Rational vs Irrational

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

Front

Is -17 a rational number?

Back

Yes, -17 is a rational number because it can be expressed as -17/1.

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Back

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Back

2.5 is a rational number.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

Is 125 a perfect square?

Back

No, 125 is not a perfect square.

Front

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

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Give an example of an irrational number.

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What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (like 0.5) or repeats (like 0.333...).