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Avatar of Mathemagician_2
Knight_king1014 wrote:

So what happened with 1 and 0.(9)?

 

I shall answer this;

Just as 9, 99, 999 etc. Does not become (10^n) for natural number n, 0.9, 0.99, 0.999 etc. Never becomes the number 1!

Avatar of Knight_king1014

Finally someone who agrees it's not 1!

Avatar of Mikey383
ActivatePlan357 wrote:

Yes Mikey...same proof I did in post #70

i didn’t see your post

i remember seeing the proof we borh did somewhere outside of chess.com. (i can’t remember where tho)

Avatar of ActivatePlan357

No worries Mikey, it is a common proof that I cannot take credit for. I was just pointing out the fact that I was not the only one to prove it that way to solidify that the proof is accurate. Thus reinforcing the fact that 1 = 0.999... is true. In fact, someone else posted the same proof before me. It wasn't as elegant but it was acceptable.

Avatar of ActivatePlan357

The expression 0.999... should be interpreted as the limit of the sequence 0.9, 0.99, 0.999, ... and so on. This sequence can be rigorously shown to have the limit 1, and therefore this expression is meaningfully interpreted as having the value 1.[7] copied from https://en.m.wikipedia.org/wiki/Limit_(mathematics)

Avatar of Ellem27
Um, if you would add any number above zero (because zero is infinitely small),
to 0.(9) It would be greater than one so, theoretically 0.(9) is neither equal to one or less than one.
Avatar of Ellem27
And, 1 + 0.(9) will not equal 2 without rounding, and rounding is not an exact formula.
Avatar of Ellem27
To think that this math debate started with Chessguy2 commenting “I just wanted to say 1=.9 repeating, any one differ?”
Avatar of ActivatePlan357

Based on your post Ellem stating zero is infinitely small, then 1 - 0.999... = 0.000... = 0 (because zero is infinitely small). Therefore 0.999... = 1

Avatar of KnightmareGambit87
Btw percents can be swapped. For example: 6% of 50 is actually 50% of 6 which is a lot easier to calculate.
Avatar of Ellem27
#128 good point.
Avatar of Ellem27
Also I was wrong because 0 is neither positive nor negative, it is neutral.
Avatar of Ellem27
#129 that works with select few numbers. 10% of 1 = 0.1 but, 1% of 10 = 1. 5% of 10 = 2 but 10% of 5 = 0.5
Avatar of orrin14

then what is .9 bar +.0 bar 1

Avatar of Guest8484706794
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