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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: