Associative, Commutative, and Distributive Properties

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What is the Multiplication Property of One?

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The Multiplication Property of One states that the product of any number and one is that number itself. For example, 5 x 1 = 5.

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What does the Commutative Property of Addition state?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 4 = 4 + 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 Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

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What is the Multiplication Property of Zero?

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The Multiplication Property of Zero states that any number multiplied by zero equals zero. For example, 7 x 0 = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every number a, there is a number 1/a such that a x (1/a) = 1.

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What is the Symmetric Property?

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The Symmetric Property states that if a = b, then b = a. It shows that equality can be reversed.

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What is the Transitive Property?

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The Transitive Property states that if a = b and b = c, then a = c. It shows a relationship between three quantities.

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What is the Reflexive Property?

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The Reflexive Property states that any number is equal to itself. For example, a = a.

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What is an example of the Commutative Property of Multiplication?

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An example of the Commutative Property of Multiplication is 6 x 2 = 2 x 6.