Why can’t 0 be divided by 0?

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This applies to any numbers being divided by 0 really. In all honesty, wouldn’t 0 divided by anything just be 0? There was nothing there to divide in the first place, so why expect there to magically be a resulting number when you divide nothing?

In: Mathematics

18 Answers

Anonymous 0 Comments

Here is the explanation I got that made a lot of sense to me: if we say 30/5 = 6, how do we check? We multiply both sides by 5: 30 = 5*6=30. True. Now let’s try with dividing by zero: 30/0 = a. No matter what value we pick for a, when we multiply we always get 30=0. That can never be true.
The only exception is 0/0. In this case, we could pick *any* value for a in the equation 0/0=a. When we multiply both sides, we always get 0=0, which is why this form is called indeterminate: it can be any value, we can’t determine which

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