Message Board Basketball Forum - InsideHoops OT: "Interesting" Math Question 2
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09-07-2006, 07:18 PM   #16
IceMan2
Local High School Star

Join Date: Aug 2006
Posts: 1,770

Quote:
 Originally Posted by LakersDynasty Is it 0.000001 repeating Teacher?
?

The

0.000001?

So

0.000001000001000001?

What is repeating?

09-07-2006, 07:20 PM   #17
LakersDynasty
Good college starter

Join Date: Aug 2006
Location: Los Angeles
Posts: 3,263

Quote:
 Originally Posted by IceMan2 ? Whats repeating in your sentence? The 0.000001? So 0.000001000001000001? What is repeating?
Nope. The 0 keeps repeating.

09-07-2006, 07:21 PM   #18
IceMan2
Local High School Star

Join Date: Aug 2006
Posts: 1,770

Quote:
 Originally Posted by LakersDynasty Nope. The 0 keeps repeating.
That would make the answer 0...

Which would mean

1 = 0.9 repeating

since

1 - 0.9 repeating = 0...

 09-07-2006, 07:23 PM #19 sportstownusa Yup   Join Date: Sep 2006 Posts: 145 i could give it a try there is a flaw in thinking that 1/3 is just .333 repeated. repeated decimals cannot fully describe a fraction. just like 1/9 is .111111 etc. u multiply 1/9 by 9 and get 1, but .1111 times 9 is again....999. thas the magic of repeated decimals. Sorry that i cant say it better, or give a tangible proof, but the fact is that the decimal is representation of fraction, and some fractions u cant describe with decimals. Let me try to see if i can explain it:.... so when u divide 1 by 3.....u get 3 pieces of .333 and 1 piece of .0001. Now if u try to divide that 1 piece of .0001 into 3 equal pieces and add it to the three previous pieces u created, then u get 3 pieces of .3333 & .00001 left over. Now u can try to divide that .00001 in 3 pieces over and over again and add it to the initial 3 pieces, but in the enf u will always have some small decimal left over. so when u make 1/3 into a decimal....we just ignore that small fraction, and if u take that decimal representation of 1/3 and multiply it by 3, and then add that small factor that was ignored...u will get 1. i hope i conveyed my message, even tho im not pretty good at explaining.
 09-07-2006, 07:23 PM #20 XxNeXuSxX The Master Debater     Join Date: Jun 2006 Location: UConn Posts: 7,428 Interesting Math/Physics/Engineering question here This is debated all the time, and really can't be answered. If you have a full sandwich, eat one half of it, eat another half, eat another half. Keep eating it in half, will the sandwich ever be finished? Mathematically no, engineers would usually say yes.
 09-07-2006, 07:23 PM #21 LakersDynasty Good college starter     Join Date: Aug 2006 Location: Los Angeles Posts: 3,263 Wow you're joking right. 0.01, 0.001, 0.0001, 0.00001, 0.000001, 0.0000001, 0.00000001. Get the picture?
09-07-2006, 07:24 PM   #22
IceMan2
Local High School Star

Join Date: Aug 2006
Posts: 1,770

Quote:
 Originally Posted by LakersDynasty Wow you're joking right. 0.01, 0.001, 0.0001, 0.00001, 0.000001, 0.0000001, 0.00000001. Get the picture?
And if the 9s go on forever...The 1 would never appear...

1-0.99

0.01

1-0.999

0.001

1-0.9999999

0.0000001

1-0.99999999999999999

0.00000000000000001

The 1 only comes when the 9s stop...

Last edited by IceMan2 : 09-07-2006 at 07:26 PM.

