It's the multiplicative property.(My teacher hates the word multiplicative.)
The identity property for addition states that there is a number, 0, such that x + 0 = 0 + x = x for all numbers x.
83*0 = 0 is the multiplicative property of zero. Incidentally, the identity property of multiplication states that x*1 = x = 1*x for all x in the group. That is a different property though sometimes confused with this one.
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 Identity Property
It is a consequence of the property that 0 is the additive identity.
The identity property for a set states that there exists an element in the set, denoted by 0, such that for all members, x, of the set,x + 0 = 0 + x = x.
The identity property of addition states that set contains an element (often denoted by 0) such that for any member x in the set, x + 0 = x = 0 + x.
It's called the zero property
For any number x, 0 + x = x + 0 = x
The zero property because it has a zero.
asosciative property
The identity property for a binary operation (addition, multiplication, etc) simply states that there is a unique element (number) such that x ~ i = x = i ~ x In terms of multiplication the identity property says that the number 1 exists with the property that 1*x = x = x*1 for all x In terms of addition the identity property says that the number 0 exists with the property that 0+x = x = x+0 for all x and so on for other binary operations.