Is 0 a rational, irrational, natural, whole, integer or real number?

0 is a rational, whole, integer and real number. Now let us know their definitions.

Rational number

Any number that can be written as a ratio of one number over another number is written as rational numbers. This means that any number that can be written in the form of p/q. The symbol “Q” represents the rational number.

  • 0 is a rational number because it is an integer, that can be written in any form such as 0/1, 0/2, where b is a non-zero integer. It can be written in the form: p/q = 0/1. Hence, we conclude that 0 is a rational number.

Whole number

Whole numbers are known as non-negative integers and it does not include any fractional or decimal part. It is denoted as “W” and the set of whole numbers includes W = {0,1, 2, 3, 4, 5, ……….}

  • 0 is a whole number because the set of whole numbers starts from the number 0 itself.

Real number

All the positive and negative integers, fractional and decimal numbers without imaginary numbers are called real numbers. It is represented by the symbol “R”.

  • 0 is a real number because it lies in between the positive and negative numbers.

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