[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-484808-105":59,"doc-detail-484808-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","multiplying-with-area-models","Multiplying With Area Models","","Worksheets focused on multiplying whole numbers using area models. Students apply the grid or partitioning method to decompose each factor into tens and ones (e.g., 5 × 85, 6 × 77, 7 × 79, 4 × 55, 6 × 61, 9 × 75, 6 × 68, 2 × 64, 7 × 17, 3 × 82), calculate partial products, and combine them to obtain the final product for each problem. Includes an answer key listing the results.",{"@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/multiplying-with-area-models/484808/",{"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/multiplying-with-area-models/484808.png","ImageObject",300,407,{"name":92,"@type":93},"nayy☆","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What method do you use to multiply the numbers in this worksheet?","Question",{"text":112,"@type":113},"Use the area model to split each factor into tens and ones, find partial products, and add them to get the final product.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are partial products found in the area model?",{"text":117,"@type":113},"Each rectangle is partitioned by place value (tens and ones). Multiply the corresponding parts (e.g., 5 × 80 and 5 × 5) to form partial products.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document include answers?",{"text":121,"@type":113},"Yes. 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 \u003Cbr>80 5\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 5 partial\u003Cbr>3) 7 × 79 =  \u003Cbr>70 9\u003Cbr>7\u003Cbr>7 × 70 partial product 7 × 9 partial\u003Cbr>5) 6 × 61 =  \u003Cbr>60 1\u003Cbr>6\u003Cbr>6 × 60 partial product 6 × 1 partial\u003Cbr>7) 6 × 68 =  \u003Cbr>60 8\u003Cbr>6\u003Cbr>6 × 60 partial product 6 × 8 partial\u003Cbr>9) 7 × 17 =  \u003Cbr>10 7\u003Cbr>7\u003Cbr>7 × 10 partial product 7 × 7 partial | 2) 6 × 77 =  \u003Cbr>70 7\u003Cbr>6\u003Cbr>6 × 70 partial product 6 × 7 partial\u003Cbr>4) 4 × 55 =  \u003Cbr>50 5\u003Cbr>4\u003Cbr>4 × 50 partial product 4 × 5 partial\u003Cbr>6) 9 × 75 =  \u003Cbr>70 5\u003Cbr>9\u003Cbr>9 × 70 partial product 9 × 5 partial\u003Cbr>8) 2 × 64 =  \u003Cbr>60 4\u003Cbr>2\u003Cbr>2 × 60 partial product 2 × 4 partial\u003Cbr>10) 3 × 82 =  \u003Cbr>80 2\u003Cbr>3\u003Cbr>3 × 80 partial product 3 × 2 partial |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nMultiplying With Area Models  \nName: Answer Key  \n\n| Use each area model to find the product.\u003Cbr>1) 5 × 85 =  \u003Cbr>80 5\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 5 partial\u003Cbr>3) 7 × 79 =  \u003Cbr>70 9\u003Cbr>7\u003Cbr>7 × 70 partial product 7 × 9 partial\u003Cbr>5) 6 × 61 =  \u003Cbr>60 1\u003Cbr>6\u003Cbr>6 × 60 partial product 6 × 1 partial\u003Cbr>7) 6 × 68 =  \u003Cbr>60 8\u003Cbr>6\u003Cbr>6 × 60 partial product 6 × 8 partial\u003Cbr>9) 7 × 17 =  \u003Cbr>10 7\u003Cbr>7\u003Cbr>7 × 10 partial product 7 × 7 partial | 2) 6 × 77 =  \u003Cbr>70 7\u003Cbr>6\u003Cbr>6 × 70 partial product 6 × 7 partial\u003Cbr>4) 4 × 55 =  \u003Cbr>50 5\u003Cbr>4\u003Cbr>4 × 50 partial product 4 × 5 partial\u003Cbr>6) 9 × 75 =  \u003Cbr>70 5\u003Cbr>9\u003Cbr>9 × 70 partial product 9 × 5 partial\u003Cbr>8) 2 × 64 =  \u003Cbr>60 4\u003Cbr>2\u003Cbr>2 × 60 partial product 2 × 4 partial\u003Cbr>10) 3 × 82 =  \u003Cbr>80 2\u003Cbr>3\u003Cbr>3 × 80 partial product 3 × 2 partial | Answers |\n| --- | --- | --- |\n|  |  | 1.  425 \u003Cbr>2.  462 \u003Cbr>3.  553 \u003Cbr>4.  220 \u003Cbr>5.  366 \u003Cbr>6.  675 \u003Cbr>7.  408 \u003Cbr>8.  128 \u003Cbr>9.  119 \u003Cbr>10.  246  |\n\n[Math](Math www.CommonCoreSheets.com 7 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7 1-10)[ 7](Math www.CommonCoreSheets.com 7 1-10)[ 1-10](Math www.CommonCoreSheets.com 7 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nMultiplying With Area Models  \nName:  \n\n| Use each area model to find the product.\u003Cbr>1) 5 × 85 =  \u003Cbr>80 5\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 5 partial\u003Cbr>3) 7 × 79 =  \u003Cbr>70 9\u003Cbr>7\u003Cbr>7 × 70 partial product 7 × 9 partial | 2) 6 × 77 =  \u003Cbr>70 7\u003Cbr>6\u003Cbr>6 × 70 partial product 6 × 7 partial\u003Cbr>4) 4 × 55 =  \u003Cbr>50 5\u003Cbr>4\u003Cbr>4 × 50 partial product 4 × 5 partial | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |\n| --- | --- | --- |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-4 75 50 25  \n\n|  |  |  | 0 |\n| --- | --- | --- | --- |","cbCaiuBkoGLAx01e","https://ap.wps.com/l/cbCaiuBkoGLAx01e","pdf",79390,"English","# Use each area model to find the product\n## Problem set (1-10)\n## Answers","[{\"question\":\"What method do you use to multiply the numbers in this worksheet?\",\"answer\":\"Use the area model to split each factor into tens and ones, find partial products, and add them to get the final product.\"},{\"question\":\"How are partial products found in the area model?\",\"answer\":\"Each rectangle is partitioned by place value (tens and ones). Multiply the corresponding parts (e.g., 5 × 80 and 5 × 5) to form partial products.\"},{\"question\":\"Does the document include answers?\",\"answer\":\"Yes. An answer key provides the final products for the 10 problems.\"}]","Multiplying With Area Models | PDF",1790803109]