[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480819-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-480819-en":131},{"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","using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key-480819","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key","","Answer key for a math practice worksheet on the distributive property applied to decimals and mixed numbers. It provides worked decompositions for multiple multiplication problems by breaking factors into whole-number and fractional/decimal parts, then combining partial products. The listed solutions show how each blank expression is evaluated and verified for accuracy. The set covers products involving tenths, hundredths, and fractions converted through distributive multiplication.",{"@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/using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key-480819/480819/",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/using-the-distributive-property-with-decimals-and-mixed-numbers-answer-key-480819/480819.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","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",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What skill does this worksheet practice?","Question",{"text":63,"@type":64},"It practices using the distributive property to rewrite and solve multiplication problems that include decimals and mixed numbers.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the numbers broken apart in the solutions?",{"text":68,"@type":64},"Each factor is split into parts (such as whole-number and decimal/fraction portions), then the multiplication is distributed across the parts and the products are added.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the document include final answers?",{"text":72,"@type":64},"Yes. The document provides an answer key showing the completed results for each listed problem.","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},480819,1790884211,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":111},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) 10 × 23⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ = \u003Cbr>2) 6 × 9.8 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>3) 10 × 37⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ =  4) 9 × 7.6 = (9 ×  ) + (9 ×  ) =  +   = \u003Cbr>5) 3 × 2.2 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>6) 12 × 85⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  7) 12 × 91⁄ 3 = (12 ×   ) + (12 ×~~ ~~3~~ ~~) =+ =  8) 5 × 4.8 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>9) 12 × 71⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  10) 6 × 5.8 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>11) 3 × 9.7 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>12) 5 × 72⁄ 5 = (5 ×  ) + (5 ×~~ ~~5~~ ~~) =  +   =  | 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)  \n6  \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) 10 × 23⁄ 10 = (10 × 2 ) + (10 ×~~ ~~130~~ ~~) = 20 + 3 = 23  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  23  |  |  |  |\n| 2) 6 × 9.8 = (6 × 9 ) + (6 × 0.8 ) = 54 + 4.8 = 58.8  |  |  |  |  |  |  |  |  |  | 2.  58.8 \u003Cbr>3.  37  |  |  |  |\n| 3) 10 × 37⁄ 10 = (10 × 3 ) + (10 ×~~ ~~170~~ ~~) = 30 + 7 = 37  |  |  |  |  |  |  |  |  |  | 4.  68.4  |  |  |  |\n| 4) 9 × 7.6 = (9 × 7 ) + (9 × 0.6 ) = 63 + 5.4 = 68.4  |  |  |  |  |  |  |  |  |  | 5.  6.6 \u003Cbr>6.  101  |  |  |  |\n| 5) 3 × 2.2 = (3 × 2 ) + (3 × 0.2 ) = 6 + 0.6 = 6.6  |  |  |  |  |  |  |  |  |  | 7.  112 \u003Cbr>8.  24  |  |  |  |\n| 6) 12 × 85⁄ 12 = (12 × 8 ) + (12 ×~~ ~~152~~ ~~) = 96 + 5 = 101  |  |  |  |  |  |  |  |  |  | 9.  85  |  |  |  |\n| 7) 12 × 91⁄ 3 = (12 × 9 ) + (12 ×~~ ~~13~~ ~~) = 108 + 4 = 112  |  |  |  |  |  |  |  |  |  | 10.  34.8 \u003Cbr>11.  29.1  |  |  |  |\n| 8) 5 × 4.8 = (5 × 4 ) + (5 × 0.8 ) = 20 + 4 = 24  |  |  |  |  |  |  |  |  |  | 12.  37  |  |  |  |\n| 9) 12 × 71⁄ 12 = (12 × 7 ) + (12 ×~~ ~~112~~ ~~) = 84 + 1 = 85  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) 6 × 5.8 = (6 × 5 ) + (6 × 0.8 ) = 30 + 4.8 = 34.8  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) 3 × 9.7 = (3 × 9 ) + (3 × 0.7 ) = 27 + 2.1 = 29.1  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) 5 × 72⁄ 5 = (5 × 7 ) + (5 ×~~ ~~25~~ ~~) = 35 + 2 = 37  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\n 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) 10 × 23⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ = \u003Cbr>2) 6 × 9.8 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>3) 10 × 37⁄ 10 = (10 ×  ) + (10 ×~~ ~~10~~ ~~) =+ = \u003Cbr>4) 9 × 7.6 = (9 ×  ) + (9 ×   ) =+ = \u003Cbr>5) 3 × 2.2 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>6) 12 × 85⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ = \u003Cbr>7) 12 × 91⁄ 3 = (12 ×  ) + (12 ×~~ ~~3~~ ~~) =+ = \u003Cbr>8) 5 × 4.8 = (5 ×  ) + (5 ×   ) =+ =  |  |  |  |  | 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)  \n6","cbCail0eCAwCJZVO","https://ap.wps.com/l/cbCail0eCAwCJZVO","pdf",46609,"English","# Problems\n## Distributive property with decimals and mixed numbers\n## Answers","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices using the distributive property to rewrite and solve multiplication problems that include decimals and mixed numbers.\"},{\"question\":\"How are the numbers broken apart in the solutions?\",\"answer\":\"Each factor is split into parts (such as whole-number and decimal/fraction portions), then the multiplication is distributed across the parts and the products are added.\"},{\"question\":\"Does the document include final answers?\",\"answer\":\"Yes. The document provides an answer key showing the completed results for each listed problem.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Answer Key | PDF",1790795649]