What is the difference between Natural number and Real number?

Natural numbers and real numbers are both types of mathematical numbers, but they have different properties and definitions:

Natural Numbers:

Natural numbers, often denoted by N, are a set of positive integers starting from 1 and extending infinitely. They are used for counting and ordering.
The set of natural numbers is {1, 2, 3, 4, 5, ...}.
Natural numbers do not include negative numbers, fractions, or decimal numbers. They are whole, positive numbers.
Real Numbers:

Real numbers, often denoted by R, are a much broader set of numbers that includes all rational and irrational numbers.
Real numbers include natural numbers, whole numbers, integers (both positive and negative), fractions (also known as rational numbers), and irrational numbers.
Irrational numbers are numbers that cannot be expressed as fractions and have non-repeating, non-terminating decimal representations. Examples of irrational numbers include √2 (the square root of 2) and π (pi).
In summary, natural numbers are a subset of real numbers, specifically the positive whole numbers starting from 1 and extending infinitely, whereas real numbers encompass a much wider range of numbers, including natural numbers and many other types of numbers like fractions and irrational numbers.