[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480814-105":59,"doc-detail-480814-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-solve-the-problems","Using the Distributive Property with Decimals and Mixed Numbers - Solve the Problems","","Worksheet focused on applying the distributive property to multiply whole numbers with decimals and mixed numbers. Students break each factor into convenient parts, fill in the missing blanks, and compute the resulting products for multiple problems. Includes answer key solutions showing how each expression is split into sums and recombined to reach final answers, reinforcing place-value understanding and accurate multiplication of fractions and decimals.",{"@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-solve-the-problems/480814/",{"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-solve-the-problems/480814.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does this worksheet ask students to do with each multiplication problem?","Question",{"text":112,"@type":113},"Break apart each number into parts using the distributive property, fill in the blanks, and then add the products to get the final answer.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are decimals handled in the distributive property problems?",{"text":117,"@type":113},"Each decimal is separated into place-value parts (for example, 3.8 as 3 and 0.8), then multiplied by the other factor and added.",{"name":119,"@type":110,"acceptedAnswer":120},"How are mixed numbers handled in the distributive property problems?",{"text":121,"@type":113},"Mixed-number factors are rewritten into numerator/denominator parts or equivalent fractions, then multiplied term-by-term according to the distributive property before summing.","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},480814,1790822880,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},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) 12 × 31⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ = \u003Cbr>2) 7 × 3.8 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>3) 3 × 7.1 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>4) 12 × 71⁄ 2 = (12 ×   ) + (12 ×~~ ~~2~~ ~~) =+ =  5) 3 × 8.7 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>6) 4 × 43⁄ 4 = (4 ×  ) + (4 ×~~ ~~4~~ ~~) =  +   =  7) 4 × 83⁄ 4 = (4 ×  ) + (4 ×~~ ~~4~~ ~~) =  +   =  8) 4 × 7.5 = (4 ×  ) + (4 ×  ) =  +   = \u003Cbr>9) 5 × 5.7 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>10) 5 × 43⁄ 5 = (5 ×  ) + (5 ×~~ ~~5~~ ~~) =  +   =  11) 8 × 75⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   = \u003Cbr>12) 6 × 8.3 = (6 ×  ) + (6 ×  ) =  +   =  | 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)  \n1  \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) 12 × 31⁄ 12 = (12 × 3 ) + (12 ×~~ ~~112~~ ~~) = 36 + 1 = 37  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  37  |  |  |  |\n| 2) | 7 × 3.8 = (7 × 3 ) + (7 × 0.8 ) = 21 + 5.6 = 26.6  |  |  |  |  |  |  |  |  | 2.  26.6 \u003Cbr>3.  21.3  |  |  |  |\n| 3) | 3 × 7.1 = (3 × 7 ) + (3 × 0.1 ) = 21 + 0.3 = 21.3  |  |  |  |  |  |  |  |  | 4.  90  |  |  |  |\n| 4) | 12 × 71⁄ 2 = (12 × 7 ) + (12 ×~~ ~~12~~ ~~) = 84 + 6 = 90  |  |  |  |  |  |  |  |  | 5.  26.1 \u003Cbr>6.  19  |  |  |  |\n| 5) | 3 × 8.7 = (3 × 8 ) + (3 × 0.7 ) = 24 + 2.1 = 26.1  |  |  |  |  |  |  |  |  | 7.  35 \u003Cbr>8.  30  |  |  |  |\n| 6) | 4 × 43⁄ 4 = (4 × 4 ) + (4 ×~~ ~~34~~ ~~) = 16 + 3 = 19  |  |  |  |  |  |  |  |  | 9.  28.5  |  |  |  |\n| 7) | 4 × 83⁄ 4 = (4 × 8 ) + (4 ×~~ ~~34~~ ~~) = 32 + 3 = 35  |  |  |  |  |  |  |  |  | 10.  23 \u003Cbr>11.  61  |  |  |  |\n| 8) | 4 × 7.5 = (4 × 7 ) + (4 × 0.5 ) = 28 + 2 = 30  |  |  |  |  |  |  |  |  | 12.  49.8  |  |  |  |\n| 9) | 5 × 5.7 = (5 × 5 ) + (5 × 0.7 ) = 25 + 3.5 = 28.5  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 5 × 43⁄ 5 = (5 × 4 ) + (5 ×~~ ~~35~~ ~~) = 20 + 3 = 23  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 8 × 75⁄ 8 = (8 × 7 ) + (8 ×~~ ~~58~~ ~~) = 56 + 5 = 61  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 6 × 8.3 = (6 × 8 ) + (6 × 0.3 ) = 48 + 1.8 = 49.8  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 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) 12 × 31⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ = \u003Cbr>2) 7 × 3.8 = (7 ×  ) + (7 ×   ) =+ = \u003Cbr>3) 3 × 7.1 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>4) 12 × 71⁄ 2 = (12 ×  ) + (12 ×~~ ~~2~~ ~~) =+ = \u003Cbr>5) 3 × 8.7 = (3 ×  ) + (3 ×   ) =+ = \u003Cbr>6) 4 × 43⁄ 4 = (4 ×   ) + (4 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>7) 4 × 83⁄ 4 = (4 ×   ) + (4 ×~~ ~~4~~ ~~) =  +  = \u003Cbr>8) 4 × 7.5 = (4 ×  ) + (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)  \n1  \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) 12 × 71⁄ 3 = (12 ×   ) + (12 ×~~ ~~3~~ ~~) =+ = \u003Cbr>2) 6 × 3.7 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>3) 12 × 61⁄ 2 = (12 ×   ) + (12 ×~~ ~~2~~ ~~) =+ =  4) 3 × 8.3 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>5) 2 × 8.5 = (2 ×  ) + (2 ×  ) =  +   = \u003Cbr>6) 8 × 43⁄ 4 = (8 ×  ) + (8 ×~~ ~~4~~ ~~) =  +   =  7","cbCaiuZcVZYl8ivM","https://ap.wps.com/l/cbCaiuZcVZYl8ivM","pdf",471610,"English","# Practice Problems\n## Break Apart and Multiply\n# Answer Key","[{\"question\":\"What does this worksheet ask students to do with each multiplication problem?\",\"answer\":\"Break apart each number into parts using the distributive property, fill in the blanks, and then add the products to get the final answer.\"},{\"question\":\"How are decimals handled in the distributive property problems?\",\"answer\":\"Each decimal is separated into place-value parts (for example, 3.8 as 3 and 0.8), then multiplied by the other factor and added.\"},{\"question\":\"How are mixed numbers handled in the distributive property problems?\",\"answer\":\"Mixed-number factors are rewritten into numerator/denominator parts or equivalent fractions, then multiplied term-by-term according to the distributive property before summing.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Solve the Problems | PDF",1790795639,76]