Solved by KFrank in post #5 
              
              
                Hi Amity! 

Yes, this is true (for any reasonable definition of “do a series 
of flops in the same order,” and excluding perverse hardware 
implementations). 
Consider this: 
Mathematically, addition is commutative, i.e. x + y = y + x. 
It is also associative: x + (y + z) = (x + y) + z. 
Floating-po…