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well 0.9999... is actually 1 because
x = 0.9999... 10x = 9.9999... 10x (9.9999...) - x (0.9999...) = 9 9x = 9 x = 1 so 0.9999... is 1
50 5 ReplyThis is muuuch better demonstrated by
1/3 = .33... 2/3 = .66... 3/3 = 0.99...
"Repeating" matters in approximations
44 0 ReplyYes, but 0.99999999999999999999 isn't 0.999... and therefore not 1, so it's still wrong.
29 2 ReplyThe software is wrong yes. I just had to share this information.
10 1 Reply
your 4th line reads as 10x^2 - x^2 = 9
8 1 ReplyYou know I didn't mean it like that, but you are technically right.
5 1 Reply
First thing that came to mind was this video by SingingBanana.
Great maths channel and he is a frequently on numberphile as well.
3 0 Reply0.999... is lim(1), not 1.
3 11 Reply1 is a constant so lim(1) = 1
2 0 Reply
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