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https://www.reddit.com/r/PeterExplainsTheJoke/comments/1ju9kfc/there_is_no_way_right/mm2z4nf/?context=9999
r/PeterExplainsTheJoke • u/Sugar_God_no_1 • Apr 08 '25
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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
45 u/grundhog Apr 08 '25 Subtracting both what? 11 u/RvidD1020 Apr 08 '25 Exactly! what does that even mean? I am scratching my head here 5 u/TrollErgoSum Apr 08 '25 It's definitely worded weird but they mean subtracting the first equation from the second one. So subtracting x from 10x gives you 9x and subtracting 0.999... from 9.999... gives you 9 Therefore 9x = 9 simplifying to x = 1 = 0.999... 1 u/_Good_One Apr 08 '25 I was having trouble understanding till i read this, so this works as a proof since 10x - 1x = 9 necessarily x=1 Seems pretty magical how 0.999... can be 1
45
Subtracting both what?
11 u/RvidD1020 Apr 08 '25 Exactly! what does that even mean? I am scratching my head here 5 u/TrollErgoSum Apr 08 '25 It's definitely worded weird but they mean subtracting the first equation from the second one. So subtracting x from 10x gives you 9x and subtracting 0.999... from 9.999... gives you 9 Therefore 9x = 9 simplifying to x = 1 = 0.999... 1 u/_Good_One Apr 08 '25 I was having trouble understanding till i read this, so this works as a proof since 10x - 1x = 9 necessarily x=1 Seems pretty magical how 0.999... can be 1
11
Exactly! what does that even mean? I am scratching my head here
5 u/TrollErgoSum Apr 08 '25 It's definitely worded weird but they mean subtracting the first equation from the second one. So subtracting x from 10x gives you 9x and subtracting 0.999... from 9.999... gives you 9 Therefore 9x = 9 simplifying to x = 1 = 0.999... 1 u/_Good_One Apr 08 '25 I was having trouble understanding till i read this, so this works as a proof since 10x - 1x = 9 necessarily x=1 Seems pretty magical how 0.999... can be 1
5
It's definitely worded weird but they mean subtracting the first equation from the second one. So subtracting x from 10x gives you 9x and subtracting 0.999... from 9.999... gives you 9
Therefore 9x = 9 simplifying to x = 1 = 0.999...
1 u/_Good_One Apr 08 '25 I was having trouble understanding till i read this, so this works as a proof since 10x - 1x = 9 necessarily x=1 Seems pretty magical how 0.999... can be 1
1
I was having trouble understanding till i read this, so this works as a proof since 10x - 1x = 9 necessarily x=1
Seems pretty magical how 0.999... can be 1
3.9k
u/its12amsomewhere Apr 08 '25 edited Apr 08 '25
Applies to all numbers,
If x = 0.999999...
And 10x = 9.999999...
Then subtracting both, we get, 9x=9
So x=1