Question

Write down the value of $478\times 509$.

• A. 243302

Answer 1

The correct option is A 243302
Here, we are going to discuss the multiplication of three digits numbers with carry.

To find out the value of $478\times 509$, 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 $9$ with $8$, which is $\underset{–}{7}2$, where $7$ is carrying over to the next multiplication, $9\times 7$.

So, the next number, we get $(9\times 7)+7=63+7=\underset{–}{7}0$, where $7$ is carrying over to the next multiplication, $9\times 4$.

Hence, the next number would be $(9\times 4)+7=36+7=43$.


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

We first multiply $0$ with $8$, which is $0$. The next number, we get $0\times 7=0$. And, finally, we get $0\times 4=0$.



$\bullet$ 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 $5$ with $8$, which is $\underset{–}{4}0$, where $4$ is carrying over to the next multiplication, $5\times 7$.

So, the next number, we get $(5\times 7)+4=35+4=\underset{–}{3}9$, where $3$ is carrying over to the next multiplication, $5\times 4$.

Hence, the next number would be $(5\times 4)+3=20+3=23$.


$\bullet$ Next, we add $4302$, $0000$ and $239000$ to get the final result. Here, $‘‘1+"$ denotes the carry over in addition.



$\therefore \underset{–}{478\times 509=243,302}$