Why is 0/0 undefined and not 0 or 1? : r/mathematics

There is a system in which 0/0 = 1, it's called the trivial ring . But this means that your system only has a single number, 0 = 1. Not very ...

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While many follow the convention of assigning 00 = 1 for practical reasons, others leave it undefined or return errors depending on the context of use, ...

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Short answer: Division by 0 is undefined. Full stop. The end. It does not mater what you are trying to divide into. Therefore, 0 ÷ 0 is ...

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An operation in math is "defined" when there is only one possible outcome. Since ANY number could be the value for 0/0, we simply say the operation is " ...

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The reason 0/0 is undefined is that it is impossible to define it to be equal to any real number while obeying the familiar algebraic properties of the reals.

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This means that while 0/0 = 1 , 0 * 1/0 = 0 . Division is only “multiply by the inverse” when the denominator isn't 0. All we've done is special ...

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The limit of the function yx at [0,0] does not exist. In fact it depends on the path used to approach 0. 0 ...

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The expression 0/0 is considered undefined in mathematics because division by zero is undefined. It doesn't have a single value, and it certainly isn't equal to ...

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