Additive Identity and Additive Inverse

Additive identity

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.

Such that

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
Additive Inverse

Definition:

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.

 Such that

Further Reading:  What is Associative Property? Learn Addition & Multiplication Associative Property

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