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What is the multiplicative inverse of $ - \dfrac{{13}}{{19}}? $

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Last updated date: 25th Feb 2024
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IVSAT 2024
Answer
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Hint: Before we start solving this solution, refer to the basic concepts of multiplicative inverse and understand it first. Multiplicative is also known as the “reciprocal” which is simply one of a pair of numbers that, when multiplied together, results in a value equal to one.

Complete step-by-step answer:
In other simple words, the multiplicative inverse can be well represented as the reciprocal.
Let us suppose that - “x” be any number then its multiplicative inverse can be expressed as $ \dfrac{1}{x}{\text{ }} $ or $ {\text{ }}{{\text{x}}^{ - 1}} $ .
If the given number is fraction, then its reciprocal is received by changing numerator with the denominator and denominator with its numerator.
Now, the reciprocal of the given number: $ - \dfrac{{13}}{{19}} = - \dfrac{{19}}{{13}} $
This is the required solution.
So, the correct answer is “ $ - \dfrac{{19}}{{13}} $ ”.

Note: Additive inverse can be expressed as the number which when added to the original number results value equal to zero as the resultant value. For example; Additive inverse or in simple words it is the change in the sign of the terms where positive term becomes negative and negative term becomes positive keeping the value of the term same.