Solve 13 × 8: Step-by-Step Multiplication Problem

Question

13×8= 13\times8=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's use the distributive law
00:07 Let's break down 8 to 10 minus 2
00:10 Make sure to multiply the outer term by each term in parentheses
00:19 Solve each multiplication separately and then subtract
00:27 Let's use long subtraction
00:38 And this is the solution to the question

Step-by-Step Solution

We will use the distributive property of multiplication and break down the number 13 into a subtraction exercise with smaller numbers. This allows us to work with smaller numbers and simplify the operation

Reminder - The distributive property of multiplication actually allows us to break down the larger term in the multiplication exercise into a sum or difference of smaller numbers, which makes the multiplication operation easier and gives us the ability to solve the exercise even without a calculator

13×(102)= 13\times(10-2)=

We will use the distributive property formula a(b+c)=ab+ac a(b+c)=ab+ac

13×1013×2= 13\times10-13\times2=

We will solve according to the order of operations

13026= 130-26=

Therefore the answer is option D - 104.

And now let's see the solution of the exercise centralized:

13×8=13×(102)=13×1013×2=13026=104 13\times8=13\times(10-2)=13\times10-13\times2=130-26=104

Answer

104 104