/sci/ - Science & Math

>>10416392
What do you mean when you write 0.999...?
Have you learned yet that 0.999... is the decimal expansion of the real number 1? If not, then what grade are you in? 5th?

let x = 0.999...
9x = 10x - x = 9.999... - 0.999... = 9 <=> x = 1

>>10416414
The idea is that 0.9... exists in the set of 0 not 1. I know that one cant >pinpoint< the difference between 0.9... and 1, so the idea is to create a conceptual infintesimal.

>>10416438
The problem is that 10x of a finite number results in a loss of 1 decimal place, and 9x is 8.9..1
How can the irrational 10x0.9... retain infinite (or equal) decimal places to 1x0.9...

>>10416502
Reminder that infinitesmimals aren't numbers. Reminder that if the difference between two numbers is 0, they are are equal to each other. Reminder OP is a fag.

>>10416502
>results in a loss of 1 decimal place
[citation needed]

>>10416392
>You don't have to tell me twice! But during the Stone Age, you'd tell a caveman more than twice.
What he actual fuck did Christina mean by this

0.9=1-0.1
0.99=1-0.01
0.999=1-0.001
0.9999=1-0.0001
0.99999...=1-0.0000...=1

>>10416544
Caveman are dumb.

>>10416392
>Theorem: If x and y are real numbers with x < y, there exists a rational number r such that x < r < y

Find me any r

>>10416502
You are confused. 0.999... is not an irrational number. 0.999... is the number 1.

1/3 = 0.333...
Surely you don't believe 1/3 is an irrational number?

>>10416392
didn't read lol

>>10416502
>The idea is that 0.9... exists in the set of 0 not 1.
how
> I know that one cant >pinpoint< the difference between 0.9... and 1, so the idea is to create a conceptual infintesimal.
fucking
>The problem is that 10x of a finite number results in a loss of 1 decimal place
retarded
>How can the irrational 10x0.9..
can
> retain infinite (or equal) decimal places to 1x0.9...
you be?

>>10416392
True story - Chrischan used to sit in the lobby of my college's library and loudly play video games while wearing his signature horizontally striped shirt and his homemade Sonichu pendant. He gave my girlfriend a letter that asked if she would be his girlfriend. She threw it out and I never forgave her for that.

>>10416392
Depends on the physical phenomena you are modelling.

>>10416392

>>10417185
Damn, your dumb gf made Chris trans