Properties of Real Numbers

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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, a + b = b + a.

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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, a • b = b • a.

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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, (a + b) + c = a + (b + c).

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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, (a • b) • c = a • (b • c).

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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, a + 0 = a.

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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, a • 1 = a.

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What is the Inverse Property of Addition?

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The Inverse Property of Addition states that for every number, there exists an additive inverse such that their sum is zero. For example, a + (-a) = 0.

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for every non-zero number, there exists a multiplicative inverse such that their product is one. For example, a • (1/a) = 1.

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

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Provide an example of the Commutative Property of Addition.

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Example: 3 + 5 = 5 + 3.