Any Positive Number Divided By Zero Is Positive Infinity. What Is Zero Divided By Zero?

It is not really correct to say that any positive number divided by zero is infinity. The "division algorithm" says that, for example, 8/2 = 4, because (2)(4) = 8If we try to carry this to division by 0, then we have8/0 =? This makes no sense because there is no quantity that can be multiplied by 0 and produce 8.

Any number multiplied by 0 would result in 0. Thus, we say that division by 0 is "undefined. "However, we can say that the "limit" of 8 divided by some number x is infinity, as x "approaches" zero.As for zero divided by zero, we don't run into the same contradiction as when we try to divide a non-zero number by zero.

But we cannot determine an answer to this division:0/0 =? Well, as we've already said 0 times any number is zero.So the "? " can be replaced by any number at all and we would have a true statement.

Thus, we say that 0/0 is "indeterminate.

In basic multiplication/division, anything multiplied/divided by 0 is 0.

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