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Commutative Properties

Commutative property of multiplication

Commutative Property of Addition

The property of addition and multiplication which states that a difference in the order in which numbers are added or multiplied will not change the result of the operation. For example, 2 + 3 gives the same sum as 3 + 2, and 2 × 3 gives the same product

The property of addition and multiplication which states that a difference in the order in which numbers are added or multiplied will not change the result of the operation. For example, 2 + 3 gives the same sum as 3 + 2, and 2 × 3 gives the same product

Exploration:

>>Stated above is the commutative properties of addition and multiplication. This concept is simple but important for future courses in algebra and calculus. The applets above gives a physical representation of these properties, as you explore the shapes you will see the property in motion. When you move the sliders the variables basically change position, variable (a) and (b) are interchangeable. Short response: (1) Does adding negative numbers change the commutative property of multiplication? (2) Is subtraction commutative? (3) How can I perform a subtraction operation that is commutative? *Hint: integers