Scientific notation is a valid representation for floating point ("real") numbers.  Furthermore, JSON allows numbers to be represented in scientific notation; see the JSON syntax graphs on json.org.
There is no need to round the number or convert to not use scientific notation ... to make it acceptable in JSON format.
- If you create the JSON using one of the many Java JSON parser / unparser libraries, they will take care of the formatting. 
- If you are formatting the JSON by hand, then - Double.toString(double)will produce an acceptable rendering for your JSON.
 
- If you insist on avoiding scientific notation, there are a variety of ways to do it.  A simple way is - String.format("%f", value).  Others are described in How do I print a double value without scientific notation using Java?.
 
However, beware of rounding.  The string 0.0009 is NOT a valid representation of 9.090909090909097E-4.  You have discarded roughly 13 decimal digits of precision.  The former differs from the latter by almost 10%.
In short, while 0.0009 looks nice, it is mathematically very, very wrong.