Question

Question 3(d)

Find the value of the following:

$3845\times 5\times 782+769\times 25\times 218$

Answer 1

We need to find out which of the following pairs would yield a product that would enable us to use the distributive property and take a common out.

$3845\times 5\times 782+769\times 25\times 218$

We can roughly estimate that $769\times 5$ would be somewhat near 3845. So we split 25 as $5\times 5$
= $3845\times 5\times 782+769\times 5\times 5\times 218$

Now since $769\times 5$ does equal to 3845, we can use the distributive property by taking $(3845\times 5)$ common
$3845\times 5\times 782+3845\times 5\times 218$ = $(3845\times 5)\times (782+218)$

= $3845\times 5\times 1000$

= $19225000$