Well, outside of the abstract realm, we never have exact, certain quantities. Even when counting objects. So when we devide by a very small quantity that we can approximate with the number 0, the outcome varies from some large number off the scale up to infinity, or some very low negative numbers, again off the scale and down to negative infinity. Since the range of valid answers to 1/0 is off the charts, we just say undefined instead.
You can also try doing some stuff with ohms law, you’ll see how hard it is to reach exactly 0 on the denominator.
Well, outside of the abstract realm, we never have exact, certain quantities. Even when counting objects. So when we devide by a very small quantity that we can approximate with the number 0, the outcome varies from some large number off the scale up to infinity, or some very low negative numbers, again off the scale and down to negative infinity. Since the range of valid answers to 1/0 is off the charts, we just say undefined instead.
You can also try doing some stuff with ohms law, you’ll see how hard it is to reach exactly 0 on the denominator.