Math Properties Vocabulary

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What is the Commutative Property?

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The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, A + B = B + A and A × B = B × A.

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What does the Associative Property state?

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The Associative Property states that when adding or multiplying three or more numbers, the way in which the numbers are grouped does not change the sum or product. For example, (A + B) + C = A + (B + C).

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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 individual products. For example, A × (B + C) = A × B + A × C.

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the number. For example, A + 0 = A.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, A × 1 = A.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there is an opposite number that, when added together, equals zero. For example, A + (-A) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every non-zero number, there is a reciprocal that, when multiplied together, equals one. For example, A × (1/A) = 1.

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True or False: The Commutative Property applies to both addition and multiplication.

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True.

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True or False: The Associative Property applies only to addition.

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False. The Associative Property applies to both addition and multiplication.

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What is an example of the Associative Property of Multiplication?

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An example is (2 × 3) × 4 = 2 × (3 × 4). Both expressions equal 24.