/* package whatever; // don't place package name! */
 
import java.util.*;
import java.lang.*;
import java.io.*;
 
import java.math.BigDecimal ;
 
/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
	public static void main (String[] args) throws java.lang.Exception
	{
 
        var a = "0.002000" ;
        var b = "0.004000" ;
        var expected = "0.000008" ;
 
        var actual = new BigDecimal( a ).multiply( new BigDecimal( b ) ) ;
        actual = actual.setScale( new BigDecimal( a ).scale() ) ;  // Set scale of result to match the scale of inputs.
        boolean matching = actual.equals( new BigDecimal( expected ) ) ;
 
        System.out.println( "actual: " + actual ) ;
        System.out.println( "matching: " + matching ) ;
 
	}
}

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