[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-484832-105":59,"doc-detail-484832-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-partial-products","Multiplying With Partial Products","","Multiplying With Partial Products is a math practice worksheet focused on multiplying two-digit numbers by breaking the two-digit factor into tens and ones. Students complete ten problems by rewriting each multiplication as a sum of two partial products, such as (a × tens) + (a × ones), then combining the results to find the total product. An answer key provides worked examples for selected items.",{"@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-partial-products/484832/",{"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-partial-products/484832.png","ImageObject",300,407,{"name":92,"@type":93},"nayy☆","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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 does “break apart the two-digit factor” mean in these problems?","Question",{"text":112,"@type":113},"It means split the two-digit number into tens and ones, then multiply each part separately to form partial products.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do partial products help you compute the full multiplication?",{"text":117,"@type":113},"You add the partial products from the tens part and the ones part to get the final product.",{"name":119,"@type":110,"acceptedAnswer":120},"Are answer explanations included for the problems?",{"text":121,"@type":113},"Yes. The provided answer key shows how selected multiplications are split into (number × tens) + (number × ones) and then combined.","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},484832,1792940918,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39,"preview_page_count":4},962090893153,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Multiplying With Partial Products  \nName:  \n\n| Break apart the two-digit factor and find each partial product.\u003Cbr>1) 3 × 57 =   2) 6 × 37 =  \u003Cbr>3) 2 × 72 =   4) 3 × 58 =  \u003Cbr>5) 2 × 98 =   6) 8 × 29 =  \u003Cbr>7) 9 × 57 =   8) 9 × 69 =  \u003Cbr>9) 4 × 71 =   10) 8 × 94 =   |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nMultiplying With Partial Products  \nName: Answer Key  \n\n| Break apart the two-digit factor and find each partial product. |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. |  |  | Answers\u003Cbr>171 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 3 × 57 =  171 (3 × 50) + (3 × 7)\u003Cbr>(150) + (21) 171\u003Cbr>3) 2 × 72 =  144 (2 × 70) + (2 × 2)\u003Cbr>(140) + (4) 144\u003Cbr>5) 2 × 98 =  196 (2 × 90) + (2 × 8)\u003Cbr>(180) + (16) 196\u003Cbr>7) 9 × 57 =  513 (9 × 50) + (9 × 7)\u003Cbr>(450) + (63) 513\u003Cbr>9) 4 × 71 =  284 (4 × 70) + (4 × 1)\u003Cbr>(280) + (4) 284 | 2) 6 × 37 =  222 (6 × 30) + (6 × 7)\u003Cbr>(180) + (42) 222\u003Cbr>4) 3 × 58 =  174 (3 × 50) + (3 × 8)\u003Cbr>(150) + (24) 174\u003Cbr>6) 8 × 29 =  232 (8 × 20) + (8 × 9)\u003Cbr>(160) + (72) 232\u003Cbr>8) 9 × 69 =  621 (9 × 60) + (9 × 9)\u003Cbr>(540) + (81) 621\u003Cbr>10) 8 × 94 =  752 (8 × 90) + (8 × 4)\u003Cbr>(720) + (32) 752 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 222 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 144 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 174 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 196 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 232 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 513 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 621 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 284 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 752 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nMultiplying With Partial Products  \nName:  \n\n| Break apart the two-digit factor and find each partial product.\u003Cbr>1) 3 × 57 =   |  |  |  |  | 1. | Answers |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |\n| 2) | 6 | × | 37 | =\u003Cbr>| 2.\u003Cbr>3.\u003Cbr>4. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 3) | 2 | × | 72 | =\u003Cbr>| 5.\u003Cbr>6. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 4) | 3 | × | 58 | =\u003Cbr>| 7.\u003Cbr>8. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 5) | 2 | × | 98 | =\u003Cbr>|  |  |\n| 6) | 8 | × | 29 | =\u003Cbr>|  |  |\n| 7) | 9 | × | 57 | =\u003Cbr>|  |  |\n| 8) | 9 | × | 69 | =\u003Cbr>|  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \n1-8  88  75  63  50  38  25  13  0","cbCaivDGLSfiR7EF","https://ap.wps.com/l/cbCaivDGLSfiR7EF","pdf",43464,"English","# Break Apart the Two-Digit Factor\n## Find Each Partial Product","[{\"question\":\"What does “break apart the two-digit factor” mean in these problems?\",\"answer\":\"It means split the two-digit number into tens and ones, then multiply each part separately to form partial products.\"},{\"question\":\"How do partial products help you compute the full multiplication?\",\"answer\":\"You add the partial products from the tens part and the ones part to get the final product.\"},{\"question\":\"Are answer explanations included for the problems?\",\"answer\":\"Yes. The provided answer key shows how selected multiplications are split into (number × tens) + (number × ones) and then combined.\"}]","Multiplying With Partial Products | PDF",1790803146]