Question

The value of $30\times 42$ is (solve using lattice method).

Answer 1

$\bullet$ To calculate $30\times 42$ using lattice method, we first separate $30$ as per its face values $3$ $\&$ $0$ and $42$ as per its face values $4$ $\&$ $2$. And, we arrange all the face values along the boundaries of the table as shown below.


$\bullet$ As the name suggests, in the lattice method, we draw separators for each of the cells which resemble the cone in diamond lattice.


$\bullet$ Now, we know $0\times 4=00$, $0\times 2=00$, $3\times 4=12$ and $3\times 2=06$, which are separated as per their face values by the arrows.


$\bullet$ 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, $30\times 42=1260$.