Let me work this out in a problem to show people. Let's say our x = .9999 (repeating) 1.) So that would mean that 10x = 9.999 (repeating) 2.) 10x - x = 9 (9.999 - .9999 = 9) 3.) so 9x = 9 4.) Which means x = 1 once it is reduced! I heard about this from like all my math teachers they were freaking out. Just thought I'd share it so people in school can seem smart .
0.9999 x 10 is 9.999 (9.9990) not 9.9999 And so it won't be equal to 9. Unless you are referring to recurring decimals.
I think I fixed it now, I had to let everyone know that it is .9999 REPEATING not just .9999 because then there would be zeros tagged.
But let's say if the decimal in x = 0.9999 is a recurring one, and recurs for a infinite number of times. Multiplying it by ten will make the product (9.999) having it's decimal recur for (infinity - 1) times. And so, the theory will not work. (I might be wrong as I suck at maths.)
hmm im not quite sure what you mean but I will talk to a teacher and ask her about that But from how I wrote it out it seemed as if it would work!
calypso, if you have 9.999 - .9999 you dont get 8.991 you get 9 make sure to use the 9's as a repeating number after the decimal at least hand written work and TI-83 shoes that
But if you write like that in a maths test you lose marks for having the wrong nomenclature. And... You won't get 9.
I'll take all this to the teacher and try to get bonus points for proving this theory wrong lol. BTW, what grade are you in buffet?
I'm 16. (I'm Secondary 4 in Singapore, I don;t know what's the equivalent in your country.) Check out wikipedia (recurring decimals). It says 0.99999999999999 recurring is actually equals to one. But not in the steps you've mentioned. In fact, the steps you mentioned is even stated to be wrong. And good night. I gotta sleep now. School tmr.