Solve the Multiplication Problem: Calculate 12 × 33

$12\times33=$

To make it easier for ourselves in the solving process, we'll break down 12 and 33 into exercises with smaller and more convenient numbers, preferably round numbers.

$(10+2)\times(30+3)=$

We'll solve the exercise using the distribution law:

We'll multiply the first term in the left parentheses by the first term in the right parentheses.

We'll multiply the first term in the left parentheses by the second term in the right parentheses.

We'll multiply the second term in the left parentheses by the first term in the right parentheses.

We'll multiply the second term in the left parentheses by the second term in the right parentheses.

And we get:

$(10\times30)+(10\times3)+(2\times30)+(2\times3)=$

We'll solve each of the expressions in parentheses and get:

$300+30+60+6=$

We'll solve the exercise from left to right:

$300+30=330$

$330+60=390$

$390+6=396$