[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-484811-105":59,"doc-detail-484811-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","","Worksheet focused on solving multiplication problems using area models. Students decompose two-digit factors into tens and ones, compute partial products for each region, and then add them to obtain the final product. Problems shown include pairs such as 8×31, 5×86, 7×22, 5×59, 3×36, 9×75, 3×24, 5×68, 8×59, and 4×79. An answer key provides the complete set of results for checking 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does an area model help with multiplication?","Question",{"text":112,"@type":113},"It splits each factor into tens and ones, forms rectangles for each part, and uses partial products from each region before adding them together.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What steps are used to solve the problems in this worksheet?",{"text":117,"@type":113},"Decompose the numbers, multiply tens parts and ones parts to get partial products, then add the partial products to find the total.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students check their final answers?",{"text":121,"@type":113},"The document includes an answer key listing the final products for problems 1 through 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× 1 partial\u003Cbr>3) 3 × 36 =  \u003Cbr>30 6\u003Cbr>3\u003Cbr>3 × 30 partial product 3 × 6 partial\u003Cbr>5) 9 × 75 =  \u003Cbr>70 5\u003Cbr>9\u003Cbr>9 × 70 partial product 9 × 5 partial\u003Cbr>7) 3 × 24 =  \u003Cbr>20 4\u003Cbr>3\u003Cbr>3 × 20 partial product 3 × 4 partial\u003Cbr>9) 8 × 59 =  \u003Cbr>50 9\u003Cbr>8\u003Cbr>8 × 50 partial product 8 × 9 partial | 2) 5 × 86 =  \u003Cbr>80 6\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 6 partial\u003Cbr>4) 7 × 22 =  \u003Cbr>20 2\u003Cbr>7\u003Cbr>7 × 20 partial product 7 × 2 partial\u003Cbr>6) 5 × 59 =  \u003Cbr>50 9\u003Cbr>5\u003Cbr>5 × 50 partial product 5 × 9 partial\u003Cbr>8) 5 × 68 =  \u003Cbr>60 8\u003Cbr>5\u003Cbr>5 × 60 partial product 5 × 8 partial\u003Cbr>10) 4 × 79 =  \u003Cbr>70 9\u003Cbr>4\u003Cbr>4 × 70 partial product 4 × 9 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 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \nMultiplying With Area Models  \nName: Answer Key  \n\n| Use each area model to find the product.\u003Cbr>1) 8 × 31 =  \u003Cbr>30 1\u003Cbr>8\u003Cbr>8 × 30 partial product 8 × 1 partial\u003Cbr>3) 3 × 36 =  \u003Cbr>30 6\u003Cbr>3\u003Cbr>3 × 30 partial product 3 × 6 partial\u003Cbr>5) 9 × 75 =  \u003Cbr>70 5\u003Cbr>9\u003Cbr>9 × 70 partial product 9 × 5 partial\u003Cbr>7) 3 × 24 =  \u003Cbr>20 4\u003Cbr>3\u003Cbr>3 × 20 partial product 3 × 4 partial\u003Cbr>9) 8 × 59 =  \u003Cbr>50 9\u003Cbr>8\u003Cbr>8 × 50 partial product 8 × 9 partial | 2) 5 × 86 =  \u003Cbr>80 6\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 6 partial\u003Cbr>4) 7 × 22 =  \u003Cbr>20 2\u003Cbr>7\u003Cbr>7 × 20 partial product 7 × 2 partial\u003Cbr>6) 5 × 59 =  \u003Cbr>50 9\u003Cbr>5\u003Cbr>5 × 50 partial product 5 × 9 partial\u003Cbr>8) 5 × 68 =  \u003Cbr>60 8\u003Cbr>5\u003Cbr>5 × 60 partial product 5 × 8 partial\u003Cbr>10) 4 × 79 =  \u003Cbr>70 9\u003Cbr>4\u003Cbr>4 × 70 partial product 4 × 9 partial | Answers |\n| --- | --- | --- |\n|  |  | 1.  248 \u003Cbr>2.  430 \u003Cbr>3.  108 \u003Cbr>4.  154 \u003Cbr>5.  675 \u003Cbr>6.  295 \u003Cbr>7.  72 \u003Cbr>8.  340 \u003Cbr>9.  472 \u003Cbr>10.  316  |\n\n[Math](Math www.CommonCoreSheets.com 8 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8 1-10)[ 8](Math www.CommonCoreSheets.com 8 1-10)[ 1-10](Math www.CommonCoreSheets.com 8 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) 8 × 31 =  \u003Cbr>30 1\u003Cbr>8\u003Cbr>8 × 30 partial product 8 × 1 partial\u003Cbr>3) 3 × 36 =  \u003Cbr>30 6\u003Cbr>3\u003Cbr>3 × 30 partial product 3 × 6 partial | 2) 5 × 86 =  \u003Cbr>80 6\u003Cbr>5\u003Cbr>5 × 80 partial product 5 × 6 partial\u003Cbr>4) 7 × 22 =  \u003Cbr>20 2\u003Cbr>7\u003Cbr>7 × 20 partial product 7 × 2 partial | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |\n| --- | --- | --- |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-4 75 50 25  \n\n|  |  |  | 0 |\n| --- | --- | --- | --- |","cbCaitevdgcKcYlI","https://ap.wps.com/l/cbCaitevdgcKcYlI","pdf",79416,"English","# Use Each Area Model to Find the Product\n## Practice Problems 1–10\n## Answers","[{\"question\":\"How does an area model help with multiplication?\",\"answer\":\"It splits each factor into tens and ones, forms rectangles for each part, and uses partial products from each region before adding them together.\"},{\"question\":\"What steps are used to solve the problems in this worksheet?\",\"answer\":\"Decompose the numbers, multiply tens parts and ones parts to get partial products, then add the partial products to find the total.\"},{\"question\":\"Where can students check their final answers?\",\"answer\":\"The document includes an answer key listing the final products for problems 1 through 10.\"}]","Multiplying With Area Models | PDF",1790803112]