Name the property of multiplication illustrated by each of the following statements:

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:
  1. Commutative property
  2. Associative property
  3. Distributive property
  4. Property of multiplicative identity
  5. Property of multiplicative inverse
  6. Multiplicative property of 0

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