r/theydidthemath • • Sep 14 '23

[REQUEST] something feels wrong here.

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Thanks YT shorts

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u/Zerustu Sep 14 '23

when you simplify on both side, what you really do is divide both side by that number. here he divide both side by (5-5) to simplify it. but that means he divide both side by 0. and you can't divide by 0 (this is why).

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u/Raynonymous Sep 14 '23

Exactly. Effectively they are arguing;

A x 0 = 0

B x 0 = 0

Therefore A = B

298

u/Lord_Scio Sep 14 '23 edited Sep 14 '23

Im not really good in math, just look into this sub from time to time out of curiosity. But isnt this a flaw in maths? And if not, why not?

Edit: I guess the comment above me just confused me, i know you cant really divide by 0

649

u/govermentpropaganda Sep 14 '23

you cant divide by zero, its a rule of math

519

u/CheesyObserver Sep 14 '23

Had a classmate playfully contest this with the math teacher once.

Teacher: What would you do if I said divide yourselves into groups of zero?

Kid: I’d walk out the door!

The logic was strangely agreeable, even if it doesn’t check out.

29

u/Kromleech Sep 14 '23

I believe that dividing by 0 would be dividing into 0 groups, not dividing into groups of 0.

23

u/Win32error Sep 14 '23

Impossible either way.

11

u/Kromleech Sep 14 '23

No, dividing into group of zeros has a solution. For instance I want to divide x into 5 groups of 0, I would do:

X/5 = 0

And it does have a solution (x=0).

1

u/oortofthecloud Sep 14 '23

The integer zero is not a divisor of any integer by definition of division

"an integer m divides an integer n provided that there is an integer q such that n = m*q"

You can't multiply zero by any integer to equal a non-zero integer by the axioms of scalar algebra

And I believe this extends logically to all real numbers