Difference between revisions of "Addition"
m (→Properties) |
m (→See also) |
||
| Line 16: | Line 16: | ||
* <math>a+(-b)=a-b</math> (See also [[Subtraction]]) | * <math>a+(-b)=a-b</math> (See also [[Subtraction]]) | ||
| − | == See also == | + | ==See also== |
| − | * [[Arithmetic]] | + | *[[Arithmetic]] |
| − | * [[Number theory]] | + | *[[Number theory]] |
| − | * [[Subtraction]] | + | *[[Subtraction]] |
| − | * [[ | + | *[[Hyperoperation]] |
| − | + | *[[Counting]] | |
| − | * [[Counting]] | ||
{{stub}} | {{stub}} | ||
[[Category:Definition]] | [[Category:Definition]] | ||
[[Category:Operation]] | [[Category:Operation]] | ||
Latest revision as of 18:25, 1 January 2025
Addition is the mathematical operation (it is represented by the 
sign) which combines two quantities. The result of addition is called a sum. For example, the sum of 3 and 2 is 5 because 
.
Notation
The sum of two numbers 
and 
is denoted 
, which is read "a plus b." The two numbers being added together, or and , are called addends. 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 
. - Distributivity:
- 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. - Equality: If
, then 
. - If is real and is positive,
. - The sum of a number and its Complex conjugate is a real number.
(See also Subtraction)
.
is equivalent to 
. This sum is usually denoted 
.
, then 
, 
, and 
.
for any complex number 
, is equal to 
, then 
.
.
(See also See also
This article is a stub. Help us out by expanding it.
