The multiplicative inverse of 0 is ____

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Detailed Solution

Concept- The reciprocal is referred to as the multiplicative inverse in mathematics. If "x" were any number, its multiplicative inverse would be represented by

and

. Here, we'll determine the multiplicative inverse of and then fill in the missing information.
Always keep in mind that multiplying 0 by any other integer produces the value 0 as the result. Additionally, dividing any number by zero yields an answer of infinity or an undefined value.
Assuming that ab is the given number, the multiplicative inverse of the given number may be given by

. This is because we know that the multiplicative inverse of any fraction can be expressed for.
We are now required to determine the inverse of
Thus,

The multiplicative inverse of the aforementioned fraction is now 10
Since we are aware that anything split by zero has an infinite lifetime and is hence undefined.
As a result, the multiplicative inverse of zero is undefined and cannot be defined.
Hence, the correct answer is undefined.

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