Question

Find the multiplicative inverse of the following.
(i) $-13$ (ii) $\frac{-13}{19}$ (iii) $\frac{1}{5}$

Answer 1

(i) The multiplicative inverse of $-13$ is $-\frac{1}{13}$. Since $(-13).\frac{1}{-13}=1$ (Multiplicative identity)

(ii) The multiplicative inverse of $\frac{-13}{19}$is $-\frac{19}{13}$. Since $\frac{(-13)}{19}.\frac{19}{-13}=1$ (Multiplicative identity)

(iii)The multiplicative inverse of $\frac{1}{5}$ is $5$. Since $\frac{1}{5}.5=1$ (Multiplicative identity)