How to Use Multiplication Models Rising Up to 1000s Place Values
Multiplication models are effective ways to visualize the process of multiplication, especially when working with large 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 Multiplication Models Rising Up to 1000s Place Values
Here’s how you can use multiplication models for numbers rising up to the 1000s place values using the Area Model Method.
Step 1: Break Down the Numbers into Their Place Values
Let’s say you want to multiply 1234 by 56. Break down 1234 into 1000 (1 thousand), 200 (2 hundreds), 30 (3 tens), and 4 (4 ones). Break down 56 into 50 (5 tens) and 6 (6 ones).
The Absolute Best Book for 4th Grade Students
Step 2: Draw the Area Model
Draw a large rectangle and then divide it into eight smaller rectangles because we have eight parts from the numbers we’re multiplying (4 from 1234 and 2 from 56).
Step 3: Label the Area Model
Write the components of 1234 (1000, 200, 30, 4) along the top of the rectangle. Write the components of 56 (50, 6) along the side of the rectangle.
A Perfect Book for Grade 4 Math Word Problems!
Step 4: Fill in the Area Model
Multiply each component of 1234 by each component of 56, and write the product in the corresponding rectangle:
- 1000 x 50 = 50,000
- 1000 x 6 = 6,000
- 200 x 50 = 10,000
- 200 x 6 = 1,200
- 30 x 50 = 1,500
- 30 x 6 = 180
- 4 x 50 = 200
- 4 x 6 = 24
Step 5: Add up the Products
Add up all the products to find the result of(1234 x 5):
\(50,000 + 6,000 + 10,000 + 1,200 + 1,500 + 180 + 200 + 24 = 69,104\)
So, \(1234 x 56 = 69,104\). This method helps to break down the problem into smaller, more manageable parts and provides a visual representation of what’s happening when you multiply larger numbers.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- Fraction Wizardry: How to Multiply Fractions and Whole Numbers
- Gain Access to the Answers: Explore the Solution Manual for “CHSPE Math for Beginners”
- Using Number Lines to Add Two Integers with Different Signs
- Top 10 7th Grade Common Core Math Practice Questions
- 5th Grade OST Math Worksheets: FREE & Printable
- Top 10 Free Websites for TSI Math Preparation
- How to Motivate Anyone to Start Learning Algebra and Geometry
- Parent Functions
- Math Assessment Test for College
- 5th Grade AZMerit Math Worksheets: FREE & Printable
What people say about "How to Use Multiplication Models Rising Up to 1000s Place Values - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.