associative property of additionFor three or more real numbers, the sum is the same regardless of how you group the numbers. For example, (6 + 2) + 1 = 6 + (2 + 1).
associative property of multiplication

For three or more real numbers, the product is the same regardless of how you group the numbers. For example, (3 5) 7 = 3 (5 7).

commutative property of additionTwo real numbers can be added in any order without changing the sum. For example, 6 + 4 = 4 + 6.
commutative property of multiplication

Two real numbers can be multiplied in any order without changing the product. For example, 8 9 = 9 8.

distributeTo rewrite the product of the number and a sum or difference using the distributive property.
distributive property of multiplicationThe product of a sum (or a difference) and a number is the same as the sum (or difference) of the product of each addend (or each number being subtracted) and the number. For example, 3(4 + 2) = 3(4) + 3(2), and 3(4 – 2) = 3(4) – 3(2).