Mathematical Properties

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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 their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that any number plus zero equals the same number. For example, 5 + 0 = 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 the addends does not change the sum. For example, 7 + 2 = 2 + 7.

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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 their product. For example, (2 x 3) x 4 = 2 x (3 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 one equals the same number. For example, 6 x 1 = 6.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that a number plus its opposite equals zero. For example, 5 + (-5) = 0.

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What is the Inverse Property of Multiplication?

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

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Provide an example of the Commutative Property of Multiplication.

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An example is: 9 x 5 = 5 x 9.

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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.