Multiply the following : $35$ by $12$

Given product: $\begin{array}{c}35\\ \times 12\\ \_\_\_\_\_\_\_\_\end{array}$

Multiplying first number by ones and tens of second number.

Multiplying $35$ by $2$ ones.

$35\times 2=70$ ones

Now multiplying $28$ by $1$ tens.

$35\times 1=35$ tens $=350$

Adding both the product:

$\begin{array}{c}35\\ \times 12\\ \_\_\_\_\_\_\\ 70\\ +350\\ \_\_\_\_\_\_\\ 420\end{array}$

Thus, $35\times 12=420$