Question

Which of the following option represents the correct flow for solving $256\times 50$ using lattice method?

• A.
• B.

Answer 1

The correct option is B

$\bullet$ To calculate $256\times 50$ using lattice method, we first separate $256$ as per its face values $2$, $5$ and $6$, and arrange along the table from left to right. And, we write $50$ as per its face values $5$ and $0$ at the farthest right from top to down.


$\bullet$ As the name suggests, in the lattice method, we draw separators which resemble the cone in diamond lattice as shown below.



$\bullet$ Now, we know $6\times 5=30$, $5\times 5=25$ and $2\times 5=10$, which are separated as per their face values by the arrows. We have followed the same process for the multiplication of $2$, $5$ and $6$ individually with $0$.


$\bullet$ Next, we write down the numbers just below the cell's position, and do the arrangement from left to right to get the final result of the multiplication.


$\bullet$ Finally, $256\times 50=12800$.

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