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

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

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