I don't know which of these are 'first', but there is the:
Addition identity.
There is no property of addition that uses parentheses.
The reflexive property of relations is not the same as the addition property of equality.
It means that in an addition such as: a + b + c it doesn't matter whether you do the addition on the left, or the addition on the right, first. Similar for multiplication.
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
The commutative property of addition can be stated as: a+b = b+a
identity property of addition associative property
It is the commutative property of addition.
zero property of addition
Identity Property of Addition
The commutative property of addition is a fact that proves an answer is the same even if you switch the 2 numbers in the addition problem around. This only works with addition.