The Identity Property of Addition states that when you add zero to any number, the sum is that number. For example, 5 + 0 = 5.

The Commutative Property of Addition states that changing the order of the numbers you are adding does not change the sum. For example, 3 + 4 = 4 + 3.

The Associative Property of Addition states that when you add three or more numbers, the way in which the numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

The Zero Property of Addition states that when you add zero to a number, the result is the number itself. For example, 7 + 0 = 7.

The Identity Property of Multiplication states that when you multiply any number by one, the product is that number. For example, 8 x 1 = 8.

The Commutative Property of Multiplication states that changing the order of the numbers you are multiplying does not change the product. For example, 2 x 5 = 5 x 2.

The Associative Property of Multiplication states that when you multiply three or more numbers, the way in which the numbers are grouped does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).