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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 \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

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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 \( \frac{a}{b} \) where \( a \) and \( b \) are integers.

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Is \( \sqrt{2} \) rational or irrational?

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\( \sqrt{2} \) is irrational.

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Is \( -19.4567 \) rational or irrational?

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\( -19.4567 \) is rational.

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Is \( \frac{1}{2} + \frac{9}{125} \) rational or irrational?

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\( \frac{1}{2} + \frac{9}{125} \) is rational.

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Is \( \sqrt{5} \) rational or irrational?

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\( \sqrt{5} \) is irrational.

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Is \( -14.3467498884384575993874... \) rational or irrational?

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\( -14.3467498884384575993874... \) is irrational.

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What is an example of a rational number?

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An example of a rational number is \( \frac{3}{4} \) or \( 0.75 \).

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What is an example of an irrational number?

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An example of an irrational number is \( \pi \) or \( e \).

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Can the sum of two rational numbers be irrational?

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No, the sum of two rational numbers is always rational.