Algebra: Properties

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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 x 6 = 6 x 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 the 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 the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the 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 multiplying any number by one does not change the number. For example, 7 x 1 = 7.

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What is the Additive Inverse?

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The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

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What is the Multiplicative Inverse?

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The Multiplicative Inverse of a number is the value that, when multiplied by the original number, results in one. For example, the multiplicative inverse of 4 is 1/4 because 4 x (1/4) = 1.

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What is the Addition Property of Zero?

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The Addition Property of Zero states that adding zero to any number does not change the value of that number. For example, x + 0 = x.

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What is the Multiplication Property of Zero?

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The Multiplication Property of Zero states that multiplying any number by zero results in zero. For example, 9 x 0 = 0.