Question

The value of $999\times 333$ is .

• A. $323,667$
• B. $332,766$
• C. $233,766$
• D. $332,667$

Answer 1

The correct option is D $332,667$

To get the value of $999\times 333$, we follow the below steps:

$\bullet$ First we write the bigger number at the top and smaller number just below of it with a proper alignment of one's place.


$\bullet$ We first multiply $3$ with $9$, which is $\underset{–}{2}7$, where $2$ is carrying over to the next multiplication, $3\times 9$.

So, the next number, we get $(3\times 9)+2=27+2=\underset{–}{2}9$, where $2$ is carrying over to the next multiplication, $3\times 9$.

And, finally, we get $(3\times 9)+2=27+2=29$.


$\bullet$ For the next multiplication step, we leave one's place (denoted by faded $0$), and start from ten's place.

As we multiply $999$ with $3$ again, we get the same result $2997$.


$\bullet$ For the next multiplication step, we leave one's and ten's places (denoted by faded $0$), and start from hundred's place.

We again multiply $999$ with $3$; hence, we get the same multiplication result as $2997$.


$\bullet$ Next, we add $2997$, $29970$ and
$299700$ to get the final result. Here, $‘‘1+"$, $‘‘2+"$ denote the carry over in addition.



$\therefore \underset{–}{999\times 333=332,667}$