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Mythbusters (mander.xyz)

submitted 2 months ago by [email protected] to c/[email protected]

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[-] [email protected] 3 points 2 months ago* (last edited 2 months ago)

".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

[-] [email protected] -3 points 2 months ago

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. 👀🫠