Question

find the value of following sum using various properties (a) 4795*999+4795 (b)15625*1562-15625*5625

Answer 1

$$\begin{gathered} \left(1\right). \\ 4795\times 999+4795 \\ =4795\times 999+4795\times 1 \\ =4795\times \left(999+1\right)\mathbf{}\left[\mathbf{Distributive}\mathbf{}\mathbf{law}\right] \\ =4795\times 1000 \\ =4795000 \\ \left(2\right). \\ 15625\times 15625-15625\times 5625 \\ =15625\times \left(15625-5625\right)\mathbf{}\left[\mathbf{Distributive}\mathbf{}\mathbf{law}\right] \\ =15625\times 10000 \\ =156250000 \end{gathered}$$