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