*Emily Hume*Show bio

Emily is a Reading Specialist and Literacy coach in a public elementary school with a Master's Degree in Elementary Education.

Lesson Transcript

Instructor:
*Emily Hume*
Show bio

Emily is a Reading Specialist and Literacy coach in a public elementary school with a Master's Degree in Elementary Education.

Multiplication--even with big numbers--can be easy! With this lesson, you will learn how to multiply two- and three-digit numbers using a simple, easy technique called the box method for multiplication. With this method, you can multiply large numbers without all the usual steps involved!

The **box method** is one way to solve a multiplication problem with two, three, or even more digits. It's an alternative to traditional multiplication, which takes many steps and creates lots of opportunities for mistakes along the way. Try this method and see if you like it!

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Are you a student or a teacher?

Create Your Account To Continue Watching

As a member, you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Get unlimited access to over 84,000 lessons.

Try it now
Replay

Your next lesson will play in
10 seconds

The first step is to write both of your numbers in **expanded form**, which means you separate the hundreds, tens, and ones by putting a big plus sign in between each one. Below is an example that you can check out:

After you've written your numbers in expanded form you're ready to draw your box. You'll know how many boxes to draw based on the number of **digits**, or single numbers, in the numbers you're multiplying. For example, if your problem is 46 x 958, you will need 2 boxes down (for 46) and 3 boxes across (for 958). Write your expanded form numbers on the outside of the boxes, with one part per box.

Now you simply start multiplying individual numbers to fill in the boxes. In the example problem, you would first multiply 40 x 900 (a quick trick: multiply the first number only, then add all the zeros to your answer. So, 4 x 9 = 36; then add the three zeros to make your answer: 36,000). Next, 40 x 50 = 2,000, and 40 x 8 = 320. Write all of your answers in the top row of boxes. Then repeat with the next row (6 x 900, 6 x 50, 6 x 8). Your boxes will now be full of numbers. You're ready for the next step.

Finally, you add all of the numbers in your boxes together and you have your answer. So, for the problem 46 x 958, you will have six numbers to add together, as you can see in the diagram below:

Simple, right?

From this lesson, you've learned how to use the **box method** of multiplication to solve multiplication problems with more than one digit by first writing your numbers in expanded form, then multiplying individual numbers, and finally adding all of the numbers together. You now know what **expanded form** is - you separate the hundreds, tens, and ones by putting a plus sign in between each one - and that **digits** are single numbers. This is a great way to solve a multiplication problem quickly and easily with less room for mistakes.

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

BackRelated Study Materials

- Math Courses
- Study Courses
- Study Guide & Help Courses
- College Courses
- High School Courses
- Quantitative Analysis
- UExcel Statistics: Study Guide & Test Prep
- CLEP College Mathematics: Study Guide & Test Prep
- College Mathematics: Certificate Program
- Calculus: Certificate Program
- Introduction to Statistics: Certificate Program
- Precalculus Algebra: Certificate Program
- Precalculus: Certificate Program
- College Algebra: Certificate Program
- CLEP Calculus: Study Guide & Test Prep
- Contemporary Math
- Precalculus: Tutoring Solution
- College Algebra: Help and Review

- Hyperboloids of One Sheet
- Conway's Game of Life: Rules & Instructions
- Infinite Limit: Definition & Rules
- What is the Addition Rule for Limits? - Definition & Overview
- First Derivative: Function & Examples
- Quiz & Worksheet - Newton-Raphson for Nonlinear Systems of Equations
- Quiz & Worksheet - Graphing to Solve Equations on Scientific Calculators
- Rate of Change in Calculus: Help and Review
- Calculating Derivatives and Derivative Rules: Help and Review
- Graphing Derivatives and L'Hopital's Rule: Help and Review
- Applications of Derivatives: Help and Review
- Area Under the Curve and Integrals: Help and Review

