Question

The value of $678\times 909$ is .

• A. $616,203$
• B. $616,023$
• C. $616,032$
• D. $616,302$

Answer 1

The correct option is D $616,302$

Here, we are going to discuss the multiplication of three digits
numbers with carry.

To find out the value of $678\times 909$, 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 $8$ with $9$, which is $\underset{–}{7}2$, where $7$ is carrying over to the next multiplication, $8\times 0$.

So, the next number, we get $(8\times 0)+7=0+7=7$.

And, finally, we get $8\times 9=72$.


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

We first multiply $7$ with $9$, which is $\underset{–}{6}3$, where $6$ is carrying over to the next
multiplication, $7\times 0$.

So, the next number, we get $(7\times 0)+6=0+6=6$.

And, finally, we get $7\times 9=63$.


$\bullet$ 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 $6$ with $9$, which is $\underset{–}{5}4$, where $5$ is carrying over to the next
multiplication, $6\times 0$.

So, the next number, we get $(6\times 0)+5=0+5=5$.

And, finally, we get $6\times 9=54$.


$\bullet$ Next, we add $7272$, $63630$ and
$545400$ to get the final result. Here, $‘‘1+"$ denotes the carry over in addition.


$\therefore \underset{–}{678\times 909=616,302}$