Question

Write- 

(i) The set of numbers which do not have any additive identity 

(ii) The rational number that does not have any reciprocal 

(iii) The reciprocal of a negative rational number.

Answer 1

i) Set of natural numbers ’N’ doesn’t possesses the number ‘0’. 

ii) The rational number ‘0’ has no multiplicative inverse. 

[ ∵ 1/0 is not defined] 

iii) The reciprocal of a negative rational number is a negative rational number. 

Ex : Reciprocal of -2/5 = -5/2