Properties of Multiplication and Addition

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 3 = 3 x 4.

The Identity Property of Multiplication states that any number multiplied by 1 remains the same. For example, 7 x 1 = 7.

'Change Order' refers to the Commutative Property, which allows you to change the order of numbers in addition or multiplication without changing the result.

An example is 4 x 1 = 4.

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 5 + 3 = 3 + 5.

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

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

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

The Identity Property of Addition states that any number plus 0 remains the same. For example, 5 + 0 = 5.

An example is 8 + 2 = 2 + 8.