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-   -   OT: "Interesting" Math Question 2 (http://www.insidehoops.com/forum/showthread.php?t=10548)

 IceMan2 09-07-2006 06:44 PM

OT: "Interesting" Math Question 2

Does 0.9 repeating = 1?

Case for FALSE

0.9 repeating doesn't equal 1 because well because it is not 1 period...It is just a little less...It is the number that is closest possible to 1...It is just a little short...Basically, its just not 1...Its just a "little off"...Its just not there yet...

Case for TRUE

1. 1/3=0.3 repeating

Times both sides by 3

1=0.9 repeating?

2. What is 1-(0.9 repeating)?

0?

If its 0, then its 0.9 repeating must be 1 also...

So does

1=0.9 repeating?

 LakersDynasty 09-07-2006 06:45 PM

its 0.99999999 (infinite) thus less than 1.

 IlliniFan 09-07-2006 06:46 PM

No..Its like an asymptote on a graph...it keeps getting closer and closer but will never reach that number. .9 repeating does not equal 1.

 i seen hippos 09-07-2006 06:46 PM

.

this seems really obvious.

 IceMan2 09-07-2006 06:46 PM

Quote:
 Originally Posted by LakersDynasty its 0.99999999 (infinite) thus less than 1.
What do you have to say about the 2 things for the "True" Side

 DreamRuled 09-07-2006 06:47 PM

Quote:
 Originally Posted by IceMan2 2. What is 1-(0.9 repeating)?

it's .0 repeating 1

 IceMan2 09-07-2006 06:50 PM

Quote:
 Originally Posted by DreamRuled it's .0 repeating 1

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?

 IceMan2 09-07-2006 06:55 PM

Come on, anybody want to against the 2 Cases saying it is True?

Don't tell me

1/3 doesn't equal 0.3 repeating...You could divide 1 by 3 yourself, and you'll get an infinite amount of 0.3 repeatings...

And if you do times that by 3, you got 0.9 repeating, while 1/3 becomes 1...

And What is 1-0.9 repeating then?

 LakersDynasty 09-07-2006 06:58 PM

Quote:
 Originally Posted by IceMan2 Come on, anybody want to against the 2 Cases saying it is True? Don't tell me 1/3 doesn't equal 0.3 repeating...You could divide 1 by 3 yourself, and you'll get an infinite amount of 0.3 repeatings... And if you do times that by 3, you got 0.9 repeating, while 1/3 becomes 1... And What is 1-0.9 repeating then?

0.000009, you get the picture.

And then they say LAUSD students are dumb.

 IceMan2 09-07-2006 06:59 PM

Quote:
 Originally Posted by LakersDynasty 0.000009, you get the picture. And then they say LAUSD students are dumb.
Where did the

"0.000009"

come from?

What were you trying to answer with that...

 Timmeh 09-07-2006 07:06 PM

Quote:
 Originally Posted by IlliniFan No..Its like an asymptote on a graph...it keeps getting closer and closer but will never reach that number. .9 repeating does not equal 1.
Yes, it's like this:

Take a point that is 20 feet from a wall, you move it half the distance to the wall (10 ft), if you keep halfing your distance, you will never reach the wall.

 IceMan2 09-07-2006 07:08 PM

Quote:
 Originally Posted by Timmeh Yes, it's like this: Take a point that is 20 feet from a wall, you move it half the distance to the wall (10 ft), if you keep halfing your distance, you will never reach the wall.
Yes...But can you answer the reasons it can be True?

 Timmeh 09-07-2006 07:12 PM

Quote:
 1. 1/3=0.3 repeating Times both sides by 3 1=0.9 repeating?
This isn't true because multiplying 1/3 by 3 = 1, but 0.3 by 3 = 0.9, they don't equal because fractions in some cases, like 1/3, are just rounded decimals.

Quote:
 2. What is 1-(0.9 repeating)? 0? If its 0, then its 0.9 repeating must be 1 also...
1-0.9 is 0.1 repeating.

 IceMan2 09-07-2006 07:15 PM

Quote:
 Originally Posted by Timmeh This isn't true because multiplying 1/3 by 3 = 1, but 0.3 by 3 = 0.9, they don't equal because fractions in some cases, like 1/3, are just rounded decimals.

1/3 = 0.3 repeating exactly...not 0.3 period...
Quote:
 1-0.9 is 0.1 repeating.

What math are you in?

1.000-0.999 is NOT

0.111 like you have things working out....

its 0.001....

Think about what I just told you there

What is 1-0.9 repeating...

 LakersDynasty 09-07-2006 07:17 PM

Quote:
 Originally Posted by IceMan2 1/3 = 0.3 repeating exactly...not 0.3 period... What math are you in? 1.000-0.999 is NOT 0.111 like you have things working out.... its 0.001.... Think about what I just told you there So lets ask again... What is 1-0.9 repeating...
Is it 0.000001 repeating Teacher?

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