Question

Tell which property allows you to compute $\frac{1}{5}\times \left(\frac{5}{6}\times \frac{7}{9}\right)as\left(\frac{1}{5}\times \frac{5}{6}\right)\times \frac{7}{9}$

Answer 1

We know that the Associative property for Multiplication states that on changing the order of rational numbers, the product remains the same.

i.e., $\mathrm{a}\times (\mathrm{b}\times \mathrm{c})=(\mathrm{a}\times \mathrm{b})\times \mathrm{c}$

In $\frac{1}{5}\times \left(\frac{5}{6}\times \frac{7}{9}\right)=\left(\frac{1}{5}\times \frac{5}{6}\right)\times \frac{7}{9}$

$\mathrm{a}=\frac{1}{5},\mathrm{b}=\frac{5}{6}$ and $\mathrm{c}=\frac{7}{9}$

Hence, The given set of rational numbers is according to the rule of Associative property for Multiplication.