Question

For a real number a, a + 0 = a. For a real number a, a + (-a) = 1.
For a real numbers a and b, | a - b | = | b - a | For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). For rational numbers a and b, is always a rational number ( write true or false for each answer)