# 0.99~=1

Discussion in 'Mathematics and Physics' started by rumiam, Apr 17, 2007.

1. ### rumiamNew Member

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0.99 -continuious- = 1

2. ### dch222Member

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So that's why I can't get my tomatoes to germinate

3. ### PapabravoWell-Known Member

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Is there a question, or are you just trying to be an obscure PITA?

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5. ### rumiamNew Member

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Amen dch222.....Amen

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7. ### ericgibbsWell-Known MemberMost Helpful Member

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If you are trying to suggest that 0.999' recurring is equal to the number '1', then you are not in same universe as the rest of us!

Dont forget infinity.

8. ### bloody-orcNew Member

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there is no number 1 in this world... it is almost 1, but not 1... x->1 (i don't know the correct english term for it, sorry).it's 0.999..9
same for 2, 3 and all other numbers.

9. ### Marks256New Member

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Don't understand the original post... but this does bring me to a question i have had for a long time;

What is 1-.99(repeating) (one minus zero point nine repeating)???

In theory it would be .[infinite number of zeros] with a one at the end, but that is really not a "usable" answer.

What would it be?

10. ### rumiamNew Member

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Do the math to prove that 0.99 -repeating- does not equal 1
I want you to take it out to the very last decimal point to prove that it couldnt possibly be 1

11. ### Marks256New Member

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Perhaps it's an obscure reference to quantization error? I mean mathematically it's obviously false, probably some even more obscure joke going around in math circles, kind of like a 'left handed smoke shifter' or '50 feet of shore line' was in the boyscouts. In any measuring system in the real world though after a certain number of decimal places the ambient noise inherant in the measurment and quantum uncertanty can make what should be .99~ appear the same as 1?

13. ### arodNew Member

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0.999... is mathematically equivalent to 1.

1/3 = 0.33...
2/3 = 0.66...
3/3 = 0.99...

Poor man's proof

Or you could use limits to prove this.

14. ### ljcoxWell-Known Member

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0.9999 approaches 1 as the number of decimal places approaches infinity.

0.3333 approaches 1/3 as the number of decimal places approaches infinity.

End of story.

15. ### gramoNew Member

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I'm sold on that

16. ### PommieWell-Known MemberMost Helpful Member

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I remember a lecturer asking, if 1 over infinity equals zero and 1 to the power of infinity equals 1 then what is 1 plus 1 over infinity all to the power of infinity. (1+1/∞)^∞

I was surprised at the result.

Mike.

17. ### gramoNew Member

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... And the result is lol?

(1+1/∞)^∞

(1+0)^∞

(1)^∞

1?

Last edited: Apr 18, 2007
18. ### OptikonNew Member

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1 + X = X for large values of X
1 + 2 = 2 for large values of 2

19. ### gramoNew Member

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Why does 1 + X = X?

What’s the analogy behind it?

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If X is infinity.

21. ### gramoNew Member

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That’s understandable, because Infinity is an undefined value.

But 'large' values of 2 does not.

1 + 2 = 4 For large values of 2

Because 2.99' can be thought of as 3, as its always drawing closer to 3,

so 1 + 3 = 4