True or False for each statement.

1.For a real number a, a + 0 = a.

2.For a real number a, a + (-a) = 1.

3.For a real numbers a and b, | a - b | = | b - a |.

4.For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).

5.For rational numbers a and b, is always a rational number.