Q. Once I have valid two place inputs, how do I maintain that invariant
throughout an application?
-A. Some operations like addition and subtraction automatically preserve fixed
-point. Others, like multiplication and division, change the number of decimal
-places and need to be followed-up with a :meth:`quantize` step.
+A. Some operations like addition, subtraction, and multiplication by an integer
+will automatically preserve fixed point. Others operations, like division and
+non-integer multiplication, will change the number of decimal places and need to
+be followed-up with a :meth:`quantize` step.
+
+ >>> a = Decimal('102.72') # Initial fixed-point values
+ >>> b = Decimal('3.17')
+ >>> a + b # Addition preserves fixed-point
+ Decimal('105.89')
+ >>> a - b
+ Decimal('99.55')
+ >>> a * 42 # So does integer multiplication
+ Decimal('4314.24')
+ >>> (a * b).quantize(TWOPLACES) # Must quantize non-integer multiplication
+ Decimal('325.62')
+ >>> (b / a).quantize(TWOPLACES) # And quantize divisions
+ Decimal('0.03')
+
+In developing fixed-point applications, it is convenient to define functions
+to handle the :meth:`quantize` step::
+
+ def mul(x, y, fp=TWOPLACES):
+ return (x * y).quantize(fp)
+ def div(x, y, fp=TWOPLACES):
+ return (x / y).quantize(fp)
+
+ >>> mul(a, b) # Automatically preserve fixed-point
+ Decimal('325.62')
+ >>> div(b, a)
+ Decimal('0.03')
Q. There are many ways to express the same value. The numbers :const:`200`,
:const:`200.000`, :const:`2E2`, and :const:`.02E+4` all have the same value at