Question

Name the property under multiplication used in the following: $\frac{-19}{29}\times \frac{29}{-19}=1$.

Answer 1

Property used in multiplication.

According to the multiplicative inverse property, the product of a fraction with its reciprocal is equal to $1$.

i.e., $\frac{a}{b}\times \frac{b}{a}=1$

Here,$\frac{a}{b}=\frac{-19}{29}$ and $\frac{b}{a}=\frac{29}{-19}$

$\because \frac{-19}{29}\times \frac{29}{-19}=1$

Hence, the property under multiplication used in $\frac{-19}{29}\times \frac{29}{-19}=1$ is multiplicative inverse property.