If $ x+0=0+x=x $, which is rational number, then 0 is called
(a) identity for addition of rational numbers.
(b) additive inverse of $ x $.
(c) multiplicattve inverse of $ x $.
(d) reciprocal of $ x $.

Given:

\( x+0=0+x=x \), which is rational number.

To do:

We have to find the property.

Solution:

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.

For example,

$19+0=0+19=19$.

Option (a) is the correct answer.

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Updated on: 10-Oct-2022

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