Question

Using distributive property, find $-2916\times 1005$

Answer 1

Given product: $-2916\times 1005$

Using the distributive property, i.e., $\mathrm{a}(\mathrm{b}+\mathrm{c})=\mathrm{ab}+\mathrm{ac}$.

So, here we can write $1005=1000+5$

$\Rightarrow \mathrm{a}=-2916,\mathrm{b}=1000\mathrm{and}\mathrm{c}=5$

So,

$-2916\times 1005=-2916(1000+5)$

$$\begin{gathered} =-2916\times 1000-2916\times 5 \\ =-2916000-14580 \\ =-2930580 \end{gathered}$$

Hence, $-2916\times 1005=-2930580$.