Find five rational numbers between 0 and 1.

Solution:

Rational numbers are defined as the numbers which can be written as p/q form

The limits given are 0 and 1

So, one number lies exactly at midpoint = 0 + 1/2 = 1/2

Second number can be between 0 and 1/2 =[0 + ½]/2 = 1/4

Third number can be between 1/2 and 1 = [1/2 + 1]/2 = 3/4

Fourth number can be between 0 and 1/4 =[0 + ¼]/2 = 1/8

Fifth number can be between 3/4 and 1 = [3/4 + 1]/2 = 7/8

Therefore, five rational numbers between 0 and 1 are 1/8, 1/4, 1/2, 3/4, 7/8

✦ Try This: Find five rational numbers between 2 and 3.

Rational numbers are defined as the numbers which can be written as p/q form

The limits given are 2 and 3

So, one number lies exactly at the midpoint = [2 + 3]/2 = 5/2

Second number can be between 2 and 5/2 = [2 + 5/2]/2 = 9/4

Third number can be between 2 and 9/4 =[2 + 9/4]/2 = 17/8

Fourth number can be between 9/4 and 5/2 = [9/4 + 5/2]/2 = 19/8

Fifth number can be between 5/2 and 3 = [5/2 + 3]/2 = 11/4

Therefore, five rational numbers between 2 and 3 are 5/2, 9/4, 17/8, 19/8, 11/4

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 132

Summary:

Five rational numbers between 0 and 1 are 1/8, 1/4, 1/2, 3/4, 7/8

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