find the product of 85*102 using distributive property

Dear Student,

$$\begin{gathered} 85\times 102 \\ =85\times \left(100+2\right) \\ [\mathrm{Using}\mathrm{Distributive}\mathrm{property}a\times \left(b+c\right)=\mathrm{ab}+\mathrm{bc}] \\ =85\times 100+85\times 2 \\ =8500+170 \\ =8,670 \end{gathered}$$

Regards