Addition
Revision as of 13:47, 8 November 2008 by Herefishyfishy1 (talk | contribs) (Fixed "zero" leading to disambiguation page)
Addition is the mathematical operation which combines two quantities. The result of addition is called a sum.
Notation
The sum of two numbers and
is denoted
, which is read "a plus b." The sum of
, where
is a function, is denoted
. (See also Sigma notation)
Properties
- Commutativity: The sum
is equivalent to
.
- Associativity: The sum
is equivalent to
. This sum is usually denoted
.
- Closure: If
and
are both elements of
, then
is an element of
. This is also the case with
,
, and
.
- Identity:
for any complex number
.
- Inverse: The sum of a number and its additive inverse,
, is equal to zero.
- If
is real and
is positive,
.
- The sum of a number and its Complex conjugate is a real number.
(See also Subtraction)
See also
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