Back To Course

Math for Kids23 chapters | 325 lessons

Instructor:
*Mark Boster*

Some people use their fingers to help them do multiplication. Some use x's or other marks. There is even a lattice method. However, the most interesting and easiest one seems to be the Chinese Method.

Devon and his father were out in the country and decided to go on a twelve-mile horse ride. Devon counted twenty-one squirrels in the first mile, twenty-one in the second mile and twenty-one in each of the other miles. They were wondering how many squirrels they saw; however, they didn't have a piece of paper to multiply. Luckily, Devon did find some sticks and showed his father how to multiply with sticks. You want to know how he did that? Well, just hang on!

The **Chinese Method**, also known as the stick multiplication method, uses sticks to solve multiplication problems.

Look at Diagram One. First, Devon laid sticks beginning on the bottom left for the number 21. He put 2 red sticks for the tens place and 1 black stick for the ones place.

Then he laid out sticks beginning at the top left for the number 12, placing them diagonally on top of the first sticks. He used 1 red stick for the tens place and 2 black for the ones place.

Next, Devon divided the sticks into three sections (gray lines) - one for each place value. Let's see how he did that:

- Since the black lines represent the ones place, he found where the black lines crossed. Since they both are black, and are ones, 1 x 1 = 1. This is the ones column.
- Since the red lines are the tens place, and 10 x 10 = 100, that would be the hundreds column.
- Where the red and black cross (the middle column), 10 x 1 = 10, so that is the tens column.

Finally, he counted the times the sticks crossed each other in each section (blue dots). He started his counting in the ones place (the furthest right). He counted 2 dots and put a 2 in the circle. He counted 5 dots in the tens place and 2 dots in the hundreds place. Devon was able to use sticks to show that 21 x 12 = 252!

Pretty easy, huh?

Look at Diagram Two

Beginning at the bottom left, there are 4 hundreds, 3 tens and 3 ones. Those are crossed, starting at the top left, with the 1 ten and the 2 ones.

They are separated into place value by multiplying the place value of the lines, just like in the example above. This time, however, we also have a place value of 100 x 10 = 1000, so that is the thousands column.

OK, go ahead and count where the lines cross in each section.

Now you will notice that when you go to count the crossed sticks, in the hundreds place you have 11. Just like in regular multiplication, you can't have two digits in a column, so you must move it over to the thousands column. When you do that, then your thousands column has 5 instead of 4. After doing this, you see that 433 x 12 = 5,196. Not any more difficult, is it?

Well, look at Diagram Three.

In regular multiplication, when you multiply by 0 the answer is always 0. Same here! There is a red line there to show that the zero is the tens place, but it is crossed out so it doesn't get counted.

Now, figure out the place value columns by multiplying the place values. Look at Diagram Two if you need to.

Finally, place dots wherever the lines cross and then count the dots in each section. You should have gotten 2,142.

Pretty cool, right?!

The **Chinese Method**, or stick method, of multiplication involves properly placing and crossing sticks. You simply lay out sticks consistent with the place values of the digits being multiplied. Then you count the places where the sticks cross.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Login here for access

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
30 in chapter 4 of the course:

