Properties of Addition and Multiplication

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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 Identity Property of Multiplication?

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The Identity Property of Multiplication states that when you multiply any number by one, the result is that number. For example, 7 x 1 = 7.

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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 + 4 = 4 + 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, 2 x 5 = 5 x 2.

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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 Additive Inverse?

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The Additive Inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5.

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What is the Additive Identity?

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The Additive Identity is the number zero, because adding zero to any number does not change the value of that number.

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What is the Zero Property of Multiplication?

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The Zero Property of Multiplication states that when you multiply any number by zero, the result is zero. For example, 9 x 0 = 0.

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Rewrite (4 + 5) + 6 using the Associative Property of Addition.

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4 + (5 + 6) or (5 + 6) + 4.