Associative Property
Commutative Property
Distributive Property
Additive Identity
Inverse Property
Multiplicative Property of Zero
Multiplicative Identity
The way in which numbers are grouped when added or multiplied does not change the sum or the product. (3 + 6) + 1 = 3 + (6 + 1) (5 • 9) • 2 = 5 • (9 • 2)
When any number is multiplied by zero, the product is zero. 3(0) = 0 0(3) = 0
To multiply a sum inside a parenthesis by a number. 3(4 + x) = 12 + 4 6(y + 6) = 6y = 36
The order in which the numbers are added or multiplied does not change the sum or product. 6 + 9 + 3 = 3 + 6 + 9 4 • 7 • 2 = 2 • 7 • 4 2(4 + 3) = 2(3 + 4)
The property that undoes an operation. 5 + (-5) = 0 (1/3) • 3 = 1
When zero is added to any number, the sum is the number. 5 + 0 = 5 0 + 5 = 5
When any number is multiplied by 1, the product is the number. 8 • 1 = 8 1 • 8 = 8
