I don't understand just why

so apparently 0 divided by 0 is just undefined. I don't understand at all why, seeing that its pretty much just everything. My opinion is that 0 divided by 0 is actually any number, that there is no wrong answer, only correct ones. But I'm not a professional, so somebody help me with this.

Note by Odin Wang
10 months, 1 week ago

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undefined‾\text{un} \underline{\text{defined}} is literally not defined, which means we don't know. Division by Zero is undefined as of now. This is because it leads to crazy stuff like this -

00=0×10⇒0×1=10⇒10=0  ⟹  1=0 which isn’t true.....\dfrac{0}{0} = \dfrac{0 \times 1}{0} \Rightarrow 0 \times 1 = \dfrac{1}{0} \Rightarrow \dfrac{1}{0} = 0 \implies 1 = 0 \ \text{which isn't true.....}

A Former Brilliant Member - 10 months, 1 week ago

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@Odin Wang

A Former Brilliant Member - 10 months, 1 week ago

hmm

Odin Wang - 10 months, 1 week ago

definitely some kind of science behind this, @Percy Jackson

Odin Wang - 10 months, 1 week ago

I usually define it as "infinity" for reasons similar to what you've laid down, but it's considered just "undefined" in math as a whole I think. Could be wrong, I'm only studying.

Holly Slater - 10 months, 1 week ago

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🤔, same here, but undefined literally means the same thing as “there is no answer”, IMO. So anything that’s not zero divided by zero would be undefined, but 0 divided by zero has answers, but just like some graphing equations, has infinite answers.

Odin Wang - 10 months, 1 week ago

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actually more like one answer: 0

Odin Wang - 10 months, 1 week ago

Yes, basically if 1 divided by 0 = ∞,

then ∞ x 0 = 1

then, (∞ x 0) + (∞ x 0) = 2

but (∞ x 0) + (∞ x 0) = 2 and

(∞ x 0) + (∞ x 0) = (∞ + ∞) + (0 + 0) = 2

literally meaning 1 =2 which is impossible

Prakash Kallanmarthodi - 10 months, 1 week ago

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I see

Odin Wang - 10 months, 1 week ago

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Ok

Prakash Kallanmarthodi - 10 months, 1 week ago
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