Question

Name the property under multiplication used in the following:$\frac{-4}{5}\times 1=1\times \frac{-4}{5}=\frac{-4}{5}$

Answer 1

Property of multiplication.

According to the multiplicative identity of a fraction if one is multiplied by any fraction the resultant is the original number.

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

Here, $\frac{a}{b}=\frac{-4}{5}$

$\because \frac{-4}{5}\times 1=1\times \frac{-4}{5}=\frac{-4}{5}$

Hence, the property under multiplication used in $\frac{-4}{5}\times 1=1\times \frac{-4}{5}=\frac{-4}{5}$ is the multiplicative identity property