Properties of Numbers

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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 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 5 = 5 x 4.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. 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 Associative Property of Addition?

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

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What is the Multiplicative Inverse Property?

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The Multiplicative Inverse Property states that a number multiplied by its reciprocal equals 1. For example, 4 x (1/4) = 1.

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by 1 equals the number itself. For example, 9 x 1 = 9.

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What is an example of the Associative Property in addition?

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An example is: 5 + (2 + 3) = (5 + 2) + 3.

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What is an example of the Commutative Property in multiplication?

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An example is: 6 x 2 = 2 x 6.

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What is the Distributive Property?

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