Example 40 Show that a is not the inverse of a N for the addition operation + on N and 1 a is the not inverse of a N for the multiplication operation on N. Addition a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) So, a will be a negative Hence a is not a natural number a N So, a not is the inverse of a for addition on N. Multiplication a N Hence, a is a natural number (i.e. positive number 1, 2, 3, ) But , 1 is a fraction Hence 1 is not a natural number 1 N So, 1 is not the inverse of a for multiplication on N.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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