0.0r1=0. Duh! .000000000000000000000000000000000000000000000000000000000...1! I know of another way to prove that 0.9r=1. Let x=0.9r 10x=9.9r (.99999999999999999999...*10=9.99999999999999999999...) 10x-x=9.9r-0.9r 9x=9 x=1 0.9r=1 See? No divide by 0s or any of that mathematical nonsense!
I think the 'r' was supposed to stand for repeating, 0.9r=0.99999... One thing I wish though is that people wouldn't write crap like 0.0r1=0.00...001, like there's some kind of last decimal place after an infinite number of other digits. Sigh.
Holy shit batman, why is this thread still alive? 1+1=2 and 1x+1y<>2 if the x & y quantities dont balance the left side of the equation. Somsone shoot this thread please!
In math, why would you have to spend 300+ pages proving that 1+1=2. Isn't that the definition of 2? I apologize for my usage of r. I noticed that other people were using it.
That seems pretty sad. I hated having to do all these proofs in high school. BASIC INUITION!!! Actually, reflexive property of equalitiy: 1+1=1+1 Definition of 2: 1+1=2 Transitive property of equality: 1+1=2
But again, you just assume that 1+1 must always equal the same thing. Maybe sometimes 1+1 equals one thing, and other times it equals another. Then you could only define "2" as "the result of 1+1" if you were willing to allow 2 to have more than one value. Of course it seems intuitive that 1+1 could only ever result in one possible value, but in math that doesn't count for much. Intuition is often wrong.
Reflexive property of equality. For any a, a=a. if a is defined as 1+1, then by reflexivity, 1+1 always equals 1+1.
Yes, but this doesn't prove that 1+1 can only ever have one possible value. By the reflexive property of equality 4^0.5 = 4^0.5, but 4^0.5 could equal +2 or -2. How do we know that there aren’t more than one possible answer for 1+1, just as there are more than one possible value for 4^0.5? I could see it taking many pages of set theory to prove that.
1+1=whater the value of 1 may equal. In cryptology we use this inorder to encode things for example:"1"=5 and "2"=6 then 1+2=11 This has to be the only way other than change of base that 1+1 may equal something other than 2. Please Register or Log in to view the hidden image!
How many legs does a dog have if you call the tail a leg? Four. Calling a tail a leg doesn't make it a leg. - Abraham Lincoln I don't necessary agree with Mr Lincoln, but I acknowledge his point.
No it isn't false. 0.9r is the limit of the sequence 0.9, 0.99, 0.999, .... In other words, it's 1, end of story. This is how a decimal is defined, it's just a convenient shorthand for an infinite series (though it becomes finite if your decimal is terminating). This goes beyond false and enters the realm of meaningless. There is no decimal with a 1 following an infinite number of decimal places, there is no "last" decimal place.There's no smallest positive real number, no "infintessimal" real number.
Just wondering: 0.9999r.... =1 0.8888r.... does not equal 0.9, correct? 0.8999r.... does this equal 0.9? 0.0999r.... does this equal 0.10? Or does such convention only apply to whole numbers? As anyone can see, I am not a mathematician, I am just curious.
Correct, it's 8/9. Yes and yes. It's not so much a convention as it is a consequence of the definition of a decimal.
