Can you really not divide by zero?

However, delving into advanced ... reinterpreted. Ultimately, the myth that division by zero is fundamentally impossible reflects a particular mathematical worldview anchored in classical algebra....

The invertible operations of multiplying and dividing by 5 are like a photocopy machine that shrinks or expands a document · by a factor of 5 depending on which button is pushed. We can shrink and expand as many times as we like, with no loss of ... Now let’s take an unknown number x and multiply by 0. The result is 0. I cannot recover x, all I have is 0. The equation · 0x = 0 does not offer any information about x. The photocopy machine reduced my document to nothing! Multiplying by 0

So it satisfies that this is actually the only number that you can put there to actually equal zero. We can say that zero divided by 1 equals zero and we can also say that this is "defined" as well. Our next example is going to be 1 divided by zero.

However, when we set in we divide by zero on both sides of the equation and obtain nonsense. The equation has no solution! Of course, you would have discovered that fact by following another one of our basic principles: Whenever you divide by anything you should think about the possibility of the divisor being zero.

Division is the inverse of multiplication, meaning that multiplying and then dividing by the same non-zero quantity, or vice versa, leaves an original quantity unchanged; for example ⁠ ... {\displaystyle (5\times 3)/3=(5/3)\times 3=5} ⁠. Thus a division problem such as "what is 6 divided by 3?" can be solved by rewriting it as an equivalent equation involving multiplication, "what number times 3 is equal to 6?", and then finding the value for which the statement is true; symbolically, these might be written as ⁠

In simple arithmetics, a number divided by zero has no meaning because there isn’t a number that when multiplied by zero gives us the dividend- it will always give us zero. So, a number divided by zero simply goes undefined. This exception to the division rule makes zero a source of intrigue for many people, including me.

I have not yet seen any proof that this theory cannot work, so as of now I think it is valid. It goes as follows: My theory is that: 0/0 = any number To start, use the definition of division equation where: a/b = c because c*b = a In the situation of 0/0 = c, then c*0=0 for any real value of c (I am not familiar with how to work with infinity or non-real numbers so I have left them out.)

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You cannot sum an infinite number of zeroes to receive a bigger number than zero. Because… zero is just zero, which is a total absence of any value or quantity. That also means that division by zero is impossible.