When it was used for the first time?
In 1953, it was used for the first time.
Definition of addictive identity
An element when added to a given element in a specified group provides that element unchanged is known as additive identity.
element “a” belongs to a set, now adding any number in “a” gives that number unchanged.i, e.
a + 5 = 5
a is the additive identity.
An example of additive identity
Zero (0) is the additive identity in the set of real numbers.
Another example of proper understanding:
If you have 6 candies. You bought zero more candies. Now, how many total candies do you have?
6 + 0 = 6
An element when added to a given element in a specified group gives 0 as the result is known as additive inverse.
The additive inverse is usually the negative of a given number, especially in the case of real numbers.
Element “a” belongs to a set. If we add negative of “a” I,e “-a” it gives the result zero as:
a + (-a) = 0
Example of the additive inverse
-5 + 5 = 0
The numbers 5 and -5 both are the additive inverse of each other.
Another example for proper understanding:
If you have 6 candies. You ate all the 6 candies. Now, how many remaining candies do you have?
6 + (-6) = 0