Because zero plus anything produces an identity, that is, the original thing itself.
a + 0 =aIn other words,when you add zero to a number, you get what you started with. This is called the 'addition property of zero'.
The result of addition is called the "sum."
0 is the identity
The identity property for addition states that there is a number, 0, such that x + 0 = 0 + x = x for all numbers x.
The Identity Property of Addition.
Identity property of addition states that the sum of zero and any number or variable is the number or variable itself. 3 + 0 = 3
+8 - 8 = 0 is an example of the inverse property of addition. Inverse Property of Addition-A number added to its opposite integer will always equal zero. (The order does not matter, since it is addition.) [Ex. 3 + (-3) = 0 or (-3) + 3 = 0]
For any number x, 0 + x = x + 0 = x
0 is the identity under addition.
The property that states any number plus zero equals the number itself is called the Additive Identity Property. This property demonstrates that zero is the identity element for addition, meaning it does not change the value of the number when added. For example, ( a + 0 = a ) for any number ( a ).
the identity property of addition keeps its identity. Here is an example: 8+0=8 or 25+0=25that number added to zero. ( 12+0=2 790+0=790)
The set of rational number satisfies the following properties with regard to addition: for any three rational numbers x, y and z, · x + y is a rational number (closure under addition) · (x + y) + z = x + (y + z) (associative property of addition) · There is a rational number, 0, such that x + 0 = 0 + x = x (existence of additive identity) · There is a rational number, -x, such that x + (-x) = (-x) + x = 0 (existence of additive inverse) · x + y = y + x (Abelian or commutative property of addition)