associative property of addition | For 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 addition | Two 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. |
distribute | To rewrite the product of the number and a sum or difference using the distributive property. |
distributive property of multiplication | The 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). |