Question

find values using suitable properties

946 x 99 - (-946) =

625 x (-2) x (-625) x 98 =

Answer 1

$$\begin{gathered} \left(1\right). \\ 946\times 99-\left(-946\right) \\ =946\times 99+946 \\ =946\times 99+946\times 1 \\ =946\times \left(99+1\right)\left[\mathrm{Distributive}\mathrm{law}\right] \\ =946\times 100 \\ =94600 \\ \left(2\right). \\ 625\times \left(-2\right)+\left(-625\right)\times 98 \\ =625\times \left[\left(-2\right)+\left(-98\right)\right]\left[\mathrm{Distributive}\mathrm{law}\right] \\ =625\times \left[-100\right] \\ =-62500 \end{gathered}$$