def mathtricks2():
    for i in range (5,11):
        x =  3**i
        print " ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~"
        print " 3 **i = x = ", x, "when  i = ", i
        print "We expect x/x to be 1.0 and if we display x/x we see ", x * (1.0/x)
        print  "BUT   1 - x/x  = ", 1 - x * (1.0/x)

mathtricks2()