Question

What is the value of $2,755\times 312$?

• A. $859,560$
• B. $803,400$
• C. $859,650$
• D. $797,784$

Answer 1

The correct option is A $859,560$

To find out the value of $2,755\times 312$, 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 $2$ with $5$, which is $\underset{–}{1}0$, where $1$ is carrying over to the next multiplication, $2\times 5$.

So, the next number, we get $(2\times 5)+1=10+1=\underset{–}{1}1$, where $1$ is carrying over to the next multiplication, $2\times 7$.

Hence, the next number would be $(2\times 7)+1=14+1=\underset{–}{1}5$, where $1$ is carrying over to the next multiplication, $2\times 2$.

And, finally, we get $(2\times 2)+1=4+1=5$.


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

As we multiply $2755$ with $1$, we get the multiplication result as $2755$.


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

We first multiply $3$ with $5$, which is $\underset{–}{1}5$, where $1$ is carrying over to the next multiplication, $3\times 5$.

So, the next number, we get $(3\times 5)+1=15+1=\underset{–}{1}6$, where $1$ is carrying over to the next multiplication, $3\times 7$.

Hence, the next number would be $(3\times 7)+1=21+1=\underset{–}{2}2$, where $2$ is carrying over to the next multiplication, $3\times 2$.

And, finally, we get $(3\times 2)+2=6+2=8$.


$\bullet$ Next, we add $5510$, $27550$ and
$826500$ to get the final result. Here, $‘‘1+"$ denotes the carry over in addition.



$\therefore \underset{–}{2,755\times 312=859,560}$

Hence, option (a.) is the correct one.