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 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)
Additive inverse of a number a is that number which on addition with a gives 0.7 is additive inverse of -7.The property shown is additive inverse property because the addition yields 0.