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Forums - General - Does 0.999... Equal 1?

theprof00 on 24 September 2008
dtewi said:
Yes, 0.999999999............... does equal 1.

Let's use a simple algebraeic equation.

Let c = 0.999...

10c= 9.9999.....

10c -c = 9

9c/9 = 1.

c = c

1 = 0.999...

learned this is school today?

it's wrong. it's an over simplification.

 



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Rath on 24 September 2008
dtewi said:

It is easy. What is infity minus infinity? Zero! What is Infity times one infityth? One! Or alternatively, what is infinty divided by infity? One! What is infinity times 1? Infinty!

 

I hope that is sarcasm. Infinity isn't a number it is a concept.

 



steven787 on 24 September 2008
dtewi said:
Kane said:
dtewi said:
steven787 said:
twilit said:
dtewi said:
Yes, 0.999999999............... does equal 1.

Let's use a simple algebraeic equation.

Let c = 0.999...

10c= 9.9999.....

10c -c = 9

9c/9 = 1.

c = c

1 = 0.999...

If you knew the answer what was the point of this thread...

 

 

Wrong again, once you multiply c *10, theoretically at the end of the infinite 9's there would be a zero.  Which is why 9.... or 9-bar is not .9999999 infinite, it's a symbol for a number that can't be expressed in decimal terms.

 

Theoretically, if infinity has no end, how is there zero at the end of it?

 

 

i still don't see how people are convinced they can calculate with infinity

It is easy. What is infity minus infinity? Zero! What is Infity times one infityth? One! Or alternatively, what is infinty divided by infity? One! What is infinity times 1? Infinty!

 

 

Infinity isn't a number.

 

@happy, we basically agree then.  But I conclude that infinite repitition is imprecise, and you can not.

.3-bar ~= 1/3

so .9-bar ~= 1

 

If your going to use calc constants then you may as well say that dividing by zero can be graphed in real numbers.

Calc makes the intangible, managable.



I would cite regulation, but I know you will simply ignore it.

Rath on 24 September 2008
theprof00 said:
dtewi said:
Yes, 0.999999999............... does equal 1.

Let's use a simple algebraeic equation.

Let c = 0.999...

10c= 9.9999.....

10c -c = 9

9c/9 = 1.

c = c

1 = 0.999...

learned this is school today?

it's wrong. it's an over simplification.

 

Would you care to prove it wrong?

 



dtewi on 24 September 2008
Rath said:
dtewi said:
 

It is easy. What is infity minus infinity? Zero! What is Infity times one infityth? One! Or alternatively, what is infinty divided by infity? One! What is infinity times 1? Infinty!

 

I hope that is sarcasm. Infinity isn't a number it is a concept.

 

Clearly exclamation marks don't make sarcasm recognizable.

 



Kimi wa ne tashika ni ano toki watashi no soba ni ita

Itsudatte itsudatte itsudatte

Sugu yoko de waratteita

Nakushitemo torimodosu kimi wo

I will never leave you

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HappySqurriel on 24 September 2008
theprof00 said:
dtewi said:
Yes, 0.999999999............... does equal 1.

Let's use a simple algebraeic equation.

Let c = 0.999...

10c= 9.9999.....

10c -c = 9

9c/9 = 1.

c = c

1 = 0.999...

learned this is school today?

it's wrong. it's an over simplification.

 

It really isn't ...

On the left hand side of my equation I will deal with numbers using fractions, on the right hand side of my equation I will deal with numbers using decimals

1 = 1

1/3 = 0.333...

(1/3)*3 = (0.333...)*3

1 = 0.999...

 

 



Rath on 24 September 2008
dtewi said:
Rath said:
dtewi said:

It is easy. What is infity minus infinity? Zero! What is Infity times one infityth? One! Or alternatively, what is infinty divided by infity? One! What is infinity times 1? Infinty!

 

I hope that is sarcasm. Infinity isn't a number it is a concept.

 

Clearly exclamation marks don't make sarcasm recognizable.

 

Well no, not really. You could just have been getting excited about maths, I do that sometimes.

 



steven787 on 24 September 2008
HappySqurriel said:
theprof00 said:
dtewi said:
Yes, 0.999999999............... does equal 1.

Let's use a simple algebraeic equation.

Let c = 0.999...

10c= 9.9999.....

10c -c = 9

9c/9 = 1.

c = c

1 = 0.999...

learned this is school today?

it's wrong. it's an over simplification.

 

It really isn't ...

On the left hand side of my equation I will deal with numbers using fractions, on the right hand side of my equation I will deal with numbers using decimals

1 = 1

1/3 = 0.333...

(1/3)*3 = (0.333...)*3

1 = 0.999...

 

 

 

Now, I see that you guys want to keep insisting that 1/3 = .333333.  it doesn't it's ~.



I would cite regulation, but I know you will simply ignore it.

SmokedHostage on 24 September 2008
Kasz216 said:
It basically just shows that decimal points suck and aren't percise.

 

 Fractions are better.



Pixel Art can be fun.

Rath on 24 September 2008
steven787 said:
HappySqurriel said:

It really isn't ...

On the left hand side of my equation I will deal with numbers using fractions, on the right hand side of my equation I will deal with numbers using decimals

1 = 1

1/3 = 0.333...

(1/3)*3 = (0.333...)*3

1 = 0.999...

 

 

 

Now, I see that you guys want to keep insisting that 1/3 = .333333.  it doesn't it's ~.

 

I would argue that 0.(3) is the decimal representation of 1/3 as it is infinitely long. Basically it's better to present a recurring number as a fraction as it's less ambigious but they are equivalent.