Inverse Property of Multiplication

Exercise 7.35

To find the multiplicative inverse, we find the reciprocal.

(a) The multiplicative inverse of $9$ is its reciprocal, $\frac {1}{9}$.

(b) The multiplicative inverse of $− \frac {1}{9}$ is its reciprocal, $-9$.

(c) To find the multiplicative inverse of $0.9$ we first convert $0.9$ to a fraction, $\frac {9}{10}$. Then we find the reciprocal, $\frac {10}{9}$.

TRY IT 7.69

(a) $\frac{1}{5}$

(b) $-7$

(c) $\frac{10}{3}$

TRY IT 7.70

(a) $\frac{1}{18}$

(b) $-\frac{5}{4}$

(c) $\frac{5}{3}$