Number Properties

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What is the Identity Property of Addition?

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The Identity Property of Addition states that when you add zero to any number, the result is that number. For example, 5 + 0 = 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, 6 x 7 = 7 x 6.

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. For example, 3(w + 4) = 3w + 12.

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What is the Multiplicative Inverse Property?

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The Multiplicative Inverse Property states that for any number a (except 0), there exists a number 1/a such that a x (1/a) = 1. For example, 3 x 1/3 = 1.

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0. For example, 4 + (-4) = 0.

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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 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 Zero Property of Multiplication?

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

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What is the Additive Inverse Property?

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The Additive Inverse Property states that for every number a, there exists a number -a such that a + (-a) = 0.

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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 that number. For example, 5 x 1 = 5.