Classifying Real Numbers

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like square roots and pi).

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What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but it cannot have a decimal or fractional part.

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; its decimal representation goes on forever without repeating.

Front

Is -5.5 an integer?

Back

No, because integers do not have decimal parts.

Front

Is 5.676677666777... a rational number?

Back

No, because it is a non-repeating decimal.

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Back

0 is an integer.

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Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.