FOr some reason a guy I went to school with couldn't bring himself to believe this statement, though I shall show you two ways in which it is true, and you can try to disprove it.
1/3=.333.....
2/3=.666.....
1/3 + 2/3 = 3/3 = 1
.333... + .666... = .999...
There fore, 1=.999....
Next up, imagine a number line. No two different numbers can occupy the same space. So, mathametecly, there will always be space between numbers, therefore there if there is no space between two numbers, they must occupy the same point.
SO, can anyone here tell me what number exists between 1 and .999....?
If not, logically, they occupy the same space, and are therefore the same number.
For those of you who dont' get the .... proceeding the nines, it means the nine is infinitely repeating.
Discuss.