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09-07-2006, 06:44 PM
#1
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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?

09-07-2006, 06:45 PM
#2
Good college starter

Join Date: Aug 2006

Location: Los Angeles

Posts: 3,263

its 0.99999999 (infinite) thus less than 1.

09-07-2006, 06:46 PM
#3
NBA rookie of the year

Join Date: Jul 2006

Location: DMV

Posts: 6,699

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.

09-07-2006, 06:46 PM
#4
NBA Superstar

Join Date: Jun 2006

Posts: 14,036

.
this seems really obvious.

09-07-2006, 06:46 PM
#5
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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

09-07-2006, 06:47 PM
#6
Learning to shoot layups

Join Date: Jun 2006

Posts: 91

Quote:

Originally Posted by IceMan2

2. What is 1-(0.9 repeating)?

it's .0 repeating 1

09-07-2006, 06:50 PM
#7
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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?

09-07-2006, 06:55 PM
#8
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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?

09-07-2006, 06:58 PM
#9
Good college starter

Join Date: Aug 2006

Location: Los Angeles

Posts: 3,263

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.

09-07-2006, 06:59 PM
#10
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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...

09-07-2006, 07:06 PM
#11
Yes, I am a dick.

Join Date: Jun 2006

Location: East of civilization.

Posts: 2,976

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.

09-07-2006, 07:08 PM
#12
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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?

09-07-2006, 07:12 PM
#13
Yes, I am a dick.

Join Date: Jun 2006

Location: East of civilization.

Posts: 2,976

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.

09-07-2006, 07:15 PM
#14
Local High School Star

Join Date: Aug 2006

Posts: 1,770

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...

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...

09-07-2006, 07:17 PM
#15
Good college starter

Join Date: Aug 2006

Location: Los Angeles

Posts: 3,263

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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