Properties of Real Numbers

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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 in multiplication does not change their product. For example, (a x b) x c = a x (b x c).

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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 Identity Property of Multiplication?

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The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, a x 1 = a.

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What is the Identity Property of Addition?

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The Identity Property of Addition states that any number added to 0 remains unchanged. For example, a + 0 = 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 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 non-zero number a, there exists a number 1/a such that a x (1/a) = 1.

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What is the Multiplicative Inverse of 8?

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The Multiplicative Inverse of 8 is 1/8.

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What does the Commutative Property of Multiplication state?

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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 x b = b x a.

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Provide an example of the Associative Property of Addition.

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An example of the Associative Property of Addition is (2 + 3) + 4 = 2 + (3 + 4).

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What is the result of (19 x 5) x 2?

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The result of (19 x 5) x 2 is the same as 19 x (5 x 2) due to the Associative Property of Multiplication.