Operations with Rational and Irrational Numbers

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What is a rational number?

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A rational number is a number that can be written as a ratio of two integers.

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What is an irrational number?

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An irrational number is a number that cannot be expressed as a simple fraction, and its decimal representation is non-repeating and non-terminating.

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What is the sum of two rational numbers?

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The sum of two rational numbers 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 of a rational number and an irrational number is always irrational.

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What is the product of two rational numbers?

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The product of two rational numbers is always rational.

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What is the product of a nonzero rational number and an irrational number?

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The product of a nonzero rational number and an irrational number is always irrational.

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Irrational.

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0 (which is rational).