**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**

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 b**oth 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