Question

write the addictive identity for rational numbers. Give examples also.​

Answer 1

Additive Indentity

Zero is the additive identity for Rational, natural, whole numbers and integers, since adding it to them does not change the result.

Hence, 0 + a = a + 0 = a, where a can be rational number or natural number or whole number of integer.

Answer 2

Additive Identity

✈︎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

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

Therefore, a + 0 = 0 + a = a

Therefore, a + 0 = 0 + a = a Where, a is any number.

Therefore, a + 0 = 0 + a = a Where, a is any number.

Therefore, a + 0 = 0 + a = a 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

✈︎additive identity example 1

★A flock of 12 birds sat over the branch of a tree. No more birds joined them. How many birds are sitting on the branch of the tree?

flock of 12 birds sat over the branch of a tree. No more birds joined them. How many birds are sitting on the branch of the tree?As no bird joined the flock of 12 birds, hence the number of birds remained the same.

flock of 12 birds sat over the branch of a tree. No more birds joined them. How many birds are sitting on the branch of the tree?As no bird joined the flock of 12 birds, hence the number of birds remained the same.This can be written in a mathematical expression as

flock of 12 birds sat over the branch of a tree. No more birds joined them. How many birds are sitting on the branch of the tree?As no bird joined the flock of 12 birds, hence the number of birds remained the same.This can be written in a mathematical expression as12 birds + 0 birds = 12 birds