Number Grouping Laws

Associative

    (1 + 2) + 3 = 1 + (2 + 3)

Identity

0 is identity over addition, similarly 1 is over multiplication. Identity is left and right associative

    0 + a = a + 0 = a

Commutative

    a + b = b + a

Distributive

    2 x (3 + 4) = (2 x 3) + (2 x 4)

Transitive

    if a = b and b = c
    then a = c