In each of the following, state whether the statements are true (T) or false (F).

For every rational number x, x × 0 = x.

In each of the following, state whether the statements are true (T) or false (F).

For all rational numbers x and y, x – y = y – x.

In each of the following, state whether the statements are true (T) or false (F).

For all rational numbers x and y, x × y = y × x.

In each of the following, state whether the statements are true (T) or false (F).

For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).

In each of the following, state whether the statements are true (T) or false (F).

For all rational numbers a, b and c, a (b + c) = ab + bc.