Question

Find the multiplicative inverse of the following.
(i) $-13$
(ii) $\frac{1}{5}$
(iii) $\frac{-5}{8}\times \frac{-3}{7}$
(iv) $-1\times \frac{-2}{5}$
(v) $-1$

Answer 1

Multiplicative inverse of a number $P$ is $\frac{1}{P}$ as $P\times \frac{1}{P}=1$

i) Multiplicative inverse of $-13$ is $-\frac{1}{13}$

ii) Multiplicative inverse of $\frac{1}{5}$ is$5$

iii) $\frac{-5}{8}\times \frac{-3}{7}=\frac{15}{56}$

Multiplicative inverse = $\frac{56}{15}$

iv) $\frac{-2}{5}\times -1=\frac{2}{5}$

Multiplicative inverse $=\frac{5}{2}$

v) Multiplicative inverse of $-1$ is $-1$.