Is 0 a rational, irrational, natural, whole, integer or real number?
Let us 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 this in the following section.
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.
Now, considering the above definitions, we can say that 0 is a real number.
0 is also a rational number.
The set of rational numbers include all the integers and whole numbers.
Hence, 0 is also an integer and a whole number, however, it is not a natural number as natural numbers begin from 1 and go till infinity.
Hence, 0 is a rational number, whole number, integer, and a real number.
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