Is a whole number a Rational Number?

If we recall, what are natural numbers and whole numbers, all counting numbers are called natural numbers like 1, 2, 3, ……. And all the measuring digits are called Whole numbers. Whole numbers start with 0, 1, 2, 3,. ……….. and goes up to infinite (∞). This indicates that every Whole Number has a successor which we can get by adding 1 to it and every whole number except 0 has a predecessor which we can get by subtracting 1 from every whole number. Now, if we look carefully to a whole number say x, it can be written as x/1.

Example: 5 can be written as 5/1, which is in the form of rational number i.e. p/q, where p & q are integers and q ≠ 0. Moreover, if we recall the properties of whole numbers all Addition properties closure property, commutative law, associative law, addition properties of zero are satisfied by Rational Numbers too. Subtraction property of whole numbers and rational numbers is also same. Multiplicative properties of whole numbers namely closure property, commutative law, Multiplicative property of zero and 1, Distributive law of multiplication over addition and subtraction are satisfied by rational numbers. Similarly, division property of whole numbers holds true for rational numbers. Thus, we conclude that a whole number is a rational number.