Properties of Real Numbers Pre-Test

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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, 12 x 1 = 12.

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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, 2 x 9 = 9 x 2.

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What is the Multiplicative Property of Zero?

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The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, -76 x 0 = 0.

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What is the Associative Property?

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The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (n + 13) + 4 = n + (13 + 4).

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True or False: The product of three variables is commutative.

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True. The product of three variables (abc) is equal to the product in any order (cba).

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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.

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What is the Additive Identity?

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The Additive Identity states that any number plus zero equals the number itself. For example, 49 + 0 = 49.

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What is the Multiplicative Inverse Property?

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The Multiplicative Inverse Property states that for any non-zero number a, there exists a number 1/a such that a * (1/a) = 1.

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Provide an example of the Associative Property of Addition.

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An example is (2 + 3) + 4 = 2 + (3 + 4). Both expressions equal 9.

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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, 5 + 3 = 3 + 5.