Math Properties

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What is the Distributive Property?

Back

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

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How can you express 4(3 + 9) using the Distributive Property?

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4(3 + 9) = 4(3) + 4(9)

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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 1 remains unchanged. For example, 9 • 1 = 9.

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What does the Associative Property state?

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The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change their sum or 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 adding 0 to any number does not change the number. For example, 4 + 0 = 4.

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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, 3 + 5 = 5 + 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, 4 • 6 = 6 • 4.

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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, (1 + 2) + 3 = 1 + (2 + 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 Inverse?

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The Additive Inverse of a number is what you add to that number to get zero. For example, the additive inverse of 4 is -4, because 4 + (-4) = 0.