Question

Using suitable property, find the value of :

$3835\times 5\times 783+767\times 25\times 217$$?$

Answer 1

Find the product:

Given,

$3835\times 5\times 783+767\times 25\times 217$

$=767\times 5\times 5\times 783+767\times 25\times 217[767\times 5=3835]$

$=767\times 25\times 783+767\times 25\times 217$

$=767\times 25\times \left(783+217\right)$ [distributive multiplication over addition $a\times \left(b+c\right)=a\times b+a\times c$]

$=767\times 25\times 1000$ $[783+217=1000]$

$=\left(767\times 25\right)\times 1000$

$=19175\times 1000$

$=19175000$

Hence, the required value is $\mathbf{1}\mathbf{,}\mathbf{91}\mathbf{,}\mathbf{75}\mathbf{,}\mathbf{000}$.