Find six rational numbers between 3 and 4

Solution:

We can find any number of rational numbers between two given rational numbers.
To proceed with this, we make the denominators of the rational numbers similar by multiplying and dividing them by a suitable number.
If the denominators are already the same, then depending upon the number of rational numbers to be found, we choose the numbers.

To find six rational numbers between 3 and 4 let's follow the steps given below,

3 = 3 × (7/7) and 4 = 4 × (7/7)

3 = 21 / 7 and 4 = 28 / 7

Thus, we can choose 6 rational numbers as follows 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7 lying between 3 and 4.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 1

Video Solution:

Find six rational numbers between 3 and 4

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.1 Question 2:

Summary:

Six rational numbers between 3 and 4 are 22/7, 23/7, 24/7, 25/7, 26/7, and 27/7.

☛ Related Questions:

• Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
• Find five rational numbers between 3/5 and 4/5.
• State whether the following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.