True Or False

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 when b ≠ 0, is always a rational number.