Date: Oct 6, 2017 10:47 AM
Author: Markus Klyver
Subject: Re: reason why 1=.99999....99(10/9) and why 1/3 = .333333......33(1/3),<br> never that nonsense 1=.999.... 1/3 = .3333.....

Den tisdag 3 oktober 2017 kl. 04:21:37 UTC+2 skrev Archimedes Plutonium:
> Newsgroups: sci.math
> Date: Mon, 2 Oct 2017 08:32:50 -0700 (PDT)
>
> Subject: Why is there a difference between fractions 1/3 and .333 repeating
> multiplied by 3
> From: Archimedes Plutonium <plutonium....@gmail.com>
> Injection-Date: Mon, 02 Oct 2017 15:32:50 +0000
>
>
> Because you cannot mix fraction with a decimal unless the decimal ends in 0's
>
> For example 10 divided by 3 is 10/3 or written as 3+1/3
>
> But completely wrong when writing it as 3.333.... Because the dots mean nothing, unless you write it as 3.3333...33(1/3) so you include the carryover at infinity
>
> This means that .99999.... is not 1, unless you included the carryover at infinity border as this
>
> .99999....99(10/9) which in fact is 1
>
> For you divide 10 by 9 carry the 1 leaving behind 0, 1 added to 9 is 10, carryover the 1, leaving behind another 0, finishing off with
>
> .9999....99(10/9) = 1.0000.....
>
> You see Old Math was too dumb and lazy to define how those dots ......... Interfaces with fractions, too dumb too lazy
>
> AP
>
> Newsgroups: sci.math
> Date: Mon, 2 Oct 2017 19:10:39 -0700 (PDT)
>
> Subject: the reason why 1=.99999....99(10/9) and why 1/3 = .333333......33(1/3)
> From: Archimedes Plutonium <plutonium....@gmail.com>
> Injection-Date: Tue, 03 Oct 2017 02:10:39 +0000
>
> the reason why 1=.99999....99(10/9) and why 1/3 = .333333......33(1/3)
>
> On Monday, October 2, 2017 at 10:33:05 AM UTC-5, Archimedes Plutonium wrote:

> > Because you cannot mix fraction with a decimal unless the decimal ends in 0's
> >
> > For example 10 divided by 3 is 10/3 or written as 3+1/3
> >
> > But completely wrong when writing it as 3.333.... Because the dots mean nothing, unless you write it as 3.3333...33(1/3) so you include the carryover at infinity
> >
> > This means that .99999.... is not 1, unless you included the carryover at infinity border as this
> >
> > .99999....99(10/9) which in fact is 1
> >
> > For you divide 10 by 9 carry the 1 leaving behind 0, 1 added to 9 is 10, carryover the 1, leaving behind another 0, finishing off with
> >
> > .9999....99(10/9) = 1.0000.....
> >
> > You see Old Math was too dumb and lazy to define how those dots ......... Interfaces with fractions, too dumb too lazy
> >
> >

>
> Alright, let me expand and expound on the ideas above, of undefined and ignorant dots .............
>
> The snobs, and slobs of Old Math who think that 1/3 = .333333..... and that 1 = .999999.....
>
> Well, ask those slobs and snobs, ask them to add
>
> 0.9999999.....
> +.9999999.......
>
> watch the goon squad try to get rid of this 1.99999.....9998
>
> ask the goon squad how they got rid of the "8"
>
> But, on the other hand, when you well define the ellipsis, for those series of dots ...... is called Ellipsis
>
> If you well define the ellipsis with an infinity border and where you include all REMAINDERS in division.
> Then you have a correct and proper mathematics.
>
> The example that must always be followed in division is the remainder
>    ________
> 3| 1000       = 333+1/3
>
> We never imagine that the correct final answer is without that fraction 1/3 added on
>
> Thus, when we have
>
>    ________
> 3| 1.000...       = .333....(+1/3)
>
> for we have a ending fraction of (+1/3)
>
> Now, the slobs and snobs never realized how important that (+1/3) was for they boneheadedly did this
>
> .3333333333.......... plus .3333333...........  = .666666666........ and thought everything was A-okay
>
> But look what the true addition is like:
>
> .333333.....33(+1/3) + .333333.....33(+1/3) = .66666666........66(+2/3)
>
> You see how unmessy that is, because, well look at this by the boneheads:
>
> .99999999..... + .99999999..... = 1.999999......998
>
> Whereas true math has
>
> .9999999......99(+10/9) + .9999999.....99(+10/9) = 1.999999.....98(+20/9) = 2.00000....(+0)
>
> So, you see how clean that all is, rather than what the slobs, snobs and boneheads dish out in their fantasies of math.
>
> They are failures, regular failures of math for they refuse to define infinity with a borderline and then they make up this crap that .9999.... is the same as 1, or that .33333.... is the same as 1/3 when they forgot about the remainder.
>
> AP


1) Do you understand that decimal expansions are defined in terms of limits?

2) Do you understand limits?