Let x be the original number.

Then the new number is  .


Your equation for 'x' is THIS

     = .


It implies

     = 4,

     = ,

    x =  =  =  =  = 0.02.


ANSWER.  The original number is   =  = 0.02.

When the decimal point of a certain positive decimal number ismoved four places to the right, the newnumber is four
times the reciprocal of the original number.Theoriginal number, is

please send me step by step

Let number be N
Moving a number 4 (FOUR) decimal places to the right is the equivalent of multiplying the number by , or by 10,000
So, moving the number 4 places to the right makes it , or 10,000N
We then get: 
             
             ---- Cross-multiplying
               
              ---- Taking square root of both sides
                 N =  <=== N is POSITIVE (> 0)
Number, in DECIMAL form, or