Rational or Irrational

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?

Back

An irrational number is a number that cannot be expressed as a simple fraction or quotient of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Is the number π (pi) rational or irrational?

Back

Irrational - π cannot be expressed as a fraction of two integers.

Front

Is the number (π / 2) rational or irrational?

Back

Irrational - (π / 2) is also not expressible as a fraction of two integers.

Front

What is an example of a rational number?

Back

An example of a rational number is 1/2, 3, or -4.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2 or e (Euler's number).

Front

How can you determine if a number is rational?

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A number is rational if it can be written as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the decimal representation of a rational number like?

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The decimal representation of a rational number either terminates (e.g., 0.75) or repeats (e.g., 0.333...).

Front

What is the decimal representation of an irrational number like?

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The decimal representation of an irrational number is non-terminating and non-repeating (e.g., 3.14159...).

Front

Is the number (77/3) rational or irrational?

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Rational - (77/3) can be expressed as a fraction of two integers.