What would happen if you carried out a division problem with a zero but you continued the promlem so it would otherwise be solvable?

Answer 1

That depends if you can rearrange the problem to accommodate the undefined result (like how we carry around "i", for the square root of -1) and resolve it later...or work around the issue.

For example in the Taylor series, the derivative shows that you can actually solve the problem when you're technically /0 ... it's continuous and 'bad' terms cancel.

http://math.stackexchange.com/questions/792664/taylor-series-of-a-division-by-zero-equation

This isn't really basic math though (notice how 0- and 0+ are distinct); if a test asked about this it's probably not looking for a clever answer--it's looking for: "that's undefined".

Answer 2

Following the order of operations, it at any time an attempt to divide by zero occurs, it will cause an error.