Properties of Real Numbers

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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, 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 when you multiply any number by one, the result is that number. For example, a × 1 = a.

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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 when adding 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 when multiplying does not change the product. For example, (a × b) × c = a × (b × c).

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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 a, there exists a number -a such that 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 number a (except 0), there exists a number 1/a such that a × (1/a) = 1.

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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, a × 0 = 0.

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What is the Distributive Property?

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