 09-07-2006, 07:26 PM #23 boshraptor4life I hit open 5-foot jumpshots with ease     Join Date: Jun 2006 Location: Halifax Posts: 275 It would never be finished. It would just become like a tiny particle invisible to the naked eye.
 09-07-2006, 07:28 PM #24 qwerty (o_0)     Join Date: Jul 2006 Posts: 2,434 Realistically, it would be finished, except for all the little crums that you wouldnt eat anyways. Your teeth won't be able to cut that small **** in half, so you'd eventually just eat it all.
09-07-2006, 07:32 PM   #25
IceMan2
Local High School Star

Join Date: Aug 2006
Posts: 1,770

Quote:
 Originally Posted by sportstownusa there is a flaw in thinking that 1/3 is just .333 repeated. repeated decimals cannot fully describe a fraction. just like 1/9 is .111111 etc. u multiply 1/9 by 9 and get 1, but .1111 times 9 is again....999. thas the magic of repeated decimals. Sorry that i cant say it better, or give a tangible proof, but the fact is that the decimal is representation of fraction, and some fractions u cant describe with decimals. Let me try to see if i can explain it:.... so when u divide 1 by 3.....u get 3 pieces of .333 and 1 piece of .0001. Now if u try to divide that 1 piece of .0001 into 3 equal pieces and add it to the three previous pieces u created, then u get 3 pieces of .3333 & .00001 left over. Now u can try to divide that .00001 in 3 pieces over and over again and add it to the initial 3 pieces, but in the enf u will always have some small decimal left over. so when u make 1/3 into a decimal....we just ignore that small fraction, and if u take that decimal representation of 1/3 and multiply it by 3, and then add that small factor that was ignored...u will get 1. i hope i conveyed my message, even tho im not pretty good at explaining.

I kind of see what your saying...

But do you know how to divide smaller numbers into bigger ones?

For example 2/5, which gives 0.4....Or 1/3...Which if you work it out yourself, you do start seeing...0.3 repeated...

So 1/3 must equal 0.3 repeat...

So if you divide 1 by 3 you don't get 0.333 like you said...You got 0.3 repeating...

Your right, there would be something left over...

That is IF 0.9 repeating didn't equal 1...

Answer this...what is 1- 0.9 repeating...

Last edited by IceMan2 : 09-07-2006 at 07:35 PM.

 09-07-2006, 07:33 PM #26 sportstownusa Yup   Join Date: Sep 2006 Posts: 145 hmm i remember reading abt that in my mechanics book. The explanation to that was that if u decide to split up that variable (such as amount of sandwich remaining or eaten), then u have to split up time in that same proportion, such as first half of sandwich takes u 5 mins, then half of remaining sandwich takes u 2.5 mins, then half of remaining takes u 1.25 mins. If u add up all the time....ull get 9.999999999 mins with sumthing like .00000001 fraction of sandwich remaining. When u let time go to 10 (twice of what it took u to eat the first half), boom, ur done with ur sandwich. Key is that...if u split up one variable in weird scale, u cant expect time to keep going in the original "real time" scale. Time will follow the same scale u use ( and in this case, never reach 10 mins.)
 09-07-2006, 07:33 PM #27 sportstownusa Yup   Join Date: Sep 2006 Posts: 145 hmm double post
 09-07-2006, 07:34 PM #28 Jerm I'm trying to improve myself. I'm the new, better Jerm     Join Date: Jun 2006 Location: Okokomaiko Posts: 799 This question is much more stupid than interesting. It can only be of interest to misers.
09-07-2006, 07:35 PM   #29
DreamRuled
Learning to shoot layups

Join Date: Jun 2006
Posts: 91

Quote:
 Originally Posted by IceMan2 Actually 1.000-.999= .001... Not .011 like you have it going... Or 1.000000-0.999999=.000001 Not .01111 So if it was 1=0.9 repeating, then what?

actually, using the same notation used in the opening of the topic, since the repeating comes after the 0, the zero gets repeated, not the 1. therefore, my answer is right. 0 is repeated to infinity, and then a 1 is tacked on to the end of it.

 09-07-2006, 07:36 PM #30 sportstownusa Yup   Join Date: Sep 2006 Posts: 145 . 000000000(infinite times) with a 1 at the end

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