A Simple Way To Multiply Large Numbers

There’s an Easier Way for Children to Learn Multiplication!

For years, I have watched children struggle with Multiple-Digit Multiplication, which begins with problems like, 97 x 86, then quickly increases in difficulty to problems like, 5,984 x 763, and finally culminates in multiplying decimals like 5.83 x 7.3.  Children who are struggling with Multiple-Digit Multiplication are smart kids!  However, they have some gaps in their learning when it come to multiplication.  Simply repeating the same strategies they were taught when they first started learning multiplication will not work.

I looked for an easier strategy – one where all children would be successful multiplying large numbers.  I decided to incorporate Counting by the Numbers, an Area Box, and Simple Addition.  I taught this strategy to my 6th graders who struggle with multiple-digit multiplication.  After completing my series, every one of them were able to pass the educational standards for multiple-digit multiplication!

3-Steps Make Multiplication Simple!

Step 1 – Write your “Counting by the Numbers” for one of the factors (the numbers you are multiplying).  In this case I wrote 8’s and my 6’s.

Step 2 – Draw your Area Boxes.  In this case I need two area boxes, one for the 6 and another for the 80.  Next, Use the counting by the numbers to multiply these numbers.  (I demonstrate this strategy in a video below).

Step 3 – Finally, add all your products together.

Area Multiplication
is
Designed so that
ANYONE can Succeed at Multiplication!

Hello, my name is Brian McCoy, and I am a credentialed teacher in the state of California.  I have been teaching elementary and middle school children for over a quarter of a century.  After years of watching children struggle with the algorithm for multiplying large numbers, I set out to develop an easier method.  I created Area Multiplication.

Let me be clear, Area Multiplication is NOT for children who can already multiply large numbers like 574 x 763.  The process does take a bit more time.  However, Area Multiplication is structure in such a way that absolutely anyone can successfully multiply large numbers.

WHEN CHILDREN DO NOT KNOW THEIR MULTIPLICATION FACTS…
THEY NEED A STRATEGY!

By simply writing the “counting by the numbers” above their problem, children who do NOT know their multiplication facts can succeed!  For example, with the problem 97 x 86; Children can write “counting by the numbers” for 8’s and the 6’s.  The mathematical model at the top of this page shows the results.

My goal is for children is to memorize their multiplication facts.  However, until they know all their facts, they need a strategy.  Counting by the numbers is the easiest strategy to learn.  Therefore, I have added “counting by the numbers” to the end of each video.  Children who do not know all their multiplication facts should watch and count with me at the end of each of these videos until they can count by all the number on their own.  Repetition of this strategy will help in all areas of math that require multiplication.  Once a child knows all their multiplication facts, they can stop the videos after the problem is solved and before Counting by the Numbers begins.

The following offers a sample of each level on
Area Multiplication

Level 1

Book 1 – Problem Number 1
Ernie the Emu

This is a Watch Me Problem

Ernie the Emu loves having his photo taken.  As a matter of fact, Ernie gets his photo taken more than any other animal on the African Savanna.  He sticks his face in front of anyone he sees with a smart phone or a camera.  Ernie is 86 days old.  He has had his photo taken exactly 97 times every day of his life.  How many photos have been taken of Ernie the Photo-Hungry Emu?

The video below shows how I teach children to use
Area Multiplication for problems like 97 x 86!

For more information…
Check out my interactive ebook!

Price: $5.00
Available at Teachers Pay Teachers

After reading this book and completing the activities, you will be able to multiply a two digit number by another two digit number, (ie: 47 x 98).  This book forms the building blocks of understanding for all books in this series.

5-Levels to Understanding Area Multiplication

I have incorporated a cyclical learning approach, where each educational concept is first introduced, then reinforced, then revisited again and again – with each subsequent step rising to the next level of competency.  There are 5-levels that take children for the basics of multiplication to multiplying decimals by decimals.  I developed Area Multiplication in a manner that is very similar to the conventional algorithm.  Because of this, once a child understands the concept of multiplying large number, they can switch back to the standard algorithm (if they so choose).

Level 2

Book 2 – Problem Number 2
Cameel & Kamel the Singing Camels

This is a Work with Me Problem

Meet Cameel & Kamel the Singing Camels.  They are a brother and sister team that travel all over the world singing their beautiful melodies.  They sing 74 songs at each concert.  Cameel and Kamel are scheduled to perform 456 concerts.  How many songs will they sing?

The video below shows how I teach children to use
Area Multiplication for problems like 456 x 74!

For more information…
Coming Soon
This Book is NOT yet Published!

Price: $5.00
Coming Soon to
Teachers Pay Teachers

After reading this book and completing the activities, you will be able to multiply a two digit number by a three digit number, (ie: 94 x 368).

I scaffold the learning with the following process:

First, I have children complete a “Watch Me” problem, like the  first problem, “Ernie the Emu“.  Once they have completed the video, I have them copy down the entire problem into the notebook.

Next, I have students complete a “Work with Me” problem, like the  one above, “Cameel & Kamel the Singing Camels“.   Children read the problem, and then watch a video.  While watching, children are instructed to pause the video and copy the problem along side me.

