[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 102 KB, 360x360, -does-not-equal-.jpg [View same] [iqdb] [saucenao] [google]
2504433 No.2504433 [Reply] [Original]

Because if:

1 = .999...

then:

2 = 1.999...

and so on...

3 = 2.999...

But they don't. The decimal "equivalent" continues getting smaller and smaller and smaller, because there is no such thing as an infinite number, everything must end if you are to say it equals a number which has an end. Like "1". So a non-infinite number can not equal an infinite number. Therefore, wherever this ".999..." sequence ends, after multiplying it by two, it will no longer consist of only 9's, it will end with an eight.

>> No.2504443

nope.
take an item. cut it into perfect thirds.
each piece will be .333... of the total item.
put them back together and you have (3)(.333...)=1

>> No.2504449

>>2504433
1 is not a non-infinite number, its just shorthand for 1.000000...

>> No.2504450

>>2504443

I honestly can't tell what's trolling anymore.

>> No.2504451

wait and non inf. cant equal an inf. number?
1=1.00000...

you need some calc

>> No.2504453

No more retarded threads please

>> No.2504457

>>2504443
>>2504451
hivemind

>> No.2504461

pretty sure it does bra

1/3 =0.333...
2/3 = 0.666...
3/3 = 1 = 0.999...

Anyone who says this is wrong is just splitting hairs.

>> No.2504466
File: 44 KB, 549x563, 1296847135653.jpg [View same] [iqdb] [saucenao] [google]
2504466

>>2504443
But wouldn't the .111... difference be the tiny bit removed by the knife? That would explain the lose from cutting the cake.

>> No.2504465

>>2504451
Adding a string of infinite 0's doesn't change the value of the whole number that is 1. Adding an infinite string of 9's to a number certainly does change it's value. Therefore you just proved 1 does not equal .999...

>> No.2504469
File: 311 KB, 1279x1901, zero point nine repeating.png [View same] [iqdb] [saucenao] [google]
2504469

Oh, this thread again, pic related, as usual

>> No.2504477

Just to provide something with a tiny speck of value to this thread...

OP, you're trying to invent a number system that contains the reals but doesn't contain infinities. It can't be done because the reals contain both the infinitely big and the infinitely small, and that's just part of the deal.

>> No.2504496
File: 70 KB, 400x300, notsure_iftroll.jpg [View same] [iqdb] [saucenao] [google]
2504496

>>2504433
ofc 1 doesn't equal 0.999 but they are usually equivalent depending on how accurate the situation needs to be.

>> No.2504497

>>2504477
uhh no. The real numbers have the Archimedean property, which means they have no infinite or infinitesimal numbers. They do, however, have endless decimals, but those converge to finite numbers (such as (0.999...) converging to one).

>> No.2504509

>>2504466
no.
the remainder isnt .111...
its .000... which equals 0 for the same reasons.

>> No.2504517

x = 0.99999...

x = x
10x = 10x
10x - x = 10x - x
10(0.99999...) - (0.99999...) = 10x - x
9.99999... - 0.99999... = 10x - x
9 = 10x - x
9 = 9x
1 = x

Problem?

>> No.2504536

>>2504433
>>2504443
>>2504449
>>2504466
>>2504477

3 dubs and 2 trips.
thats a full house.

>> No.2504557

<span class="math">\newcommand{\t}[1]{\displaystyle{#1 \atop {#1~~#1}}} \t{\t{\t{\t{\t{\t{\t{\triangle}}}}}}}[/spoiler]
Doing this only for stopping this troll thread.