Double Digit Multiplication Strategies

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  • 0:01 Methods of Double…
  • 0:37 Traditional Method
  • 2:25 Box Method
  • 3:35 Partial Product Method
  • 4:36 Lesson Summary
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Lesson Transcript
Instructor: Stephanie Matalone

Stephanie taught high school science and math and has a Master's Degree in Secondary Education.

In this lesson, we will learn three different strategies for double digit multiplication including the traditional method, the box method, and the partial product method.

Methods of Double Digit Multiplication

So, you know the basics of multiplication and how to find a product, a number that results from adding another number to itself a certain amount of times. You know that 4 times 3 is equal to 12 because you are adding 4 to itself three times.

You learned your multiplication tables and can do basic single multiplication but then the numbers got bigger, and now you are lost. What ever will you do? Don't worry, we will go over three methods to solve double digit multiplication problems: traditional, box and partial product.

Traditional Method

The first method to solve double digit multiplication problems is called the traditional method in which the two numbers being multiplied are lined up on top of each other so that single digit multiplication can be used.

So let's say you need to multiply 12 by 32, you will follow these steps:

Step 1: Line up the two numbers being multiplied on top of one another. Ensure that the ones place, numbers further to the right, are on top of one another. Ensure that the tens place, numbers to the left of the ones place, are also on top of one another.

Step 2: Multiply the numbers in the ones place. In our example, 2 is multiplied by 2. The product, 4, is then placed right below the line in the ones place under both 2's.

Step 3: Multiply the bottom numbers' one place with the top numbers' tens place. In our example, the bottom 2 is multiplied with the top 1. The product 2, is then placed to the left of the 4 from Step 2.

Step 4: Put a zero in the ones place on the next line because we will now be multiplying a number from the tens place, rather than the ones place. Because of this, the product cannot be in the slot furthest to the right.

Step 5: Multiply the tens place on the bottom with the ones place on the top. In our example, 3 is multiplied by 2 to give 6, which is placed to the left of the 0.

Step 6: Multiply the tens place together. In our example, 3 is multiplied by 1 to give 3 which is placed to the left of the 6 in the bottom row.

Step 7: Add the two products together to get the final answer. In our example, 24 and 360 are added together to get the final answer of 384.

Box Method

The next method that can be used to multiply double digit numbers is called the box method in which a grid is used to separate the tens and ones place to make multiplication easier. To multiply 12 and 32 using the box method, follow these steps:

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