Question

explain the density of rational number with example in short​

Answer 1

Step-by-step explanation:

in mathematics, a rational number is any number that can be Expressed as the quotient or fractions p/q of two integers, a numerator p and a non - zero denominator q. since q may be equal to 1, every integer is a rational number...., moreover, any repeating or terminating decimal represents a rational number.

Answer 2

Step-by-step explanation:

Between every two real numbers (in particular between two irrational numbers) these are rational numbers (in fact infinitely many of them).

Depending on which definition of real numbers you are using, this is more or less obvious. For example, if you define real numbers as equivalence classes of rational Cauchy sequences it is clear that the rational number are dense in R.

Eg. Let

b

a

and

d

c

be any rational numbers with positive denominators, where

b

a

<

d

c

Then

b

a

<

b+d

a+c

<

d

c