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On 05/01/2006, at 3:29 PM, Bob Cozzi wrote:

0 / 0 = Undefined?

Yes, as in no answer. 0/0 is no different from 1/0. Division by zero is nonsense because it has the peculiar side effect of making all numbers the same.

I know X / 0 = undefined. When X > 0.

Doesn't matter whether X > 0. The Division Algorithm is:
For integers a and b, with b > 0, there exist unique integers q and r such that a=bq+r, where 0 ≤ r < b. In the division of a by b, the number q is the quotient and r is the remainder.

Point to note is the requirement for b > 0 (although really it can be negative, just not zero). a can be any integer +ve, -ve, or zero.

But I thought 0 / 0 = Indeterminate

Indeterminate is not 1 which is what you originally stated.

In the example here I presume you are using 0/0 as an "indeterminate form" as is used in calculating limits of functions. In this case it doesn't mean zero divided by zero but is rather a symbol indicating an indeterminate form of which there are a few ∞/∞ (or inf/inf) being another one of them.

To keep this related to RPG the RPG runtime will issue a program error with status code 00102 when division by zero is encountered but it's better to check beforehand if such an operation is likely (or use MONITOR to catch it).

Regards,
Simon Coulter.
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