Math Properties

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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, 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 the factors does not change the product. For example, 3 x 4 = 4 x 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 does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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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 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?

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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 Identity Property of Addition?

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The Identity Property of Addition states that adding zero to a number does not change the 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 multiplying a number by one does not change the number. For example, 7 x 1 = 7.

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Provide an example of the Commutative Property of Addition.

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An example is 6 + 2 = 2 + 6.

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Provide an example of the Commutative Property of Multiplication.

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An example is 5 x 3 = 3 x 5.

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Provide an example of the Associative Property of Addition.

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An example is (1 + 2) + 3 = 1 + (2 + 3).