this post was submitted on 26 Jun 2024
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I feel it is my pedantic duty to inform you that 99.9... is equal to 100.
Only if you're rounding. 99.9 is still 1/10 of a digit separated from 100, but it's not equal to 100 for good reason.
But the "...." matters.
It only signifies that the post-decimal nines are repeating infinitely. It still doesn't make 99.99999...=100 unless you intentionally round the value for some nondescript reason, and even then, rounding off isn't changing the value, only the perceived value for mathematical simplicity, not objective accuracy.
".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. 👀🫠
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