Why is 0/0 indeterminate, but 1/0 is not?

Why do we say that some things are "indeterminate" instead of "undefined"? EXERCISE FOR THE VIEWER: Suppose we define a new number "x" such that 0x = 1. Show that this number violates the distribitive property. Follow me on Instagram for more content, video previews, behind-the-scenes:   / epicmathtime   Music: Blue Wednesday, All That Jazz   / bluewednesday   "Fireside" Instrumental by Homage    / homage253   Outro: Lateralus, as performed by Sakis Strigas Originally by Tool    • Tool - Lateralus (Instrumental Cover)   My current equipment for making videos (affiliate links): Camera: https://amzn.to/2HSJXDR Microphone(s): https://amzn.to/2SnpWY5 Audio Interface: https://amzn.to/3fcjMoc