[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-357059-105":59,"doc-detail-357059-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","area-models-find-the-product-directions-use-the-area-model-for-each-problem-to-find-the-product","Area Models - Find the Product Directions - Use the area model for each problem to find the product","","Practice multiplying multi-digit numbers using area models to break each factor into tens and ones (or other expanded parts). The worksheet guides students through Part A warm-up problems, Part B area model tasks with four-part decomposition, and Part C challenge products that require creating and showing area models. Part D applies the method to a word problem about ordering marker boxes, then provides a complete answer key with partial products and totals.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/area-models-find-the-product-directions-use-the-area-model-for-each-problem-to-find-the-product/357059/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/area-models-find-the-product-directions-use-the-area-model-for-each-problem-to-find-the-product/357059.png","ImageObject",300,407,{"name":92,"@type":93},"Himbo","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you use the area model to find the product?","Question",{"text":112,"@type":113},"Split each number into parts (such as tens and ones), multiply each part combination, then add the partial products to get the total.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is included in the warm-up section?",{"text":117,"@type":113},"Part A contains two-part area model multiplication problems that practice tens and ones decomposition and totals.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the word problem in Part D solved using an area model?",{"text":121,"@type":113},"Multiply the number of boxes by markers per box using partial products from the area model, then add to get the total markers.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},357059,1790487384,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},687197100911,"https://ap-avatar.wpscdn.com/avatar/a000239b6f1da00475?x-image-process=image/resize,m_fixed,w_180,h_180&k=1785132997149421697","Name:    \nArea Models – Find the Product Directions: Use the area model for each problem to find the product. Multiply each part, then add the partial products.  \nPart A—Warm-Up (Two Parts)  \n1.) 23 × 4 Tens part: 20 × 4 =  \n20 3    \n\n|  | 4 |  | Ones part: 3 × 4 =  \u003Cbr>Total:   |\n| --- | --- | --- | --- |\n| 2.) | 31 × 5\u003Cbr>30 1\u003Cbr>5 |  | Tens part: 30 × 5 =\u003Cbr>Ones part: 1 × 5 =  \u003Cbr>Total:   |\n| 3.) | 46 × 3\u003Cbr> |  | Tens part: 40 × 3 =\u003Cbr>Ones part: 6 × 3 =  \u003Cbr>Total:   |\n| 4.) | 26 × 6\u003Cbr> |  | Total:   |\n\n1  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nPart B—Area Models (4 Parts)  \n\n| 5.) | 34 × 12\u003Cbr>30 4\u003Cbr>10\u003Cbr>2\u003Cbr> | 30 × 10 =  \u003Cbr>30 × 2 =  \u003Cbr>4 × 10 =  \u003Cbr>4 × 2 =   Total:   |\n| --- | --- | --- |\n| 6.) | 25 × 13\u003Cbr>20 5\u003Cbr>10\u003Cbr>3\u003Cbr> | 20 × 10 =  \u003Cbr>20 × 3 =  \u003Cbr>5 × 10 =  \u003Cbr>5 × 3 =   Total:   |\n| 7.) | 42 × 11\u003Cbr> | 40 × 10 =  \u003Cbr>40 × 1 =  \u003Cbr>2 × 10 =  \u003Cbr>2 × 1 =   Total:   |\n| 8.) | 16 × 14\u003Cbr> | Total:   |\n\n2  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nPart C—Challenge Problems  \nDirections: Use the given box to create your own area model to find each product. Show your work.  \n9. 37 × 15 =  \n_____  \n10. 48 × 12 = _____  \nPart D—Challenge Problem (Show Your Thinking)  \n11. A school orders 24 boxes of markers. Each box has 16 markers. Use an area model to find the total number of markers.  \nWork (partial products):  \n20 × 10 =    \n20 × 6 =    \n4 × 10 =    \n4 × 6 =    \nTotal markers:    \nMashup Math LLC | All Rights Reserved  \n| [Get More K-12 Math Worksheets at ](Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](Get More K-12 Math Worksheets at www.mashupmath.com)  \n3  \nAnswer Key  \nPart A—Warm-Up (Two Parts)  \n1. 23 × 4  \n• 20 × 4 = 80  \n• 3 × 4 = 12  \n• Total = 92  \n2. 31 × 5  \n• 30 × 5 = 150  \n• 1 × 5 = 5  \n• Total = 155  \n3. 46 × 3  \n• 40 × 3 = 120  \n• 6 × 3 = 18  \n• Total = 138  \n4. 26 × 6  \n• Tens part: 20 × 6 = 120 • Ones part: 6 × 6 = 36  \n• Total = 156  \n\n| Part B—Area Models (4 Parts) |  |\n| --- | --- |\n| 5) 34 × 12 | 7. 42 × 11 |\n| • 30 × 10 = 300 |  |\n| • 30 × 2 = 60 | • 40 × 10 = 400 |\n| • 4 × 10 = 40 | • 40 × 1 = 40 |\n| • 4 × 2 = 8 | • 2 × 10 = 20 |\n| • Total = 408 | • 2 × 1 = 2\u003Cbr>• Total = 462 |\n| 6. 25 × 13 | 8. 16 × 14 |\n| • 20 × 10 = 200 |  |\n| • 20 × 3 = 60 | • 10 × 10 = 100 |\n| • 5 × 10 = 50 | • 10 × 4 = 40 |\n| • 5 × 3 = 15 | • 6 × 10 = 60 |\n| • Total = 325 | • 6 × 4 = 24\u003Cbr>• Total = 224 |\n| \u003Cbr>Part C—Challenge Problems 9) 37 × 15 = 555 | 10) 48 × 12 = 576\u003Cbr>|\n| Part D—Challenge Problem (Show Your Thinking)\u003Cbr>11) 24 boxes × 16 markers = 384\u003Cbr>• 20 × 10 = 200\u003Cbr>• 20 × 6 = 120\u003Cbr>• 4 × 10 = 40\u003Cbr>• 4 × 6 = 24\u003Cbr>• Total markers = 384\u003Cbr>4\u003Cbr>Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) |  |","cbCaiamNzXiEAfuG","https://ap.wps.com/l/cbCaiamNzXiEAfuG","pdf",1561706,"English","# Part A—Warm-Up (Two Parts)\n# Part B—Area Models (4 Parts)\n# Part C—Challenge Problems\n# Part D—Challenge Problem (Show Your Thinking)\n# Answer Key","[{\"question\":\"How do you use the area model to find the product?\",\"answer\":\"Split each number into parts (such as tens and ones), multiply each part combination, then add the partial products to get the total.\"},{\"question\":\"What is included in the warm-up section?\",\"answer\":\"Part A contains two-part area model multiplication problems that practice tens and ones decomposition and totals.\"},{\"question\":\"How is the word problem in Part D solved using an area model?\",\"answer\":\"Multiply the number of boxes by markers per box using partial products from the area model, then add to get the total markers.\"}]","Area Models - Find the Product Directions - Use the area model for each problem to find the product | PDF",1790128767]