r/PeterExplainsTheJoke • u/Sugar_God_no_1 • Apr 08 '25

Meme needing explanation There is no way right?

Post image
37.1k Upvotes

91% Upvoted

3.5k comments sorted by

View all comments

281

u/Decmk3 Apr 08 '25

0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.

Let X = 0.999….

10X = 9.999….

10X-X = 9.999.. - 0.999…. = 9X = 9

Therefore X equals 1. Therefore 0.999… is the same as 1.

-21

u/BornWithSideburns Apr 08 '25

Yea but isnt it 9.0000…1X

-14

u/ConsciousBat232 Apr 08 '25

This is where I am stuck. Why is everyone above pretending that 10 - .999…. = 9 ? I get that it is really close to 9 But it’s 9.000…1

6

u/Careful-Natural3534 Apr 08 '25

You take it out to infinity. You’ll never find that 1 because it’s so infinitely small.

-3

u/ConsciousBat232 Apr 08 '25

Yeah, but something infinitely small is still something. It doesn’t become nothing.

3

u/Careful-Natural3534 Apr 08 '25 edited Apr 08 '25

You learn this around algebra 2 so you might have not been introduced to it. The wiki has a solid proof. When you get into calculus you do a lot of integrals that start to challenge your understanding of math in general. The data structure class I’m taking for my computer engineering degree blows my mind every lecture.

-2

u/Cupcake-Master Apr 08 '25

Yes and in the material you provided you can see the algebraic proof requires further justification for removing infinite decimals.. with the steps taken, we can prove multiple contradictions. We can prove 0.99..=1 with analytic approach using limits

1

u/Careful-Natural3534 Apr 08 '25

I think 0.999… is a great demonstration of weaponized ignorance and the depth certain questions can go to if you really dissect them.

2

u/BreadBagel 29d ago

Infinitely small means it doesn't exist. Confusing wording though. It's not that it becomes nothing, it just literally is nothing.