Question

a +(-a) =(-a) +a=0 which property is this
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Answer 1

Answer:

This is additive inverse property

Hope it's helpful

Answer 2

Answer:

Additive identity is a number, which when added to any number, gives the sum as the number itself. It means that additive identity is “0” as adding 0 to any number, gives the sum as the number itself.

Example:

2 + 0 = 2

0 + 5 = 5

For any set of numbers, that is, all integers, rational numbers, complex numbers, the additive identity is 0. It is because when you add 0 to any number; it doesn’t change the number and keeps its identity.

Therefore, a + 0 = 0 + a = a

Step-by-step explanation:

Where, a is any number.

However, additive identity cannot be associated to natural numbers, since 0 is not considered as a natural number. Natural numbers start from 1.

Let us see some examples to understand additive identity.

There are 5 kids on a team. No other kid joined the team till the end of the game. How many kids were in the game?

As no one joined the game, this means there was no change in the number of kids.

5 kids + 0 kids = 5 kids