this post was submitted on 26 Jun 2024
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".9..." is repeating, but rational. So it's actually "1" . Let's do the math.
.9... / 3 = .3...
.3... = 1/3
1/3 x 3 = 3/3
.9... = 3/3
3/3 = 1
.9... = 1
Still not convinced? We'll use algebra instead of fractions.
0.9... = x
10x = 9.9...
10x - 0.9... = 9
9x = 9
x = 1
So why is it represented as 99.999... Instead of just 100? It's because you're forgetting the fact that fractions and decimals are infinite depending on the magnification. 99.9999... literally goes on forever. That means that no matter how close it gets to 100, it will never be equivalent to 100.
It's like how you can know infinitely nothing and still think you know everything. ๐๐ซ
https://en.m.wikipedia.org/wiki/0.999...
It's because we can write numbers in many ways. 9900/99 is 100 just as surely as 99.99... is.
Love how you fight this to the death in a thread where people are discussing how a scientific mindset is so important.
See: https://lemmy.world/comment/10840766