Find the multiplicative inverse (or reciprocal) of:

-16

To find the multiplicative inverse (or reciprocal) of a non-zero rational number, interchange its numerator and denominator.

Writing -16 in the form $\dfrac{p}{q}$ and interchanging the numerator and the denominator,

$\Rightarrow -16 = \dfrac{-16}{1} \\[1em] \Rightarrow \text{Multiplicative inverse} = \dfrac{1}{-16} = \dfrac{-1}{16}$

Hence, the multiplicative inverse of -16 is $\mathbf{\dfrac{-1}{16}}$.