Does 0.999~ = 1? [oldskool debate]

[thatguy1234]

They aren't. Rounding plays no part in this. 1/3 is .333~ therefore, 2/3 = .666~ and 3/3 = .999~ = 1



ohh so .999 = 1 doesnt represent the actual number 1 but 1 as in a sense of 1 whole?

 

[skillers]

Does .999999...etc. = 1?

No.
Absolutely not.

 

[Imagine]

They aren't. Rounding plays no part in this. 1/3 is .333~ therefore, 2/3 = .666~ and 3/3 = .999~ = 1



ohh so .999 = 1 doesnt represent the actual number 1 but 1 as in a sense of 1 whole?

.999~ is 1. They are the same number in any representation. It's just two different ways to write it.

Does .999999...etc. = 1?

No.
Absolutely not.

It does. Please show proof otherwise.

 

[The Pkkid V6]

1/3 = 1/3, when put in decimal 1/3 = .33333333333 but continous because it can't actually be fully expressed as a decimal, if you're saying 1/3 x3 = 1, that's fine but .99999999999999999~ doesn't because it's a different number, and could be so close to it , but isn't it .
I suppose it depends on the context, because 3/3 = 1, and if you're doing 1/3 + 1/3 + 1/3 but in decimal form and that's what intended, then .9999~ =1 , but otherwise no it doesn't .

 

[Jimmy]

I suppose it depends on the context, because 3/3 = 1, and if you're doing 1/3 + 1/3 + 1/3 but in decimal form and that's what intended, then .9999~ =1

That's exactly what is meant by it.

but otherwise no it doesn't .

Mathematics isn't situation. If they are equal in that one case, they are equal in all cases. Just as the number one can be expressed by different fractions (3/3, 4/4),the number one can be expressed by different decimals (1.0, 0.(9)).

 

[Imagine]

That's exactly what is meant by it.



Mathematics isn't situation. If they are equal in that one case, they are equal in all cases. Just as the number one can be expressed by different fractions (3/3, 4/4),the number one can be expressed by different decimals (1.0, 0.(9)).

Exactly.

Another definition of two different numbers: Two numbers in which there is a number between them in value.

Find me a number between .9~ and 1. You can't. It doesn't exist.

 

[Insidious Insinuations]

Exactly.

Another definition of two different numbers: Two numbers in which there is a number between them in value.

Find me a number between .9~ and 1. You can't. It doesn't exist.

Uhh, your definition isn't correct.

Simple logic, what about two different numbers that are just one off by 0.000...1 and the 0s being a relatively infinite amount? To make it easier to understand - take finite numbers for example... 2 and 3 are different numbers but there are no finite numbers between them.

 

[Jimmy]

Uhh, your definition isn't correct.

Simple logic, what about two different numbers that are just one off by 0.000...1 and the 0s being a relatively infinite amount?

Infinitesimally small numbers don't exist.

To make it easier to understand - take finite numbers for example... 2 and 3 are different numbers but there are no finite numbers between them.

2.5?

 

[MohtasaUnique]

Infinitesimally small numbers don't exist.



2.5?

Just throwing it out there, when dealing with atomic matter, there is no 2.5 because half an atom isn't an atom anymore. It becomes 2 atoms and x/2 number of quirks where x is the atomic number of the atom.

 

[Noam]

Infinitesimally small numbers don't exist.



2.5?

Irrational numbers don't exist either, but they are still a logical basis for mathematical theory
EDIT: 800 POSTS
EDIT2: Found this on wikipediea and Lol'd

The Straight Dope cites a discussion on its own message board that grew out of an unidentified "other message board ... mostly about video games". In the same vein, the question of 0.999... proved such a popular topic in the first seven years of Blizzard Entertainment's Battle.net forums that the company issued a "press release" on April Fools' Day 2004 that it is 1:

We are very excited to close the book on this subject once and for all. We've witnessed the heartache and concern over whether .999~ does or does not equal 1, and we're proud that the following proof finally and conclusively addresses the issue for our customers.[45]
​

Two proofs are then offered, based on limits and multiplication by 10.

Wikipedia says that there is a reason that 0.999~ = 1, but I don't get it.