When adding two numbers, the order does not matter.
EXAMPLES: 5 + 6 = 6 + 5
a + b = b + a
When multiplying two numbers, the order does not matter.
EXAMPLES: 5 • 6 = 6 • 5
a • b = b • a
• 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)
•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)
Any number plus zero equals itself
EXAMPLES: 3 + 0 = 3
0 + d = d
Any number times one equals itself
EXAMPLES: 8 • 1 = 8
1 • m = m
Any number added to its inverse equals zero.
EXAMPLES: 8 + (-8) = 0
-a + a = 0
Any number multiplied by its inverse (reciprocal) equals one.
EXAMPLES:
and
18
18
11
x
x 13
4
4
3
Any number times zero equals zero
EXAMPLES: 4 • 0 = 0
0 • h = 0
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
•The distance from zero on a number line
•The absolute value of any number is positive