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

☛ Related Questions:

• To get the product 1, we should multiply 8/21 with (a) 8/21, (b) -8/21, (c) 21/8, (d) -21/8
• - (-x) is same as (a) - x, (b) x, (c) 1/x, (d) -1/x
• The multiplicative inverse of -1 1/7 is (a) 8/7, (b) -8/7, (c) 7/8, (d) -7/8