Rules about Operations with Rational and Irrational Numbers

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rational

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irrational

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The decimal does not end and does not repeat.

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rational

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rational

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Define a rational number.

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Define an irrational number.

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A number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

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What is the sum of two rational numbers?

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The sum is always rational.

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What is the sum of a rational number and an irrational number?

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The sum is always irrational.

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What is the product of two irrational numbers?

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The product can be either rational or irrational.