math teacher taught us this.

Edited by Frost
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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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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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