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.
x + 0 = 0 + x = x
i.e. when 0 is added to x or x is added to 0 the result obtained will be the same number that is x
⇒0 is the identity for addition of rational numbers.
B. Incorrect, additive inverse of x will be –x not 0.
(c) Incorrect, multiplicative inverse of x will be and not 0.
(d) Incorrect, reciprocal of x will be and not 0.
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