Question

The value of $32\times 45$ is (solve using the box method).

• A. $1404$
• B. $1444$
• C. $1440$

Answer 1

The correct option is C $1440$

To get the value of $32\times 45$ using box method, we first split $32$ as $30$ $\&$ $2$ and $45$ as $40$ $\&$ $5$, and place the numbers along the boundaries of the box as shown below.


Next, we multiply the corresponding values of each of the four blocks. The results after the multiplication can be obtained as

$\bullet 40\times 30$
$=4\times 10\times 3\times 10$
$=4\times 3\times 10\times 10$
$=12\times 100$
$=1,200$

$\bullet 40\times 2$
$=4\times 10\times 2$
$=4\times 2\times 10$
$=8\times 10$
$=80$

$\bullet 5\times 30$
$=5\times 10\times 3$
$=5\times 3\times 10$
$=15\times 10$
$=150$

$\bullet 5\times 2$
$=10$


Finally, we add all the cell's values to get the result for $32\times 45$.

Hence,
$32\times 45$
$=1,200+80+150+10$
$=1,440$