» Addition properties

The sum of the natural numbers a and b is found as follows: when the count reaches to a, b more numbers are counted. The number reached is the sum of a and b.

Inverse binary operation to addition is subtraction.

Addition properties are:

  • commutativity - "commutative law of addition" or "commutative property of addition";
  • associativity - "associative law of addition" or "associative property of addition".

Identity element for addition, also known as the additive identity:

$$a+0=0+a=a$$


See also:

Frequently asked questions

What is addition in math?

Addition is the arithmetic operation of combining numbers or quantities to find their total.

What is the additive identity?

The additive identity is 0, because adding zero to a number does not change its value.

What properties does addition have?

Addition has important properties such as commutativity and associativity for real numbers.