If zero times anything is zero, and infinity times anything is infinity, then what is zero times infinity?

Question

If zero times anything is zero, and infinity times anything is infinity, then what is zero times infinity?

In: Mathematics

Answer 1

The idea of infinity x “anything” equalling infinity is basically explaining that a number too large to list being multiplied (or even added to) would still be too large to list. But I think this assumes the “anything” is a nonzero number.

I would think that multiplying by zero still equals zero because no matter how many things you multiply by zero, you still have zero.