.999 repeating = 1

[trafalgar-zero]

We assume that it is 1 because it makes calculations way easier, and the error it creates in reality is so little we can't notice it.

Maybe in the future it will cause problems.

We know .9999... doesn't =1
but in math we say this to cut down the paper work.
There's many other things in math that we assume or bend to our advantage.

so literaly .9999999 doesn't = 1
but for the sake of saving time we say it does.

[Dreamsmith]

Sure, it does technically equal 1/3, but what I can question is the validity of any equations utilizing .333 instead of 1/3, since 1/3 can't technically be written properly in decimal form for an equation. If you can't truly write that number in decimal form, how can you use it in equations in decimal form?

But you can write it in decimal form, it's ".3" with a bar over the three.

This is irrelevant, however. How you write a number has no bearing on the number itself. It's the same number whether you write it "1/3" or ".3..." or whatever, just as "3", "three", "tres", and "III" are the same number, regardless of the word, symbol, or notation used to represent it. Any equation written in demical notation could easily be rewritten in fractional notation using roman numerals if you wanted -- the validity of the equation has nothing at all whatsoever to do with what notational system you decide to use.

One third times three equals one. There's no magic associated with notational systems that would make this true if you write it one way but false if you write it another. Don't confuse the actual math with the way you write it out. "One third times three equals one" was true long before humans came along and invented writing...

[Mortaj Delvas]

I've been hesitant to reply so far but...


1/3 can be represented by 0.3 repeating. Technically they are not equal. Remember back to 8th grade, 0.3 repeating is found by dividing 1 by 3. If you were to actually do this calculation, you could never could finish.

[zabadoohp]

Hello everyone hahahaaa

[Tucks]

hahaha, epic thread necromancy.

[The Avatar]

We know .9999... doesn't =1
but in math we say this to cut down the paper work.
There's many other things in math that we assume or bend to our advantage.

.9999... (repeating) does euqals to 1. yes, blame math that u can manipulate any ways u want as long as both side equal and ur not breaking the rules.

so literaly .9999999 doesn't = 1
but for the sake of saving time we say it does.

.9999999 does not equal to 1. do the method below u wont come up with 1 but exactly .9999999.

Let x = .9999...
10x = 9.9999....
10x - x = 9.9999... - .9999...
9x = 9
x = 1
therefore .9999... = 1

BH

that one is the correct answer & proof method; learn in calculus about limits.

[zabadoohp]

Hello everyone hahahaaa

[The Avatar]

Your "equation" is false. If it was true you could do this.
Let x = .8888...
10x = 8.8888....
10x - x = 8.8888... - .8888...
8x = 8
x = 1
therefore .8888... = 1

no redo it & check ur work.

let x = .8888...
10x = 8.8888...
10x - x = 8.8888...- .8888...
9x = 8
x = 8/9 = .8888888889

[Drec Sutal]

and any other infinitely repeaping
number

Go away, unless you care to actually say something.

[MoonUnit]

Useless mathematics

You registered today to revive a 3 year old thread? Why would a "math whiz" be posting on a gaming forum?

You might want to check this out.