If you're bored (puzzles) read 1st post

[wcaclimbing]

new question:

prove that 0.999999999 repeated equals one
(there are two ways to do this. if you know both, post both. if you know one, post it and someone else will post the other way)

[sfhbballnut]

it equals 0.99999999 repeating, so how does it equal one? unless when you plug it in the calculator it comes out as one, this should be interesting

[wcaclimbing]

no sfh just because the calculator says it equals 1 doesnt mean it does.

here is the first solution:

make x=.9999999999....

first multiply x by ten = 9.9999999999 (10x=9.999999.....)
then subtract x =9.000000 (9x=9.0000000)

then with simple algebra, solve 9x=9.

since x=.99999.... , .99999... = 1

now does anyone know the other solution?

[sfhbballnut]

9.999999.....minus 9.0 isn't 9? did I miss something? that doesn't work

[Skittlesandmnms]

we went over this in alegbra but i forgot... damn. ill ask my chinese friend. he knows like... everything about math.

[sfhbballnut]

you've surpassed yourself, this is the stupidest post yet

[Skittlesandmnms]

no this is.

[Kupo666]

Just round it. 9 rounds up, causing the 9 in front to become 10, causing the 9 in front to again become 10, and so on until it rounds out to 1. Anyway, could I post some of my own? They're not math problems, but they're still riddles.

[Paulicus]

Sure that's how wcaclimbing started to... I'm still keeping score.

[Kupo666]

There is a town that wishes to expand their fountain to twice it's size, but there's a problem. The fountain is square, and arranged with a tree at each corner. The town doesn't want to pay to have the trees removed,so how can they double the fountain's size, while removing the least amount of trees?

[Paulicus]

Oh yes.. and if you do post a new question can you please post another to verify if someone got it correct.... not just ask another question.. tnx

[wcaclimbing]

9.999999.....minus 9.0 isn't 9? did I miss something? that doesn't work

i explained it kinda confusingly (is that a word???)

ill try again:
x=0.999999....
first do 10x
10x= 9.9999999999999
then do 10x-x
10x-x=9x
9.9999999 (ten x part)-0.999999999 (x part) = 9.000000 (which is 9x)
since 9x=9, x=1
since x=0.9999999, 0.999999=1

here is the other solution. its easier to explain:

ok..
take 0.999999 and divide it by 3
0.9999999/3=0.3333333333333
convert 0.3333333333... into a fraction
0.3333333333333 = 1/3
now multiply that by 3. that equals one
1/3 X 3 =1
explanation is bolded. not bold = math

[wcaclimbing]

There is a town that wishes to expand their fountain to twice it's size, but there's a problem. The fountain is square, and arranged with a tree at each corner. The town doesn't want to pay to have the trees removed,so how can they double the fountain's size, while removing the least amount of trees?

does the fountain with the doubled size still have to be square?

[Kupo666]

Yes.

[wcaclimbing]

is it set up like this?


@................@..
....______....
...|.............|....
...|.............|....
...|.............|....
...|______|....
@................@..

@=trees
-,_,|=fountain borders

i say move only 1 tree