[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-484836-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-484836-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","multiplying-with-partial-products-break-apart-the-two-digit-factor","Multiplying With Partial Products - Break apart the two-digit factor","","Multiplying With Partial Products is a practice worksheet focused on multiplying two-digit numbers by breaking the problem into partial products using place value. Students split each two-digit factor into tens and ones, compute partial products, and then add them to get the final product. An answer key provides worked examples such as 2×33, 6×99, 8×21, 9×25, and other listed problems, showing the tens-based and ones-based calculations that sum to the final results.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/multiplying-with-partial-products-break-apart-the-two-digit-factor/484836/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/multiplying-with-partial-products-break-apart-the-two-digit-factor/484836.png","ImageObject",300,407,{"name":42,"@type":43},"nayy☆","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does “break apart the two-digit factor” mean in these problems?","Question",{"text":63,"@type":64},"It means split the two-digit number into tens and ones, then multiply separately for each part.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do partial products help you find the final multiplication result?",{"text":68,"@type":64},"Compute the product of the first factor with the tens part and with the ones part, then add the partial products together.",{"name":70,"@type":61,"acceptedAnswer":71},"Are the problems based on tens and ones place value?",{"text":72,"@type":64},"Yes. The answer key examples show calculations like (a×30)+(a×3) and similar decompositions for each two-digit factor.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},484836,1790818554,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110,"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) 2 × 33 =   2) 6 × 99 =  \u003Cbr>3) 8 × 21 =   4) 9 × 25 =  \u003Cbr>5) 3 × 92 =   6) 9 × 58 =  \u003Cbr>7) 3 × 83 =   8) 5 × 46 =  \u003Cbr>9) 4 × 89 =   10) 6 × 71 =   |  |  |  | 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 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \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>66 |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 2 × 33 =  66 (2 × 30) + (2 × 3)\u003Cbr>(60) + (6) 66 | 2) 6 × 99 =  594 (6 × 90) + (6 × 9)\u003Cbr>(540) + (54) 594 |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 594 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 168 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 225 |  |  |  |  |\n| 3) 8 × 21 =  168 (8 × 20) + (8 × 1)\u003Cbr>(160) + (8) 168\u003Cbr>5) 3 × 92 =  276 (3 × 90) + (3 × 2)\u003Cbr>(270) + (6) 276\u003Cbr>7) 3 × 83 =  249 (3 × 80) + (3 × 3)\u003Cbr>(240) + (9) 249\u003Cbr>9) 4 × 89 =  356 (4 × 80) + (4 × 9)\u003Cbr>(320) + (36) 356 | 4) 9 × 25 =  225 (9 × 20) + (9 × 5)\u003Cbr>(180) + (45) 225\u003Cbr>6) 9 × 58 =  522 (9 × 50) + (9 × 8)\u003Cbr>(450) + (72) 522\u003Cbr>8) 5 × 46 =  230 (5 × 40) + (5 × 6)\u003Cbr>(200) + (30) 230\u003Cbr>10) 6 × 71 =  426 (6 × 70) + (6 × 1)\u003Cbr>(420) + (6) 426 |  |  |  |  |  |  | 276 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 522 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 249 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 230 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 356 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 426 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nMultiplying With Partial Products  \nName:  \n\n| Break apart the two-digit factor and find each partial product.\u003Cbr>1) 2 × 33 =   |  |  |  |  | 1. | Answers |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |\n| 2) | 6 | × | 99 | =\u003Cbr>| 2.\u003Cbr>3.\u003Cbr>4. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 3) | 8 | × | 21 | =\u003Cbr>| 5.\u003Cbr>6. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 4) | 9 | × | 25 | =\u003Cbr>| 7.\u003Cbr>8. |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 5) | 3 | × | 92 | =\u003Cbr>|  |  |\n| 6) | 9 | × | 58 | =\u003Cbr>|  |  |\n| 7) | 3 | × | 83 | =\u003Cbr>|  |  |\n| 8) | 5 | × | 46 | =\u003Cbr>|  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6  \n1-8  88  75  63  50  38  25  13  0","cbCaigmBHtyaTtT1","https://ap.wps.com/l/cbCaigmBHtyaTtT1","pdf",43591,"English","# Break apart factors\n## Find each partial product and sum","[{\"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 separately for each part.\"},{\"question\":\"How do partial products help you find the final multiplication result?\",\"answer\":\"Compute the product of the first factor with the tens part and with the ones part, then add the partial products together.\"},{\"question\":\"Are the problems based on tens and ones place value?\",\"answer\":\"Yes. The answer key examples show calculations like (a×30)+(a×3) and similar decompositions for each two-digit factor.\"}]","Multiplying With Partial Products - Break apart the two-digit factor | PDF",1790803154]