Today while thinking about PI and infinite numbers I came to the conclusion that 0.9999999.... (going on infinitely) = 1. Why?
1 / 3 = 0.333333333333333.......
3 * 3 = 9
0.3333333333333333....... * 3 = 0.9999999999999999...............
Thus, the math laws I thought I knew are put on trial. And lost.
UPDATE:: I googled this problem, and found this website: http://www.purplemath.com/modules/howcan1.htm
That puts it like this:
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999... = 9 = 9x
9x = 9
x = 1
1 / 3 = 0.333333333333333.......
3 * 3 = 9
0.3333333333333333....... * 3 = 0.9999999999999999...............
Thus, the math laws I thought I knew are put on trial. And lost.
UPDATE:: I googled this problem, and found this website: http://www.purplemath.com/modules/howcan1.htm
That puts it like this:
x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999... = 9 = 9x
9x = 9
x = 1
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