Question

Find the product by short-cut method:

$612\times 999$

Answer 1

Given, $612\times 999$
According to the distributive property of multiplication over subtraction : $\mathrm{a}\times (\mathrm{b}-\mathrm{c})=\mathrm{ab}-\mathrm{ac}$

$$\begin{gathered} =612(1000-1) \\ =612\times 1000-612\times 1 \\ =612000-612 \\ =611388 \end{gathered}$$

Hence,$611388$ is a required answer.