Calculate the Product: Solving 99 × 19 Step by Step

Question

99×19= 99\times19=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:07 Break down 19 into 10 plus 9
00:11 Make sure to multiply the outer factor with each term in parentheses
00:21 Solve the multiplication
00:27 Break down 99 into 90 plus 9 using the distributive law
00:34 Make sure to multiply the outer factor with each term in parentheses
00:44 Solve each multiplication separately and then add
00:58 Use long addition
01:13 And this is the solution to the question

Step-by-Step Solution

To make it easier for us to solve, we will use the divisibility rule by 19:

99×(10+9)= 99\times(10+9)=

Let's multiply 99 by each term in parentheses:

(99×10)+(99×9)= (99\times10)+(99\times9)=

Let's solve the expression in the first parentheses:

990+(99×9)= 990+(99\times9)=

We'll separate the expression in parentheses in a way that uses the divisibility rule by 99:

990+(90+9)×9= 990+(90+9)\times9=

Let's multiply 9 by each term in parentheses and we get:

990+(90×9)+(9×9)= 990+(90\times9)+(9\times9)=

Let's solve each of the expressions in parentheses:

990+810+81= 990+810+81=

Let's solve the expression from left to right.

We'll solve the left expression by adding vertically:

990+810 990\\+810\\

We'll make sure to follow the correct order when solving the expression, ones with ones, tens with tens, and so on, and we get:

1,800 1,800

Now we get the expression:

1,800+81=1,881 1,800+81=1,881

Answer

1881 1881