Question

Find two rational numbers between 3 and 4.

Answer 1

Hint- Here we will proceed by using the property of rational numbers to find the first rational number between given numbers. Then taking the average of the calculated rational number with the second given number to get the desired result.

Complete step-by-step answer:

Firstly, we must know about rational numbers.
A rational number is a number that can be written as a fraction i.e. $\dfrac{p}{q}$ where $q \ne 0$. Moreover, these numbers can be positive or negative.
As the given numbers are 3 and 4, both are rational numbers.
Also, we know that the average of two rational numbers is also a rational number and it is between the numbers.
$ \Rightarrow $ A rational number between 3 and 4 = Average of 3 and 4
$ = \dfrac{{3 + 4}}{2}$
Or $\dfrac{7}{2}$
Or 3.5
Now both 3.5 and 4 are the rational number between 3.5 and 4 = Average of 3 and 4
$ = \dfrac{{3.5 + 4}}{2}$
Or $\dfrac{{7.5}}{2}$
Or 3.75
Thus, the two rational numbers between 3 and 4 are 3.5 and 3.75.

Note- Whenever we face such types of problems we should concentrate that we have to use the properties of rational numbers as here we used one of the properties of rational numbers i.e. the average of two rational numbers is also a rational number and it is between the numbers.