Math Properties

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What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) or (a x b) x c = a x (b x c).

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What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect the sum or product. For example, a + b = b + a or a x b = b x a.

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What is the Distributive Property?

Back

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 Identity Property of Addition?

Back

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 x 1 = a.

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Give an example of the Associative Property of Addition.

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An example is: 2 + (3 + 4) = (2 + 3) + 4.

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Give an example of the Associative Property of Multiplication.

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An example is: 3 x (4 x 5) = (3 x 4) x 5.

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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 addends does not change the sum. For example, 4 + 5 = 5 + 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 factors does not change the product. For example, 6 x 7 = 7 x 6.

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What is an example of the Distributive Property?

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