- #1

- 1

- 0

Is it zero, undefined, infinity, or ERR09 :)

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter xaviertidus
- Start date

- #1

- 1

- 0

Is it zero, undefined, infinity, or ERR09 :)

- #2

symbolipoint

Homework Helper

Education Advisor

Gold Member

- 6,528

- 1,366

- #3

matt grime

Science Advisor

Homework Helper

- 9,420

- 4

- #4

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 967

Is it zero, undefined, infinity, or ERR09 :)

What in the world is "ERR09"? A calculator notation?

If you are talking about dividing 1 (or any other non-zero number) in the Complex number system or any of its subfields, then "1/ 0" is just an error- you don't do it. It is true that the

- #5

- 1,111

- 6

- #6

matt grime

Science Advisor

Homework Helper

- 9,420

- 4

First, a priori, the axioms of a field (at least those normally given) do not state that 0 does not have a multiplicative inverse. It is, however, easy to deduce from the axioms that one must define 0*x=0 for all x, and one cannot cancel zeroes.

But there are more things than just fields. In the extended complex plane the symbols x/0 are defined for all non-zero x (and are equal to the symbol [itex]\infty[/itex]. Division by zero is still not the inverse of multiplication, though.

Share: