.99999999999999999999=1?

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You are currently reading a thread in /sci/ - Science & Math

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Anonymous

.99999999999999999999=1? 2016-01-25 06:19:02 Post No. 7808962

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.99999999999999999999=1? 2016-01-25 06:19:02 Post No. 7808962

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Hey /sci/ can someone tell me? I am really confused, and need to write a paper.

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round up you dumb nigger

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>>7808962

you misspelled 'wipe'

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>>7808962

if 0.999999999... != 1 then how do you represent 1/3 in decimal?

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>>7808962

1=9/9 = 9 * 0.1111111111111111 = 0.99999999999

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.9999999... * 10^infinity = 999999999...

1 * 10^infinity = 100000000...

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>>7808962

Been waiting to use this again.

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>>7809035

QED

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Why can't we rid maths of infinity?

It causes so many problems.

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>>7809052

Y-you too

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>>7808962

>A set

A collections of "things" where you can tell what belongs in it (but how many times is disregarded)

>A pair of "things" from S

Two things in S ordered by what's first and second

>A relation on a set S

A set of pairs of things in S

>An equivalence relation R on S

A relation on S that "generalizes equality". It's defined with the additional properties of

1. for any thing x in S, the pair (x, x) is always in R since a thing is always equivalent to itself (This is called reflexivity)

2. For any two things x and y in S, if (x, y) in R then (y, x) is too since if two things are equivalent then they are equivalent (This is called symmetry)

3. For any three things x, y, and z in S, if (x,y) and (y,z) are in R then (x,z) is too since if two things are equivalent to the same something else, then they are equivalent to each other (called transitivity)

>The decimals

The set of all numbers made up of a integer, a point, and a string of digits going on forever

>The real numbers

The set of decimals where equality is replaced by a special equivalence relation defined as "any two numbers are equivalent if they are the same number OR one nonzero number ends in all 0s and the other ends with all 9s and the last digits before the 9s is subtracted by 1"

Clearly we see that .9999...=1 BY DEFINITION of the real numbers.

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>>7809052

Because the universe is built on equations of infinity.

Get used to it.

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>>7808962

1/9 = 0.1111111111111111...

9* 1/9 = 0.9999999999999999...

9* 1/9 = 9/9

9/9 = 1

∴ 0.9999999999999999... = 1

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>>7809103

More like we use equations of infinity to understand a finite universe.

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>>7808962

holy fuck it's in the guide, you imbecile

http://img40.imageshack.us/img40/4547/1314137966992.png

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Does this mean infinity equals .000...1?

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>>7809129

What does the funny shaped E mean?

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>>7809199

Kek

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>>7809135

It is, to itself.

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>>7809112

true answer here

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