How to Use Area Models to Divide Three-digit Numbers By One-digit Numbers
[include_netrun_products_block from-products="product/6-virginia-sol-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{{url}}/?ajax-add-to-cart={{id}}" product-item-button-custom-url-if-not-salable="{{productUrl}} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
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. For education statistics and research, visit the National Center for Education Statistics.
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. For education statistics and research, visit the National Center for Education Statistics.
Step 11: Write down the division steps
\(348÷4=87\). Each section represents one unit, so the quotient is 87. For education statistics and research, visit the National Center for Education Statistics.
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. For education statistics and research, visit the National Center for Education Statistics.
The Best Math Books for Elementary Students For education statistics and research, visit the National Center for Education Statistics.
Related to This Article
More math articles
- How to Do Scaling by Fractions and Mixed Numbers?
- The Ultimate 7th Grade MAAP Math Course (+FREE Worksheets)
- Top 10 CHSPE Math Prep Books (Our 2023 Favorite Picks)
- Why Most Players Misuse Poker Calculators (and How to Get It Right)
- 5 Of the Best Scientific Calculators
- Visualizing Multiplication: How to Use Arrays to Multiply Fractions by Whole Numbers
- Best Desktop Computers For Online Math Teachers
- Real-Life Math Problem With Credit Card Utilization
- How to Multiply and Divide Fractions? (+FREE Worksheet!)
- How to Solve Absolute Values and Opposites of Rational Numbers?
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.