[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480812-105":59,"doc-detail-480812-en":122},{"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":115,"head_meta":117,"extra_data":119,"updated_unix":121},105,"en","using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key","","Worksheet answer key for practicing the distributive property with decimals and mixed numbers. Each problem rewrites a multiplication expression by breaking the multiplier into addends (e.g., whole-number plus decimal parts or fractional parts) and then fills the blanks to complete the equivalent multiplication sum. The provided solutions show the separated products and the final computed answers for all listed items.",{"@graph":69,"@context":114},[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/using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key/480812/",{"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/using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key/480812.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"Are the answers included for all listed problems?","Question",{"text":112,"@type":113},"Yes. The document includes an answer key section listing the final answers for each numbered problem.","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},480812,1792854662,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"read_time":39},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Using the Distributive Property with Decimals and Mixed Numbers Name:  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 3 × 72⁄ 3 = (3 ×  ) + (3 ×~~ ~~3~~ ~~) =  +   = \u003Cbr>2) 7 × 6.3 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>3) 3 × 4.1 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>4) 8 × 93⁄ 4 = (8 ×  ) + (8 ×~~ ~~4~~ ~~) =  +   =  5) 9 × 6.1 = (9 ×  ) + (9 ×  ) =  +   = \u003Cbr>6) 12 × 35⁄ 6 = (12 ×   ) + (12 ×~~ ~~6~~ ~~) =+ =  7) 8 × 5.9 = (8 ×  ) + (8 ×  ) =  +   = \u003Cbr>8) 2 × 71⁄ 2 = (2 ×  ) + (2 ×~~ ~~2~~ ~~) =  +   =  9) 3 × 5.3 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>10) 12 × 21⁄ 3 = (12 ×   ) + (12 ×~~ ~~3~~ ~~) =+ =  11) 8 × 51⁄ 4 = (8 ×  ) + (8 ×~~ ~~4~~ ~~) =  +   = \u003Cbr>12) 9 × 8.6 = (9 ×  ) + (9 ×  ) =  +   =  | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nUsing the Distributive Property with Decimals and Mixed Numbers Name: Answer Key  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 3 × 72⁄ 3 = (3 × 7 ) + (3 ×~~ ~~23~~ ~~) = 21 + 2 = 23  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  23  |  |  |  |\n| 2) | 7 × 6.3 = (7 × 6 ) + (7 × 0.3 ) = 42 + 2.1 = 44.1  |  |  |  |  |  |  |  |  | 2.  44.1 \u003Cbr>3.  12.3  |  |  |  |\n| 3) | 3 × 4.1 = (3 × 4 ) + (3 × 0.1 ) = 12 + 0.3 = 12.3  |  |  |  |  |  |  |  |  | 4.  78  |  |  |  |\n| 4) | 8 × 93⁄ 4 = (8 × 9 ) + (8 ×~~ ~~34~~ ~~) = 72 + 6 = 78  |  |  |  |  |  |  |  |  | 5.  54.9 \u003Cbr>6.  46  |  |  |  |\n| 5) | 9 × 6.1 = (9 × 6 ) + (9 × 0.1 ) = 54 + 0.9 = 54.9  |  |  |  |  |  |  |  |  | 7.  47.2 \u003Cbr>8.  15  |  |  |  |\n| 6) | 12 × 35⁄ 6 = (12 × 3 ) + (12 ×~~ ~~56~~ ~~) = 36 + 10 = 46  |  |  |  |  |  |  |  |  | 9.  15.9  |  |  |  |\n| 7) | 8 × 5.9 = (8 × 5 ) + (8 × 0.9 ) = 40 + 7.2 = 47.2  |  |  |  |  |  |  |  |  | 10.  28 \u003Cbr>11.  42  |  |  |  |\n| 8) | 2 × 71⁄ 2 = (2 × 7 ) + (2 ×~~ ~~12~~ ~~) = 14 + 1 = 15  |  |  |  |  |  |  |  |  | 12.  77.4  |  |  |  |\n| 9) | 3 × 5.3 = (3 × 5 ) + (3 × 0.3 ) = 15 + 0.9 = 15.9  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 12 × 21⁄ 3 = (12 × 2 ) + (12 ×~~ ~~13~~ ~~) = 24 + 4 = 28  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 8 × 51⁄ 4 = (8 × 5 ) + (8 ×~~ ~~14~~ ~~) = 40 + 2 = 42  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 9 × 8.6 = (9 × 8 ) + (9 × 0.6 ) = 72 + 5.4 = 77.4  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nUsing the Distributive Property with Decimals and Mixed Numbers Name:  \n\n| Break apart each number and fill in the blanks to solve.\u003Cbr>1) 3 × 72⁄ 3 = (3 ×   ) + (3 ×~~ ~~3~~ ~~) =  +  = \u003Cbr>2) 7 × 6.3 = (7 ×  ) + (7 ×   ) =+ = \u003Cbr>3) 3 × 4.1 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>4) 8 × 93⁄ 4 = (8 ×   ) + (8 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>5) 9 × 6.1 = (9 ×  ) + (9 ×   ) =+ = \u003Cbr>6) 12 × 35⁄ 6 = (12 ×  ) + (12 ×~~ ~~6~~ ~~) =+ = \u003Cbr>7) 8 × 5.9 = (8 ×  ) + (8 ×   ) =+ = \u003Cbr>8) 2 × 71⁄ 2 = (2 ×   ) + (2 ×~~ ~~2~~ ~~) =  +  =  |  |  |  |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |\n| 1-8 | 88 | 75 | 63 | 50 |  | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9","cbCaillozmZYShC3","https://ap.wps.com/l/cbCaillozmZYShC3","pdf",46490,"English","# Problems\n## Distributive property with decimals and mixed numbers\n## Filled blanks and final answers","[{\"question\":\"Are the answers included for all listed problems?\",\"answer\":\"Yes. The document includes an answer key section listing the final answers for each numbered problem.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key | PDF",1790795634]