Properties of Addition and Multiplication

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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 when adding does not change the sum. For example, (a + b) + c = a + (b + c).

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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 when multiplying does not change the product. For example, (a x b) x c = a x (b x c).

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, a + b = b + a.

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What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, a x b = b x a.

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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) = ab + ac.

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What is the Addition Property of Zero?

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

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What is the Multiplication Property of One?

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The Multiplication Property of One states that multiplying any number by one does not change the value of that number. For example, a x 1 = a.

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Example of Associative Property of Addition: (3 + 4) + 5 = ?

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(3 + 4) + 5 = 3 + (4 + 5) = 12.

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Example of Associative Property of Multiplication: (2 x 3) x 4 = ?

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(2 x 3) x 4 = 2 x (3 x 4) = 24.

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Example of Commutative Property of Addition: 7 + 2 = ?

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7 + 2 = 2 + 7 = 9.