Question

Multiply $225$ by $182$ using box multiplication method?

• A. $40,950$
• B. $39,950$
• C. $40,050$
• D. $40,450$

Answer 1

The correct option is A $40,950$

To multiply two numbers using the box method, we must first express them in expanded form.

$\therefore$ Numbers in expanded form are:
$225=200+20+5$ and
$182=100+80+2$

Now, $225\times 182=(200+20+5)\times (100+80+2)$
Since, both the numbers are of three digits, we need $3\times 3$ box as depicted in figure below,


Sum of numbers in each box will give the product of $225\times 182$

Therefore, $225\times 182=40,950$

(a) is the correct option.