Question:
Name the property of multiplication shown by each of the following statements:
(i) $\frac{-12}{5} \times \frac{3}{4}=\frac{3}{4} \times \frac{-12}{5}$
(ii) $\frac{-8}{15} \times 1=\frac{-8}{15}$
(iii) $\left(\frac{-2}{3} \times \frac{7}{8}\right) \times \frac{-5}{7}=\frac{-2}{3} \times\left(\frac{7}{8} \times \frac{-5}{7}\right)$
(iv) $\frac{-2}{3} \times 0=0$
(v) $\frac{2}{5} \times\left(\frac{-4}{5}+\frac{-3}{10}\right)=\left(\frac{2}{5} \times \frac{-4}{5}\right)+\left(\frac{2}{5} \times \frac{-3}{10}\right)$
Solution:
(i) Commutative law of multiplication
(ii) Existence of multiplicative identity
(iii) Associative law of multiplication
(iv) Multiplicative property of 0
(v) Distributive law of multiplication over addition