Properties of Operations

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What is the Multiplicative Property of Zero?

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The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, 5 * 0 = 0.

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by one equals the number itself. For example, 1 * 12 = 12.

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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, 10 + 4 = 4 + 10.

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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 products. For example, 5(8 + 7) = (5 * 8) + (5 * 7).

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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, 4 + 3 + (2 + 5) = 4 + (3 + 2) + 5.

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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 * 4 = 4 * 3.

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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 * 3) * 4 = 2 * (3 * 4).

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What is the Additive Identity Property?

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The Additive Identity Property states that any number plus zero equals the number itself. For example, 7 + 0 = 7.

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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 * (1/4) = 1.

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What is the Multiplicative Inverse Property?

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The Multiplicative Inverse Property states that for any number 'a', there exists a number '1/a' such that a * (1/a) = 1.