Properties of Rational Numbers

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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 by distributing the multiplication to each addend.

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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, ab = ba.

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What is the Multiplicative Inverse?

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The Multiplicative Inverse of a number is another number which, when multiplied together, gives a product of 1. For example, the multiplicative inverse of 2/3 is 3/2.

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What is the Additive Inverse?

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The Additive Inverse of a number is the number that, when added to the original number, results in zero. For example, the additive inverse of 2/3 is -2/3.

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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, (ab)c = a(bc).

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What is an example of the Distributive Property?

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An example of the Distributive Property is 3(w + 4) = 3w + 12.

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What is an example of the Commutative Property of Addition?

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An example of the Commutative Property of Addition is 5 + 3 = 3 + 5.

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What is the result of adding 2/3 and -2/3?

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The result is 0, demonstrating the concept of Additive Inverse.

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What is the result of multiplying 2/3 and 3/2?

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The result is 1, demonstrating the concept of Multiplicative Inverse.