Question

Find 105*38 using distributive property of multiplication over addition

Answer 1

$$\begin{gathered} \mathrm{According}\mathrm{to}\mathrm{distributive}\mathrm{property}\mathrm{of}\mathrm{multiplication}\mathrm{over}\mathrm{addition} \\ \mathrm{a}\left(\mathrm{b}+\mathrm{c}\right)=\mathrm{ab}+\mathrm{ac} \\ \mathrm{Now}, \\ 105\times 38=\left(100+5\right)\times 38 \\ =\left(38\times 100\right)+\left(38\times 5\right) \\ =3800+190 \\ =3990\mathrm{ANS}... \end{gathered}$$