Front

What is a rational number?

Back

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

Front

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.

Front

What is the sum of two rational numbers?

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The sum of two rational numbers is always a rational number.

Front

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 an irrational number.

Front

What is the product of two rational numbers?

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The product of two rational numbers is always a rational number.

Front

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 an irrational number.

Front

Give an example of a rational number.

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Examples of rational numbers include 1/2, -3, 0.75, and 4.

Front

Give an example of an irrational number.

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Examples of irrational numbers include √2, π (pi), and e (Euler's number).

Front

Is the number 0.333... rational or irrational?

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0.333... is a rational number because it can be expressed as 1/3.

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Is the number √3 rational or irrational?

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√3 is an irrational number because it cannot be expressed as a fraction of two integers.