Question:
Name the property of multiplication illustrated by each of the following statements:
(i) $\frac{-15}{8} \times \frac{-12}{7}=\frac{-12}{7} \times \frac{-15}{8}$
(ii) $\left(\frac{-2}{3} \times \frac{7}{9}\right) \times \frac{-9}{5}=\frac{-2}{3} \times\left(\frac{7}{9} \times \frac{-9}{5}\right)$
(iii) $\frac{-3}{4} \times\left(\frac{-5}{6}+\frac{7}{8}\right)=\left(\frac{-3}{4} \times \frac{-5}{6}\right)+\left(\frac{-3}{4} \times \frac{7}{8}\right)$
(iv) $\frac{-16}{9} \times 1=1 \times \frac{-16}{9}=\frac{-16}{9}$
(v) $\frac{-11}{15} \times \frac{15}{-11}=\frac{15}{-11} \times \frac{-11}{15}=1$
(vi) $\frac{-7}{5} \times 0=0$
Solution:
- Commutative property
- Associative property
- Distributive property
- Property of multiplicative identity
- Property of multiplicative inverse
- Multiplicative property of 0