Which option shows the correct order?

Natural numbers are part of whole numbers and whole numbers are part of integers

The number systems in the first option form a nested chain. Natural numbers are the counting numbers, such as 1, 2, 3, and so on; depending on convention, 0 may also be included. Whole numbers contain the natural numbers together with 0. Integers contain all whole numbers and also their negative counterparts, such as -1 and -2. Thus every natural number is a whole number, and every whole number is an integer.

Symbolically, the inclusion is \(\mathbb{N}\subseteq\mathbb{W}\subseteq\mathbb{Z}\). The reverse statement is false because negative integers are not natural numbers. Irrational numbers are not integers; examples include \(\sqrt{2}\) and \(\pi\). Real numbers include both rational and irrational numbers, so they are much more than only natural numbers. Therefore option A gives the correct order.

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.