How to Use Area Models to Divide Three-digit Numbers By One-digit Numbers
Using area models to divide three-digit numbers by one-digit numbers can help students visualize and understand the division process.
A Step-by-step Guide to Using Area Models to Divide Three-digit Numbers Via One-digit Numbers
Here’s a step-by-step guide to using area models to divide three-digit numbers by one-digit numbers:
Step 1: Choose a three-digit dividend and a one-digit divisor.
For example, let’s use 348 divided by 4.
The Absolute Best Book for 4th Grade Students
Step 2: Draw a large rectangle to represent the dividend on a piece of paper.
Divide this rectangle into three vertical sections to represent the hundreds, tens, and ones places.
Step 3: Label each section with the corresponding place value.
In this case, the hundreds section is 300, the tens section is 40, and the ones section is 8.
Step 4: Focus on the hundreds section (300).
Divide this section into four equal parts vertically by drawing three vertical lines to split it.
Step 5: Each part represents 100 ÷ 4 = 25.
Write “25” in each of the four sections within the hundreds area.
Step 6: Move to the tens section (40).
Divide this section into four equal parts vertically by drawing three vertical lines.
Step 7: Each part represents 10 ÷ 4 = 2.5.
Since we cannot have half of a section in this model, split two of the sections in half to visually represent 2 each, and leave the remaining two sections as they are.
A Perfect Book for Grade 4 Math Word Problems!
Step 8: Move to the ones section (8).
Divide this section into four equal parts vertically by drawing three vertical lines.
Step 9: Each part represents 1 ÷ 4 = 0.25.
Since we cannot accurately represent 0.25 visually in this model, leave the ones section as a whole without splitting it further.
Step 10: Count the total number of sections in the hundreds, tens, and ones areas.
In this case, there are 25 sections in the hundreds area, 10 sections in the tens area, and 2 sections in the ones area.
Step 11: Write down the division steps
\(348÷4=87\). Each section represents one unit, so the quotient is 87.
Using area models helps students visualize the division process and understand how a three-digit number is divided by a one-digit number. It allows them to see the relationship between place values and the concept of division.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- TABE Math FREE Sample Practice Questions
- 3rd Grade ISASP Math Worksheets: FREE & Printable
- Mastering the Basics: The Significance of “Algebra I for Beginners” in Your Back-to-School List
- Full-Length PSAT 10 Math Practice Test
- The Secret Decoder Ring of Proportional Relationships: How to Find The Constant of Proportionality
- SSAT Lower Level Math FREE Sample Practice Questions
- Mastering Exponential Growth And Decay: A Comprehensive Guide
- Ratio, Proportion and Percentages Puzzle – Challenge 29
- How is the TASC Test Scored?
- Top Math Websites for Online Classes
What people say about "How to Use Area Models to Divide Three-digit Numbers By One-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.