Properties of Real Numbers

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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.

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What is the Additive Identity?

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The Additive Identity is the number 0, because adding 0 to any number does not change its value. For example, a + 0 = a.

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What is the Multiplicative Identity?

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The Multiplicative Identity is the number 1, because multiplying any number by 1 does not change its value. For example, a × 1 = a.

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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 1. For example, the Multiplicative Inverse of 4 is 1/4.

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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 their 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 their product. For example, (a × b) × c = a × (b × c).

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What is an example of the Additive Identity?

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An example of the Additive Identity is 7 + 0 = 7.

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What is an example of the Multiplicative Identity?

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An example of the Multiplicative Identity is 9 × 1 = 9.