Solve the Multiplication Problem: Calculate 12 × 33

Question

12×33= 12\times33=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:06 Break down 12 into 10 plus 2
00:10 Break down 33 into 30 plus 3
00:16 Open the parentheses properly
00:20 Multiply each term in the first parentheses by each term in the second parentheses
00:41 Solve each multiplication separately and then add
01:19 And this is the solution to the question

Step-by-Step Solution

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)×(30+3)= (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:

(10×30)+(10×3)+(2×30)+(2×3)= (10\times30)+(10\times3)+(2\times30)+(2\times3)=

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

300+30+60+6= 300+30+60+6=

We'll solve the exercise from left to right:

300+30=330 300+30=330

330+60=390 330+60=390

390+6=396 390+6=396

Answer

396