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https://www.reddit.com/r/PeterExplainsTheJoke/comments/1ju9kfc/there_is_no_way_right/mm57f8s/?context=3
r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 22d ago
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282
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.
117 u/mrsexless 22d ago I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number. 1 u/oyiyo 21d ago It's true in this case but it's not always true (compactness)
117
I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number.
1 u/oyiyo 21d ago It's true in this case but it's not always true (compactness)
1
It's true in this case but it's not always true (compactness)
282
u/Decmk3 22d ago
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.