Back To Course

Math for Kids23 chapters | 325 lessons

- Subtraction: Lesson for Kids
- Expanded Form: Lesson for Kids
- Logic Problems: Lesson for Kids
- How to Do Long Multiplication: Lesson for Kids
- What is Multiplication? - Lesson for Kids
- Addition: Lesson for Kids
- Multiplication Properties Lesson for Kids
- Math Card Games for Kids
- Telling Time: Activities & Games for Kids
- Telling Time: Lesson for Kids
- Counting Money: Lesson for Kids
- Telling Time to the Minute: Lesson for Kids
- Divisibility Rules for 10: Lesson for Kids
- Divisibility Rules for 2: Lesson for Kids
- Divisibility Rules for 5: Lesson for Kids
- Division Lesson for Kids: Definition & Method
- Long Division Steps: Lesson for Kids
- Estimation: Lesson for Kids
- Lattice Method of Multiplication
- What Are Different Ways to Multiply? 3:52
- Different Ways to Divide
- What is a Theorem? - Definition & Examples 3:11
- What is Subtraction with Regrouping?
- How to Divide a Whole Number by a Decimal
- What is Addition With Regrouping?
- Finding the Missing Addend
- Metric System vs. Imperial System
- History of the Metric System: Lesson for Kids
- How Money is Made: Lesson for Kids
- What is the Chinese Multiplication Method?
- 4 Digit Subtraction with Regrouping
- How to Multiply Using Expanded Form 3:52
- How to Write Numbers in Expanded Form 3:58
- Famous Mathematicians: Lesson for Kids
- How to Write Decimals in Expanded Form 3:30
- Length Lesson for Kids: Definition & Measurement
- 4 Digit Addition with Regrouping
- Expanded Notation Method for Division
- Expanded Notation Method for Multiplication 3:23
- Multiplication & Division Fact Families
- Addition & Subtraction Fact Families
- 4 Digit by 1 Digit Multiplication
- Metric Conversions: Lesson for Kids
- How to Divide by Double Digit Numbers
- Two-Step Math Word Problems 4:03
- How to Borrow in Math
- Math Word Problems: Lesson for Kids
- How to Learn Times Tables
- The Box Method for Multiplication 2:29
- 4 Digit by 2 Digit Multiplication
- What Does Equivalent Mean in Math? 4:13
- 1st Grade Math Vocabulary: Lesson for Kids
- Go to Math Basics for Elementary School

- Computer Science 335: Mobile Forensics
- Electricity, Physics & Engineering Lesson Plans
- Teaching Economics Lesson Plans
- U.S. Politics & Civics Lesson Plans
- US History - Civil War: Lesson Plans & Resources
- iOS Data Analysis & Recovery
- Acquiring Data from iOS Devices
- Foundations of Digital Forensics
- Introduction to Mobile Forensics
- Examination of iOS Devices
- CNE Prep Product Comparison
- IAAP CAP Prep Product Comparison
- TACHS Prep Product Comparison
- Top 50 Blended Learning High Schools
- EPPP Prep Product Comparison
- NMTA Prep Product Comparison
- Study.com NMTA Scholarship: Application Form & Information

- History of Sparta
- Realistic vs Optimistic Thinking
- How Language Reflects Culture & Affects Meaning
- Logical Thinking & Reasoning Questions: Lesson for Kids
- Human Geography Project Ideas
- Asian Heritage Month Activities
- Types of Visualization in Python
- Quiz & Worksheet - Frontalis Muscle
- Octopus Diet: Quiz & Worksheet for Kids
- Quiz & Worksheet - Fezziwig in A Christmas Carol
- Quiz & Worksheet - Dolphin Mating & Reproduction
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies
- Social Studies Lesson Plans
- ESL Games for the Classroom

- ILTS School Counselor (181): Test Practice and Study Guide
- Macroeconomics Syllabus Resource & Lesson Plans
- ILTS Social Science - History (246): Test Practice and Study Guide
- CSET English Subtest IV (108): Practice & Study Guide
- Educational Psychology: Homework Help Resource
- Domains of Human Development: Help and Review
- The Cold War (1950-1973): Homework Help
- Quiz & Worksheet - Vegetative Propagation in Plants
- Quiz & Worksheet - Features of Immunoglobulin E (IgE)
- Quiz & Worksheet - Collaborative Team Teaching
- Quiz & Worksheet - Strategies for Increasing Student Engagement
- Quiz & Worksheet - David Wechsler on Intelligence

- Adenine: Structure, Overview
- Strategies for Teaching Music to High School Students
- Kentucky Science Standards for 3rd Grade
- Fantasy Writing Prompts
- Time Management Lesson Plan
- How to Pass the California Real Estate Exam
- Failed the USMLE Step 1: Next Steps
- Wisconsin Science Standards for Kindergarten
- Wisconsin State Social Studies Standards
- What is CCNA Certification?
- What Does Redshirt Mean in Kindergarten?
- USMLE Step 3 Registration

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject