[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480818-105":59,"doc-detail-480818-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","using-the-distributive-property-with-decimals-and-mixed-numbers-break-apart-each-number-and-fill-in-the-blanks-to-solve","Using the Distributive Property with Decimals and Mixed Numbers - Break apart each number and fill in the blanks to solve","","Worksheets and an answer key focused on applying the distributive property to multiply decimals and mixed numbers. Problems require breaking each factor into whole number and decimal/fraction parts, then filling in missing products and sums to compute final values. Includes multiple multiplication items such as 3×3.3, 6×8.6, 4×2.8, and 12×9 1/4, with solutions provided to check each expanded step.",{"@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/using-the-distributive-property-with-decimals-and-mixed-numbers-break-apart-each-number-and-fill-in-the-blanks-to-solve/480818/",{"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-break-apart-each-number-and-fill-in-the-blanks-to-solve/480818.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":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the distributive property mean in these problems?","Question",{"text":112,"@type":113},"The worksheets require multiplying by splitting a number into parts (whole and fractional/decimal portions) and adding the resulting products to get the final answer.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you handle decimals and mixed numbers here?",{"text":117,"@type":113},"Rewrite decimals as whole plus fractional parts (e.g., 3.3 = 3 + 0.3) and mixed numbers as whole plus fractional parts (e.g., 9 1/4 = 9 + 1/4), then distribute.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can learners check their work?",{"text":121,"@type":113},"An answer key is included that provides each final value for the listed multiplication problems, allowing step results to be verified.","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},480818,1792875850,{"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":81,"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},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 × 3.3 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>2) 8 × 65⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   =  3) 6 × 8.6 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>4) 4 × 41⁄ 4 = (4 ×  ) + (4 ×~~ ~~4~~ ~~) =  +   =  5) 6 × 81⁄ 6 = (6 ×  ) + (6 ×~~ ~~6~~ ~~) =  +   =  6) 4 × 2.8 = (4 ×  ) + (4 ×  ) =  +   = \u003Cbr>7) 3 × 2.5 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>8) 12 × 91⁄ 4 = (12 ×   ) + (12 ×~~ ~~4~~ ~~) =+ =  9) 3 × 91⁄ 3 = (3 ×  ) + (3 ×~~ ~~3~~ ~~) =  +   = \u003Cbr>10) 7 × 6.3 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>11) 10 × 33⁄ 5 = (10 ×   ) + (10 ×~~ ~~5~~ ~~) =+ =  12) 9 × 8.7 = (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)  \n4  \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 × 3.3 = (3 × 3 ) + (3 × 0.3 ) = 9 + 0.9 = 9.9  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  9.9  |  |  |  |\n| 2) | 8 × 65⁄ 8 = (8 × 6 ) + (8 ×~~ ~~58~~ ~~) = 48 + 5 = 53  |  |  |  |  |  |  |  |  | 2.  53 \u003Cbr>3.  51.6  |  |  |  |\n| 3) | 6 × 8.6 = (6 × 8 ) + (6 × 0.6 ) = 48 + 3.6 = 51.6  |  |  |  |  |  |  |  |  | 4.  17  |  |  |  |\n| 4) | 4 × 41⁄ 4 = (4 × 4 ) + (4 ×~~ ~~14~~ ~~) = 16 + 1 = 17  |  |  |  |  |  |  |  |  | 5.  49 \u003Cbr>6.  11.2  |  |  |  |\n| 5) | 6 × 81⁄ 6 = (6 × 8 ) + (6 ×~~ ~~16~~ ~~) = 48 + 1 = 49  |  |  |  |  |  |  |  |  | 7.  7.5 \u003Cbr>8.  111  |  |  |  |\n| 6) | 4 × 2.8 = (4 × 2 ) + (4 × 0.8 ) = 8 + 3.2 = 11.2  |  |  |  |  |  |  |  |  | 9.  28  |  |  |  |\n| 7) | 3 × 2.5 = (3 × 2 ) + (3 × 0.5 ) = 6 + 1.5 = 7.5  |  |  |  |  |  |  |  |  | 10.  44.1 \u003Cbr>11.  36  |  |  |  |\n| 8) | 12 × 91⁄ 4 = (12 × 9 ) + (12 ×~~ ~~14~~ ~~) = 108 + 3 = 111  |  |  |  |  |  |  |  |  | 12.  78.3  |  |  |  |\n| 9) | 3 × 91⁄ 3 = (3 × 9 ) + (3 ×~~ ~~13~~ ~~) = 27 + 1 = 28  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 7 × 6.3 = (7 × 6 ) + (7 × 0.3 ) = 42 + 2.1 = 44.1  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 10 × 33⁄ 5 = (10 × 3 ) + (10 ×~~ ~~35~~ ~~) = 30 + 6 = 36  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 9 × 8.7 = (9 × 8 ) + (9 × 0.7 ) = 72 + 6.3 = 78.3  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 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 × 3.3 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>2) 8 × 65⁄ 8 = (8 ×   ) + (8 ×~~ ~~8~~ ~~) =  +  = \u003Cbr>3) 6 × 8.6 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>4) 4 × 41⁄ 4 = (4 ×   ) + (4 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>5) 6 × 81⁄ 6 = (6 ×   ) + (6 ×~~ ~~6~~ ~~) =  +  = \u003Cbr>6) 4 × 2.8 = (4 ×  ) + (4 ×   ) =+ = \u003Cbr>7) 3 × 2.5 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>8) 12 × 91⁄ 4 = (12 ×  ) + (12 ×~~ ~~4~~ ~~) =+ =  |  |  |  |  | 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)  \n4","cbCaicjsGSwuXUyU","https://ap.wps.com/l/cbCaicjsGSwuXUyU","pdf",46513,"English","# Problems\n## Break apart and solve each expression\n# Answer Key\n## Check final products and sums","[{\"question\":\"What does the distributive property mean in these problems?\",\"answer\":\"The worksheets require multiplying by splitting a number into parts (whole and fractional/decimal portions) and adding the resulting products to get the final answer.\"},{\"question\":\"How do you handle decimals and mixed numbers here?\",\"answer\":\"Rewrite decimals as whole plus fractional parts (e.g., 3.3 = 3 + 0.3) and mixed numbers as whole plus fractional parts (e.g., 9 1/4 = 9 + 1/4), then distribute.\"},{\"question\":\"Where can learners check their work?\",\"answer\":\"An answer key is included that provides each final value for the listed multiplication problems, allowing step results to be verified.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Break apart each number and fill in the blanks to solve | PDF",1790795645]