7th Grade Milestone Review - Properties of Operations

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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 when adding does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

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What is the Additive Inverse Property?

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The Additive Inverse Property states that for any number 'a', there exists a number '-a' such that a + (-a) = 0. For example, 5 + (-5) = 0.

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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 when multiplying does not change the product. For example, (6 * 2) * 3 = 6 * (2 * 3).

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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, 6 * 7 = 7 * 6.

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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 by distributing the multiplication over each addend.

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that any number multiplied by 1 remains unchanged. For example, 7 * 1 = 7.

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What is the Multiplicative Inverse Property?

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

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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, 2 + 3 = 3 + 2.

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What is an example of the Associative Property of Addition?

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An example is (4 + 5) + 6 = 4 + (5 + 6). Both expressions equal 15.

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What is an example of the Distributive Property?

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An example is 3(4 + 5) = 3*4 + 3*5, which simplifies to 12 + 15 = 27.