In algebra, they are both said to be undefined.
However, in calculus, n/0 (with n≠0) will either approach ∞ or -∞ depending upon the sign of n and in which direction 0 is being approached.
0/0 is said to be "indeterminate" as its value depends upon the problem; in one problem it may be 0, in another 27, in another -42.
0/0 is undefined in the sense that it does not have one specific value; indeterminate in the sense that any number can be used as the answer (0/0 = 12 because 0 = 12*0; same for any number, not just 12).
Seeing as though $${\frac{{\mathtt{n}}}{{\mathtt{0}}}}$$ is undefined $${\frac{{\mathtt{0}}}{{\mathtt{0}}}}$$ is also undefined. Dividing by zero doesn't follow normal conventions as zero can go into anything an infinite number of times.
In algebra, they are both said to be undefined.
However, in calculus, n/0 (with n≠0) will either approach ∞ or -∞ depending upon the sign of n and in which direction 0 is being approached.
0/0 is said to be "indeterminate" as its value depends upon the problem; in one problem it may be 0, in another 27, in another -42.
0/0 is undefined in the sense that it does not have one specific value; indeterminate in the sense that any number can be used as the answer (0/0 = 12 because 0 = 12*0; same for any number, not just 12).