streme Wheelie
Recognized Member
I wish I was smart enough to take all this higher level maths. It is quite brilliant, I just fail at grasping it.
I'll try to explain the concept for everyone who, like me, has no idea what is going on and you smarter people tell me if I'm correct.
Even though .9... is not a rational number, it is still equal to the number 1, as there is no number between them. Y/N? Also, does this mean that 1 == 1.1..., and therefore .9...==1.1...?
YOriginally Posted by Jiro
Nope, 'cause 1.1 recurring is higher than 1.1, which is higher than 1.09, and so on. You can get numbers that are lower than 1.1..., but higher than 1.Also, does this mean that 1 == 1.1..., and therefore .9...==1.1...?
streme Wheelie
Recognized Member
Yeah, I thought about that, but wasn't sure.
hey,0.999... is in fact rational,because it is a repeating decimal.
"I'll tell you one thing... The truly mighty ones don't flaunt their power. How can I describe it to you? The sly eagle hides its claws."
-Zidane Tribal, Final Fantasy IX
No. 0.999... is a rational number because it is a repeating decimal that can be represented as a relationship between two integers (9/9, or 1).
And how do you conclude that 1 = 1.1...? 1.1... is 10/9, not 1. And that's easy to see, because there's an infinite amount of numbers between 1 and 1.1... (i.e., 1.01, 1.001, 1.0001, etc.).
streme Wheelie
Recognized Member
I don't conclude anything, I was trying to make sense of it because my brain is smaller than everyone else's on here ^__^
This is rather counter-intuitive. At least you're accepting it instead of vehemently arguing against it. Ignorance by itself and be forgiven and rectified.
jiro, try 1.099999999999999999999999999999999999etc = 1.1
Considering how many people tend to argue against this equality, is the equality very easily understood by mathematicians / math students of a certain level?
I am just imagining a room full of professors arguing that 0.9999... is not equal to 1
Nah, I doubt any serious math professors argue about this ever, because it's been very conclusively demonstrated. It's only counter-intuitive until you understand limits, and then it all fits. So basically, only lay people tend to argue about it, as shown by the biggest arguments about this are found on video game message boards.
I didn't even think this would be argument worthy. I was just really bored and, for some reason or another, remember that one guy in my Trig Class getting all uppity about it not being true. XD
0.999 is definitely equal to 1, anyone who said otherwise in this thread is a raving lunatic
Kefka's coming, look intimidating!
Have a nice day!!
Professors only ever talk about this on the first day of introducing series and sequences (if that). Otherwise, students go to their Discussion classes, the topic is brought up, and the TA simply goes on and proves it, to the amazement of all of the math students in the classroom. Frequently, the only expression to explain it is "oo," "cool," and "awesome." There's no objection, because it's trivial.Nah, I doubt any serious math professors argue about this ever, because it's been very conclusively demonstrated. It's only counter-intuitive until you understand limits, and then it all fits. So basically, only lay people tend to argue about it, as shown by the biggest arguments about this are found on video game message boards.
More people in this thread just need their Calculus II.
streme Wheelie
Recognized Member
I'm not going to argue against something that requires knowledge outside of my own to understand. One day I hope to fully understand why, rather than just knowing it's true.
Still, I find it funny that so many people argue the point.
Incorrect sir. 0.999 equals no such thing.
0.999... however equals one.
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