Question

Fill in the blanks to make each of the following a true statement :

$874\times 17+\left(58-58\right)=17\times \left(437\times \_\_\_\_\_\_\right)$

Answer 1

$$\begin{gathered} 874\times 17+\left(58-58\right) \\ =874\times 17+0 \\ =874\times 17 \end{gathered}$$

Using commutative law: $\mathrm{a}\times \mathrm{b}=\mathrm{b}\times \mathrm{a}$, we have

$874\times 17=17\times 874$

Further $874$ is a multiple of $437$,i.e. $874=437\times 2$

$\Rightarrow 17\times 874=17\times \left(437\times 2\right)$