Rational vs. Irrational Review

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What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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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; it cannot be written as a ratio of two integers.

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Is the sum of two rational numbers rational or irrational? Explain.

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Rational; The sum of two rational numbers is always rational.

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Is the sum of a rational number and an irrational number rational or irrational? Explain.

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Irrational; The sum of a rational number and an irrational number is always irrational.

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Is the product of two rational numbers rational or irrational? Explain.

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Rational; The product of two rational numbers is always rational.

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Is the product of a nonzero rational number and an irrational number rational or irrational? Explain.

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

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Is the number -17.5 rational or irrational?

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