How to Use Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers
Partial products are another great strategy for simplifying multiplication problems, especially when multiplying one-digit numbers by multi-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 Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers
Here’s a step-by-step guide on how to use the partial products method to multiply one-digit numbers via multi-digit numbers:
Let’s use an example of 4 x 123.
Step 1: Break down the multi-digit number
First, you need to break down the multi-digit number into its place values. In this case, 123 becomes \(100+20+3\).
The Absolute Best Book for 4th Grade Students
Step 2: Multiply the single-digit number with each part of the multi-digit number
Now, you multiply the single-digit number (in this case, 4) with each part of the multi-digit number:
- \(4×100=400\)
- \(4×20=80\)
- \(4×3=12\)
A Perfect Book for Grade 4 Math Word Problems!
Step 3: Add the products
Finally, you add up all of these products to get the answer:
\(400+80+12=492\)
So, \(4×123=492\)
This method is called the Partial Products method because you are finding the product of parts of the multi-digit number (the “partial products”) and then adding them together. This method helps students understand the concept of multiplication and the importance of place value. It can be a great stepping stone before learning more traditional multiplication algorithms.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- Using Models to Represent Decimal Number Place Value
- 10 Most Common 3rd Grade ACT Aspire Math Questions
- How to Find Powers and Roots of Complex Numbers
- What Skills Do I Need for the ACT Math Test?
- What Is the Highest Score for SHSAT Test?
- 4th Grade MAP Math FREE Sample Practice Questions
- The Ultimate ASVAB Math Formula Cheat Sheet
- 10 Most Common 3rd Grade IAR Math Questions
- How to Use Benchmark Fraction? Benchmark Fraction Definition
- 10 Most Common 6th Grade SBAC Math Questions
What people say about "How to Use Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.