Question

Evaluate using suitable properties.
a. 4*(25*7)-2*(5*16)

Answer 1

Answer :

Evaluate : $4\times \left(25\times 7\right)-2\times \left(5\times 16\right)$ , So

$$\begin{gathered} \Rightarrow 4\times \left(5\times 5\times 7\right)-2\times \left(5\times 4\times 4\right) \\ \mathrm{Now}\mathrm{we}\mathrm{apply}\mathrm{Associative}\mathrm{Law}\mathrm{and}\mathrm{get} \\ \Rightarrow 4\times 5\left(5\times 7\right)-4\times 5\left(2\times 4\right) \\ \Rightarrow 20\left(35\right)-20\left(8\right) \\ \mathrm{Now}\mathrm{we}\mathrm{apply}\mathrm{Distributive}\mathrm{Law}\mathrm{and}\mathrm{get} \\ \Rightarrow 20\left(35-8\right) \\ \Rightarrow 20\left(27\right) \\ \mathbf{\Rightarrow }\mathbf{540}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathbf{Ans}\mathbf{}\mathbf{)} \end{gathered}$$