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Denali

Does 0.9999... equal 1?

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reo   
12 hours ago, Starkiller said:

And yet you could graph x^y and see it visually.

 

If x=1 it would be flat and the value always equal 1.

 

If x=.9999.... then the value would continue approach 0 the higher y gets.

 

Thus 1 > .99999999...

Clever.

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Denali   
15 hours ago, Starkiller said:

And yet you could graph x^y and see it visually.

 

If x=1 it would be flat and the value always equal 1.

 

If x=.9999.... then the value would continue approach 0 the higher y gets.

 

Thus 1 > .99999999...

The key is to understand what infinity truly means.

 

The best way to see it is by using infinite series and sequences.

 

So, from Wikipedia:

 

Math.JPG.ce3e24dd5f785c4213932ad24a3eb156.JPG

 

I think the confusion is notational.  Expressing an infinite series using decimal notation sucks ass.

 

And IMHO, the commonly seen algebraic proof given in an earlier post is nonsense because x may not be cancellable.

Edited by Denali

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9 Nines   

You cannot just add a bunch of 9s.  If you note something is 0.99999 scientifically you are claiming you measured it to the 5th 9. You would need equipment, not likely available to make a real world measurement of 0.99999999999999...9+

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reo   
On 2/13/2019 at 8:17 PM, titanruss said:

The answer is clear and obvious. 1 is always bigger but after a certain number of digits it doesn’t matter anymore. 

Which is why i said in a scientific or mathematical terms, 1 is greater but in terms of engineering, they're equal. 

 

I'd say x^y where y =1 or .99 (underline due to no overbar to show repeating) would eventually show the difference if plotted together. 

Edited by reo

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8=====👊=D

8====👊==D

8===👊===D

8==👊====D

8=👊=====D

8👊======D

8=👊=====D

8==👊====D

8===👊===D

8====👊==D

8=====👊=D

8======👊D💦

                            💦

                                💦

                                  .99999

                           

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patsplat   

The algebra argument is dumb and wrong.  The precision argument is more meaningful.

 

Does $999,999.99 equal $1 million?

 

No, but it’s often close enough.

 

 

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OILERMAN   
7 minutes ago, patsplat said:

The algebra argument is dumb and wrong.  The precision argument is more meaningful.

 

Does $999,999.99 equal $1 million?

 

No, but it’s often close enough.

 

 

 

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