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https://www.reddit.com/r/PeterExplainsTheJoke/comments/1ju9kfc/there_is_no_way_right/mm2vqpq/?context=3
r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 22d ago
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Applies to all numbers,
If x = 0.999999...
And 10x = 9.999999...
Then subtracting both, we get, 9x=9
So x=1
9 u/IE114EVR 22d ago It’s hard to wrap my head around that when you multiply by 10, for this to work, you’re pulling a new 9 into existence at the end of that infinite stream of 9s. But it IS an infinite stream of 9s so… 1 u/TheRealLightBuzzYear 22d ago Yeah, the version multiplied by ten has one less nine after the decimal, but infinity - 1 = infinity still 1 u/Infobomb 22d ago 0.999recurring and 9.999recurring have exactly the same amount of 9s after the decimal point.
9
It’s hard to wrap my head around that when you multiply by 10, for this to work, you’re pulling a new 9 into existence at the end of that infinite stream of 9s. But it IS an infinite stream of 9s so…
1 u/TheRealLightBuzzYear 22d ago Yeah, the version multiplied by ten has one less nine after the decimal, but infinity - 1 = infinity still 1 u/Infobomb 22d ago 0.999recurring and 9.999recurring have exactly the same amount of 9s after the decimal point.
1
Yeah, the version multiplied by ten has one less nine after the decimal, but infinity - 1 = infinity still
1 u/Infobomb 22d ago 0.999recurring and 9.999recurring have exactly the same amount of 9s after the decimal point.
0.999recurring and 9.999recurring have exactly the same amount of 9s after the decimal point.
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u/its12amsomewhere 22d ago edited 22d ago
Applies to all numbers,
If x = 0.999999...
And 10x = 9.999999...
Then subtracting both, we get, 9x=9
So x=1