Classifying Real Numbers

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

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

A whole number is a non-negative integer, which includes zero and all positive integers.

Yes, a rational number can be a decimal, especially if it terminates or repeats.

No, because integers do not have decimal parts.

A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely.

Yes, because 0 can be expressed as 0/1, which is a ratio of two integers.

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

No, a number cannot be both; it is either rational or irrational.