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Question: Determine if the set of natural numbers and the operation of multiplication form a field.


A ) Yes
B ) No

Steps to derive

1 The multiplicative inverse property is not satisfied by the set of natural numbers.

2 For example, 11 × 111 = 1, but 111 is not a natural number.

3 Therefore the set of natural numbers and the operation of multiplication do not form a field.



Hence the right answer is Option B

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