Is 0 a Rational, Irrational, Natural, Whole, Integer or Real Number?


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

Let's understand the definition of real numbers, rational numbers, irrational numbers, natural numbers, whole numbers and integers

Answer: 0 is a rational number, whole number, integer, and a real number

Let's analyze the same as shown below

Explanation:

Real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0

Irrational numbers are those real numbers that cannot be represented in the form of a ratio

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero

Whole numbers include natural numbers (that begin from 1 onwards), along with 0

Natural numbers are a part of the number system, including all the positive integers from 1 till infinity.

0 is a real number

The set of real numbers includes rational and irrational numbers

Hence, 0 is also a rational and irrational number

The set of rational numbers include all the integers and whole numbers

Hence, 0 is also an integer and a whole number

However, 0 is not a natural number as natural number begins from 1 till infinity

Hence, 0 is a rational number, whole number, integer, and real number.