Question

Write the multiplicative inverse of each of the following rational numbers. $7$, $-11$, $\frac{2}{5}$, $-\frac{7}{15}$ .

Answer 1

Determine the multiplicative inverse.

The multiplicative inverse of a number $x$ is represented $\frac{1}{x}$ such that$\frac{1}{x}.x=1$

1. The multiplicative inverse of $7$ is$\frac{1}{7}$ Such that $\frac{1}{7}.7=1$
2. The multiplicative inverse of $-11$ is$-\frac{1}{11}$ Such that $-\frac{1}{11}.-11=1$
3. The multiplicative inverse of $\frac{2}{5}$ is$\frac{5}{2}$ Such that $\left(-\frac{5}{2}\right).\left(-\frac{5}{2}\right)=1$
4. The multiplicative inverse of $-\frac{7}{15}$ is$-\frac{15}{7}$. Ssuch that$-\frac{15}{7}.\left(-\frac{7}{15}\right)=1$

Hence, the multiplicative inverse of $7$, $-11$ $\frac{2}{5}$and $-\frac{7}{15}$ are$\frac{1}{7}$, $-\frac{1}{11}$ $\frac{5}{2}$and$-\frac{15}{7}$ respectively.