Properties of Multiplication

The properties of multiplication as related to equations is the same as the properties of multiplication for standard numbers. Given variables A, B and C:

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Commutative property:
When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.
For example: A × B = B × A

Associative Property:
When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.
For example: (A × B) × C = A × (B × C).

Multiplicative Identity Property:
The product of any number and one is that number itself.
For example: A × 1 = A

Distributive property:

The sum of two number times a third number, is equal to the sum of each addend times the third number.
For example: A × (B + C) = (A × B) + (A × C)
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