Properties of Real Numbers

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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 in an addition problem does not change the sum. For example, a + (b + c) = (a + b) + c.

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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 single term by two or more terms inside a set of parentheses.

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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 because 5 + (-5) = 0.

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What is the Property of Zero?

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What is the Inverse Property of Multiplication?

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The Inverse Property of Multiplication states that for any non-zero number a, there exists a number b such that a * b = 1. For example, the inverse of 12 is 1/12 because 12 * 1/12 = 1.

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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 value of 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 multiplying any number by one does not change the value of 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 Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. For example, a(bc) = (ab)c.