Express 0.001¯ in pq form
Expressing 0.001¯ in pq form:
Let x=0.001¯=0.001001001.......(i)
Since the numbers are repeating after every 3 digits, multiply x by 1000 (i.e., 103)
1000x=1.001¯...(ii)
Subtract equation (i) from equation (ii)
⇒1000x-x=1.001-0.001⇒999x=1⇒x=1999
Thus, 0.001 can be expressed as 1999.