Properties of Operations

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What is the Associative Property of Multiplication?

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

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What is the Distributive Property of Multiplication?

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The Distributive Property of Multiplication states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

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What is the Identity Property of Addition?

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

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that when you multiply any number by one, the product is that number. For example, 7 x 1 = 7.

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What is the Commutative Property of Addition?

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

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 6 = 6 x 4.

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What is an example of the Associative Property of Addition?

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An example of the Associative Property of Addition is (1 + 2) + 3 = 1 + (2 + 3).

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What is an example of the Distributive Property?

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An example of the Distributive Property is 3(4 + 5) = 3*4 + 3*5.

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What is an example of the Identity Property of Addition?

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An example of the Identity Property of Addition is 10 + 0 = 10.

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What is an example of the Identity Property of Multiplication?

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An example of the Identity Property of Multiplication is 9 x 1 = 9.