Question 3 (i) Express 0.¯6 in the form pq, where p and q are integers and q≠0.
0.¯6 = 0.666...
Let x = 0.666... ⇒ 10x = 6.666... [Since only one digit is repeating, so multiply x with 10.] ⇒ 10x = 6 + .666 ⇒ 10x = 6 + x ⇒ 9x = 6 ⇒ x=23
Question 3 (ii) Express 0.4¯7 in the form pq, where p and q are integers and q≠0.
Question 3 (iii) Express 0.¯¯¯¯¯¯¯¯001 in the form pq, where p and q are integers and q≠0.