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