Calculate the Product: Solving 12×19 Step by Step

Question

12×19= 12\times19=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:06 Break down 12 into 10 plus 2
00:12 Break down 19 into 10 plus 9
00:15 Pay attention to open parentheses properly
00:23 Each term in parentheses multiplies each term in the second parentheses
00:43 Solve each multiplication and then add
01:07 Solve one addition operation at a time
01:25 And this is the solution to the question

Step-by-Step Solution

To make solving easier, let's break down 12 and 19 into more convenient numbers, preferably round numbers.

We get:

(10+2)×(10+9)= (10+2)\times(10+9)=

We'll use the distributive property to solve.

First, 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.

We get:

(10×10)+(10×9)+(2×10)+(2×9)= (10\times10)+(10\times9)+(2\times10)+(2\times9)=

Let's solve what's in the parentheses and we get:

100+90+20+18= 100+90+20+18=

Let's solve from left to right:

190+20+18=210+18=228 190+20+18=210+18=228

Answer

228