How to Use Box Multiplication Method
The Box Multiplication Method, also known as the Area Model, is a method to multiply large numbers visually. This can be particularly helpful in understanding multiplication conceptually, especially for those who are visual learners. It's also a common tool used in teaching the Common Core method of mathematics.
A Step-by-step Guide to Using Box Multiplication Method
Here’s a step-by-step guide to using the Box Multiplication Method:
Let’s say we want to multiply 23 by 45.
The Absolute Best Book for 4th Grade Students
Step 1: Draw a box
Start by drawing a large rectangle or box on your paper. Then divide this box into four smaller boxes by drawing one vertical line and one horizontal line.
Step 2: Label the boxes
Write the first number (23) on the top of the box, splitting the digits above the vertical lines. So, you will write ‘2’ above the left-hand box and ‘3’ above the right-hand box.
Do the same with the second number (45) on the side of the box, writing ‘4’ next to the top box and ‘5’ next to the bottom box.
Step 3: Multiply and fill in the boxes
Now, you’ll multiply the numbers corresponding to each box and fill in the box with the result. The top left box will be the multiplication of ‘2’ (from 23) and ‘4’ (from 45), which equals 8. The top right box will be the multiplication of ‘3’ (from 23) and ‘4’ (from 45), which equals 12.
The bottom left box will be the multiplication of ‘2’ (from 23) and ‘5’ (from 45), which equals 10. The bottom right box will be the multiplication of ‘3’ (from 23) and ‘5’ (from 45), which equals 15.
A Perfect Book for Grade 4 Math Word Problems!
Step 4: Add the results
Finally, add all the results from the boxes together. This will give you the answer to the multiplication problem. In this case, 8 + 12 + 10 + 15 = 45.
Step 5: Adjust for place value
Remember that the numbers above and to the side of the box represent tens and ones. So the number in the top left box really represents 80 (8 tens), and the number in the bottom left box represents 100 (10 tens).
So, the final calculation should be 80 (from the top left box) + 120 (from the top right box) + 100 (from the bottom left box) + 15 (from the bottom right box) = 1035.
So, 23 multiplied by 45 equals 1035.
This method can be expanded to multiply numbers of any size, including decimals and fractions. It’s a great way to understand the principles of multiplication and the concept of place value.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- 3rd Grade MAP Math Worksheets: FREE & Printable
- How to Determine Indeterminate Form and Vague Limits
- How to Apply Integers Multiplication and Division Rules?
- Calculus: Navigating the Pathways of Particles
- Understanding Trigonometry: How to Calculate the Area of Triangles
- How to Represente Proportional Relationships with Equations
- How to Add and Subtract Mixed Time Units
- Write a Ratio
- The Ultimate SHSAT Math Formula Cheat Sheet
- What Is a Polynomial?
What people say about "How to Use Box Multiplication Method - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.