Finally, I have children complete a number of problems on their own in order to solidify their skills.  Once they complete each problem, they are instructed to watch the “On Your Own” video.  The following videos are all On Your On videos.  During these videos, I encourage children to correct their mistakes.  Over the years, I have found that children make substantial jumps in understanding when they find their own mistakes and then fix them.  That is why I have included this form of teaching into all of my educational books.

Level 3

Book 3 – Problem Number 8
Lenny the One Armed Lobster

This is a On Your Own Problem

Lenny the One Armed Lobster is the strongest lobster in the entire world.  He only has one arm, but the claw has amazing crushing power.  When Lenny squeezes that claw, he put 5,029 foot-pounds of pressure on whatever he crushes.  If Lenny clamps down on 67 fish, how many foot-pounds of pressure would Lenny have created in all?

The video below shows how I teach children to use
Area Multiplication for problems like 5,029 x 67!

For more information…

Coming Soon
This Book is NOT yet Published!

Price: $5.00
Coming Soon to
Teachers Pay Teachers

After reading this book and completing the activities, you will be able to multiply a two digit number by a four digit number, (ie: 37 x 6,375).

Level 4

Book 4 – Problem Number 8
Souring Sandy the Daredevil Sea Turtle

This is a On Your Own Problem

Souring Sandy the Daredevil Sea Turtle is fearless.  When she sees a great white shark, rather than swim for safety, Souring Sandy races straight for the shark.  She headbutts the shark and sends it away from her children.  For the past 164 days her small area of ocean has been inundated with 7,538 great white sharks.  If Souring Sandy had to defend her children from each and every shark, once a day, how many times did she headbutt a great white in the past 164 days?

The video below shows how I teach children to use
Area Multiplication for problems like 7,538 x 164!

For more information…

Coming Soon
This Book is NOT yet Published!

Price: $5.00
Coming Soon to
Teachers Pay Teachers

After reading this book and completing the activities, you will be able to multiply a Three digit number by a four digit number, (ie: 694 x 6,368).

Level 5

Book 5- Problem Number 5
Vladimir Vulture

This is a On Your Own Problem

Vladimir Vulture is afraid of no one.  He even flies in and scares off lions that have just killed a Water buffalo.  Last month, lions have killed three water buffalos.  All together the buffalos weighed 924 pounds.  Vladimir Vulture flew in and ate 0.078 of the total water buffalo meat.  How much water buffalo meat did Vladimir eat?

The video below shows how I teach children to use
Area Multiplication for problems like 924 x 0.078!

For more information…

Coming Soon
This Book is NOT yet Published!

Price: $5.00
Coming Soon to
Teachers Pay Teachers

After reading this book and completing the activities, you will be able to multiply decimals, (ie: 0.93 x 4.83).

Thank you for reading this article.

Need Help with Division?

I have a series on division that is specifically designed for children who do not have all of their multiplication facts memorized.   The series is designed in a similar manner to this series on multiplication, where each and every problem is linked to a video tutorial.  Here is a link to my series on Division.

Want more Tutorials?

I’ve created an Educational Fantasy Game called, TeachersDungeon.  It is set to the Common Core Educational Standards, and is web-based, so it can be played on any device.  Many of the questions are accompanied by tutorials like the ones you saw here.

Looking for a Children’s Book or a Young Adult Novel?

I have also written a couple of books that are available on Amazon.  My Adventures with ChickenSpike is intended for children ages 7 to 10.  Red is a young adult novel intended for children ages 11 to 13.

MY ADVENTURES WITH CHICKENSPIKE – This is a chapter book that is perfect for children in 3rd and 4th grades.  My Adventures with ChickenSpike is a Children’s Fantasy Book.  The main character is a young boy who is being bullied.  He travels to a distant planet and finds his inner strength.  By the time he returns home not only is he no longer a victim, he is a hero!

 

 

RED – This is a young adult novel that is especially designed for children in 5th and 6th grades.  Red is an action packed adventure with two main characters and a number of supporting characters that add humor and drama to this novel.  Bruno Vic and Evelyn Rose attend Sir Francis Drake Middle School.  Bruno is big, street-wise, and tough, but he also has high morals and undying loyalty to his friends.  Evelyn Rose was born rich, but an unfortunate turn of events has landed her in the heart of the Tenderloin District of San Francisco.  Bruno, Evelyn, and their friends are desperate to steer clear of the gangs, so the turn to a mysterious man that the gangs seem to fear.  His name is Red.

One Last Thing

If you like this post and found it helpful, please click one of the share buttons for FaceBook, InstaGram, or LinkedIn at the top of this post.  You can also leave a comment.  I would love to hear how this this post and/or my books have helped.  As a teacher, perhaps the greatest reward I receive is from parents, children, and fellow teachers who use my strategies of education and succeed.

My mission in life and as an educator is to make people feel empowered, self-assured, and happy about who they are in this world!  We all have gifts to bestow upon our world.  Go forth and do so, and know that you are awesome!

Thanks & have a fantastic day – Brian McCoy

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