Identity
The zero property because it has a zero.
The existence of an additive identity, denoted by 0, which has the property that x + 0 = 0 + x = x for all x belonging to a set of numbers.
The Abelian property or commutative property.
the additive inverse property states that a number plus it's opposite equals zero. in other words, x + (-x) = 0 example: 5 + (-5) = 0
Identity
The zero property because it has a zero.
Due to a special property of zero, x+0 is the same as x.
The existence of an additive identity, denoted by 0, which has the property that x + 0 = 0 + x = x for all x belonging to a set of numbers.
because its zero
That's the identity property of addition. Anything plus zero equals what you started out with.
The Abelian property or commutative property.
It defines 0 as the identity in the group of numbers with respect to addition.
the additive inverse property states that a number plus it's opposite equals zero. in other words, x + (-x) = 0 example: 5 + (-5) = 0
This is the existence of additive inverse: For every number, x, there exists a number, denoted by (-x), such that x + (-x) = (-x) + x = 0.
This is the Commutative property or law.
x + y + z = x + z + y is the commutative property of addition.