I have heard all the arguements saying it is, not I wasnt all the ones saying it isn't. I'm rather scared I will catch stupidity by diffusion, but I'll be brave :-)
Please, no people answer telling me how it IS equal, your answer will be reported. My question only asks for proofs of it not being equal.
2007-01-15 08:15:14 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
well, think of it this way. if you start with .9 , that obviously is less than 1. but it's only .1 away. now when you add another 9 at the end, you've added .09, which is less than .1 , so you still haven't reached 1. so every 9 you add at the end, you decrease the distance from 1, but the amount it decreases is also decreasing, so you will never reach 1
2007-01-15 08:22:34 · answer #1 · answered by Sunian 4 · 1⤊ 1⤋
The difference between 1 and .999 repeating is an infinitely small fraction of a whole number, but 1 and .999 repeating (as written) aren't quite exactly the same.
Take the fraction 1/3 as an example. 1/3 multiplied by 3 is 1 (whole). But as a decimal (.3333 repeating), if you multiply that by 3 you have .999 repeating.
It's a weird flaw in the universal language of mathematics. (I'm not trying to prove how it is equal to 1, just throwing all of it out there).
2007-01-15 16:20:52 · answer #2 · answered by Mickey Mouse Spears 7 · 2⤊ 1⤋
It's just like the theory that if you cut something in half you will be half way there right? So you could infinatly cut something in half and you would (in theory) never make it there because you would infinatly be cutting things in half to make it there, so .999999999 may not equal to 1 because of theories that state it so. .9999999 may never equal one but get really really really really really close, but sense people tend to not care after about a million places (probably less) they just call it one, so people because people are lazy they call .9999(repeating) 1.
2007-01-15 16:36:30 · answer #3 · answered by Anonymous · 0⤊ 0⤋
If you can accept a definition as proof, then here it is: Any number that follows the decimal point is always smaller than one. Numbers that are equal to or larger than one are called integers or whole numbers.
2007-01-15 16:28:55 · answer #4 · answered by Anpadh 6 · 2⤊ 0⤋
99999(repeating) does not look like "1.0". ".99999" does not even have a "1" in it. It does round up to 1, but it does not equal it.
2007-01-15 16:32:58 · answer #5 · answered by Anonymous · 0⤊ 0⤋
This is not possible. the theory of 1. being equal to .9999 only applies to rounding numbers. this would then be a reflection of rounding the actual number not the "real" number.
2007-01-15 16:25:12 · answer #6 · answered by leidy101 2 · 0⤊ 1⤋
.99999 needs a .1 to make it equal to 1. Right?
It could be .00001 even it just will turn over in place values....
2007-01-15 16:20:05 · answer #7 · answered by AlienJack J 3 · 0⤊ 2⤋
Use the Gauss theorem
2007-01-15 16:23:24 · answer #8 · answered by andrade4sveta 2 · 0⤊ 0⤋
It is a simple matter of greater than and less than.
1.0000... -> infinity is greater than .9999....->Infinity
It is a mater of where you put the decimal point.
2007-01-15 16:23:02 · answer #9 · answered by Anonymous · 0⤊ 1⤋
A fraction or percent is not a whole number. case closed.
2007-01-15 16:25:55 · answer #10 · answered by Anonymous · 0⤊ 1⤋