Commutative Property
Associative Property
Multiplicative Identity
Additive Identity
Distributive Property
Inverse Property
Multiplicative Property of Zero
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)
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)
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
When any number is multiplied by zero, the product is zero. 3(0) = 0 0(3) = 0
The property that undoes an operation. 5 + (-5) = 0 (1/3) • 3 = 1