- Biology 202L: Anatomy & Physiology II with Lab
- Biology 201L: Anatomy & Physiology I with Lab
- California Sexual Harassment Refresher Course: Supervisors
- California Sexual Harassment Refresher Course: Employees
- Sociology 110: Cultural Studies & Diversity in the U.S.
- Required Assignments for Astronomy 101
- Developing Reading and Fluency Skills
- Fluid, Electrolyte & Acid-Base Balance
- Public Health in Nutrition
- Practice Management
- ESL Resource Guide for Teachers
- What is a Homeschool Co-op?
- How to Start Homeschooling Your Children
- Addressing Cultural Diversity in Distance Learning
- New Hampshire Homeschooling Laws
- Setting Student Expectations for Distance Learning
- COVID-19 Education Trends that are Here to Stay

- The White Man's Burden: Meaning & Analysis
- Fast Tracking in Project Management: Advantages & Disadvantages
- Feminism in Antigone
- Making Balance Day Adjustments to Accounting Reports
- Indexes in Business: Definition, Use & Examples
- Fabric Finishing & Treatments: Process & Methods
- How to Create Computer Objects in Active Directory for Windows Server 2016
- Quiz & Worksheet - Measuring Structures in Real Estate
- Quiz & Worksheet - Antigone Death Scene
- Quiz & Worksheet - Ancient African Inventions
- Quiz & Worksheet - Segment Relationships in Circles
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- Kindergarten Math Worksheets & Printables
- Teaching ELL Students | Strategies for English Language Learners | Study.com

- MTEL Mathematics (Elementary) (53): Practice & Study Guide
- College English Composition: Help and Review
- Common Core Math Grade 8 - Functions: Standards
- Educational Psychology: Homework Help Resource
- High School Trigonometry Textbook
- Population Genetics and Evolution
- AP Environmental Science Agricultural Resources: Help & Review
- Quiz & Worksheet - Landslides
- Quiz & Worksheet - Components of DNA Replication
- Quiz & Worksheet - Finding Area Between Functions With Integration
- Quiz & Worksheet - Events of the Renaissance
- Quiz & Worksheet - Examples of Natural Disasters

- Prenatal Development & Psychology: Stages & Abnormal Development
- Hawaiian Queen Liliuokalani: Quotes & Biography
- Summer Tutoring Ideas
- Script Writing Prompts
- Word Walls: Ideas, Activities & Games
- How to Pass Anatomy and Physiology
- Easy Science Experiments to Do at Home
- 9th Grade Writing Prompts
- Reading Comprehension Questions on the LSAT
- Study.com Grant for Teachers
- Deciding On Taking the SAT With Essay: Pros & Cons
- Introduction to Western Civilization II Course

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

- How to FOIL box method?
- Find the largest volume of the rectangular box with sides x, y, z satisfying x + 2y + 3z = 6.
- Simplify: 8 \times 2(2 + 2)
- Multiply the following using the area model. Make sure to draw the rectangle and show the product of your multiplication. (x + 2)(4x - 3)
- Find the product of 32 and 46. Now reverse the digits and find the product of 23 an 64. The products are the same. Does this happen with any pair of two-digit numbers? Find Two other pairs of two-digi
- A = \begin{bmatrix} 5 & -6 & 7 \end{bmatrix} B = \begin{bmatrix} 3\\ 4\\ 1 \end{bmatrix} C = \begin{bmatrix} 1& 2 & 4\\ 0& 1 &-1 \\ 3 & 2 & 1 \end{bmatrix} Find 1) AB 2) BA 3) (BA) C 4) (A
- An alpha plane is determined by 3 points in space. How to check if another point in space is on the left side of the plane or on the right side of it? For example if the plane is determined by points A(0,0,0), B(0,1,0) and C(0,0,1) then point X(-1,0,0) is
- If ab = 12, bc = 7, and ac = 19, what must be true for points a,b and c?
- Find the product: (3x - 2)(2x + 5).
- If 9876^2 = 97,535,376. Find the value of 9877^2 and (9874)(9878) without using a calculator.

Create an account to start this course today

Used by over 30 million students worldwide
Browse by subject

Upgrade to enroll

Upgrade to Premium to enroll in Math for Kids

Enrolling in a course lets you earn progress by passing quizzes and exams.

Track course progress

Take quizzes and exams

Earn certificates of completion

You will also be able to:

- Create a Goal
- Create custom courses
- Get your questions answered

Upgrade to **Premium** to add all these features to your account!

Upgrade Now
Upgrade to **Premium** to add all these features to your account!