I'm typing the ones I know... I was wondering if there are any others... I do not know that many...

1. For any numbersm, n

m + n = n + mandmn = nm.

2. For any numbersm, n, k,

(m+n) + k = m + (n+k)and(mn)k = m(nk).

3. For any numbersm, n, k

m(n+k) = mn + mk.

4. There is a number 0 which has the property that, for any numbern,

n +0 =n.

5. There is a number 1 which has the property that, for any numbern,

nx 1 =n.

6. For every numbern,there is another numberksuch that

n + k =0.

7. For any numbersm, n, k,

ifkcannot equal 0 andkn = km,thenm = n.

Any additions would be appreciated, I'm interested in reading as many as I can.