# 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) multiplicative inverse of x

(d) reciprocal of x

**Solution:**

Given x + 0 = 0 + x = x

Additive identity means a number which when added to the given number gives the same result, addition of 0 doesn’t affect the x value.

Hence, 0 is called additive identity

**✦ Try This:** If 23 + 0 = 0 + 23 = 23, which is rational number, then 0 is called (a) identity for addition of rational numbers, (b) additive inverse of x, (c) multiplicative inverse of x, (d) reciprocal of x.

Here, 0 is added to 23 and the result is not affected

0 + 23 = 23

Therefore, 0 is called additive identity

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 1

**NCERT Exemplar Class 8 Maths Chapter 1 Problem 11**

## 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) multiplicative inverse of x, (d) reciprocal of x

**Summary:**

If x + 0 = 0 + x = x, which is a rational number, then 0 is called identity for addition of rational numbers

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