Commutative
6 + 7 = 7 + 6
12 * 8 = 8 * 12
Associative
(2 + 3) + 6 = 3 + (2 + 6)
(3 + 8) + 2 = 3 + (2 + 8
6 * (7 * 3) = (6 * 7) * 3
Distributive
4 * (3 + 6) = 12 + 24
because:
a * (b + c) = (a * b) + (a * c)
4 * (3 + 6) = (4 * 3) + (4 * 6)
4 * 9 = 12 + 24
36 = 36