Answer to Question #219406 in Real Analysis for Anuj

Question

Consider any two positive real numbers and call it

Answer 1

Let us suppose:

1) 

$\pi=$ Ratio of the Circumference of a Circle to Its Diameter

$\pi:$ It is positive irrational number and falls into the category of real number.

2)

$1=$ The smallest natural number.

$1:$ It is positive rational number and falls into the category of real number.

Combination of rational numbers and irrational numbers are known as real numbers.

Real numbers can be thought of as points on an infinitely long line called the number line or real line.

All such numbers pointed on the right hand side or positive side of number line can be classified as positive real number.

The set of positive real numbers is closed under addition, multiplication, and division.