2. When adding two numbers, the order does not matter. EXAMPLES: 5 + 6 = 6 + 5 a + b = b + a

4. When multiplying two numbers, the order does not matter. EXAMPLES: 5 6 = 6 5 a b = b a

6. When adding three numbers, the order does not matter. Always involves parenthesis EXAMPLES: (3 + 2) + 4 = 3 + (2 + 4) (a + b) + c = a + (b + c)

8. When multiplying three numbers, the order does not matter. Always involves parenthesis EXAMPLES: (3 2) 4=3 (2 4) (a b) c=a (b c)

10. Any number plus zero equals itself EXAMPLES: 3 + 0 = 3 0 + d = d

12. Any number times one equals itself EXAMPLES: 8 1 = 8 1 m = m

14. Any number added to its inverse equals zero. EXAMPLES: 8 + (-8) = 0 -a + a = 0

16. Any number multiplied by its inverse (reciprocal) equals one. EXAMPLES: and

18. Any number times zero equals zero EXAMPLES: 4 0 = 0 0 h = 0

21. Multiplying the number outside of the parentheses (distributing) to each number inside the parentheses EXAMPLES: 2(3 + 4) = 2(3) + 2(4) = 6 + 8 = 14 2(d – 6) = 2d – 2(6) = 2d - 12

23. The distance from zero on a number line The absolute value of any number is positive