Question

insert a rational no. between 2 and 3 . how many rational numbers can be inserted between 2 and 3

Answer 1

2=4/2
3=6/2
So 5/2 can be one of the rational numbers between 2 and 3
We can insert infinite rational numbers between 2 and 3. This property of rational numbers is known as the dense property.

Answer 2

Answer:

An infinite number of rational numbers can be inserted between 2 and 3.

Step-by-step explanation:

To find: The rational numbers between 2 and 3

One of the rational number between 2 and 3 is 2.3.

Likewise many rational numbers can be inserted between 2 and 3.

A rational number might be a decimal fraction which can be inserted be any two numbers.

So any number of rational numbers can be kept between any two numbers or integers.

Hence infinite numbers can be inserted between 2 and 3.