Question

Assertion(A) :0+x = x+0=x Reason(R) : Zero is the identity element of addition.​

Answer 1

Step-by-step explanation:

Additive identity is one of the . The addition is the process of taking two or more and adding them together. In other words, it is the total sum of all the numbers.

There are four mathematical properties of addition. These are:

Closure Property

Commutative Property

Associative Property

Additive Identity Property

Here, we will discuss the additive identity.

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

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

Where, a is any number.

Answer 2

Step-by-step explanation:

Solution :

e is the identity of × if

a × e = e × a = a

i.e. a + e = e + a = a

This is possible if e = 0

Since,

a + 0 = 0 + a= a A a ∈ R

0 is the identity element for addition on R.