Why can you never divide by zero?

Question

anonymous · Answer

Because the answer would be undefined.

skullpatrol · Answer

What do you mean?

anonymous · Answer

because you can then create a bunch of false proofs such as 2=1. Notice the last step of the following false proof is actually just division by zero:
      
     a = x            [true for some a's and x's]
   a+a = a+x          [add a to both sides]
    2a = a+x          [a+a = 2a]
 2a-2x = a+x-2x       [subtract 2x from both sides]
2(a-x) = a+x-2x       [2a-2x = 2(a-x)]
2(a-x) = a-x          [x-2x = -x]
     2 = 1            [divide both sides by a-x]

anonymous · Answer

Because when you get a smaller and smaller number in the denominator the number gets larger and larger (assuming it is positive) for example 1/0.00001 is much larger than one. If its 1/0 it would be infinitely large following the same trend.

zepp · Answer

Let c (result) be $\LARGE \frac{a}{b}$, if b was 0, then $\large cb=a$, we need to find a number $a$ that could be the answer to $c*(0)$, and for all $c$, a would always be 0. In this case, we leave this undefined.

sirm3d · Answer

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