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.

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 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).

1 is the only number which is its own reciprocal.

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

–1 is not the reciprocal of any rational number.