Question

Using distributivity of multiplication over addition of whole numbers, find each of the following products:
$$736 \times 103$$

Answer 1

$$\begin{aligned}{}736 \times 103 &= \left( {730 + 6} \right)\left( {100 + 3} \right)\\ &= 730\left( {100 + 3} \right) + 6\left( {100 + 3} \right)\\& = 730 \times 100 + 730 \times 3 + 6 \times 100 + 6 \times 3\\ &= 73000 + 2190 + 600 + 18\\& = 75808\end{aligned}$$