[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480813-105":59,"doc-detail-480813-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-worksheet-and-answer-key","Using the Distributive Property with Decimals and Mixed Numbers - worksheet and answer key","","Worksheet and answer key for practicing the distributive property with decimals and mixed numbers. Students break each product into two parts by separating whole-number and fractional/decimal components, then add the partial products to reach the final multiplication result. Problems include multiplying a whole number by a decimal (e.g., 6.3, 8.5, 6.2, 5.7) and by fractions expressed over the same denominator, such as 7×11/12 and 8×7/8. Solutions demonstrate the expanded form and the summed total.",{"@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-worksheet-and-answer-key/480813/",{"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-worksheet-and-answer-key/480813.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":56},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you use the distributive property with decimals in these problems?","Question",{"text":112,"@type":113},"Split the decimal into a whole-number part and a decimal part (for example, 6.3 into 6 and 0.3). Multiply each part separately and then add the results.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are fractions and mixed numbers handled in the worksheets?",{"text":117,"@type":113},"Rewrite the fractional or mixed component so it can be split into parts over the denominator, then multiply each part separately and add the partial products.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the expected method to fill in the blanks?",{"text":121,"@type":113},"Fill in the factors created by breaking the original number into parts, compute each partial product, and then sum them to match the final answer for each problem.","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},480813,1790824070,{"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":56,"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) 5 × 6.3 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>2) 12 × 711⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  3) 12 × 45⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  4) 7 × 8.5 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>5) 8 × 47⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   =  6) 7 × 6.2 = (7 ×  ) + (7 ×  ) =  +   = \u003Cbr>7) 5 × 5.7 = (5 ×  ) + (5 ×  ) =  +   = \u003Cbr>8) 12 × 91⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  9) 4 × 8.6 = (4 ×  ) + (4 ×  ) =  +   = \u003Cbr>10) 12 × 65⁄ 6 = (12 ×   ) + (12 ×~~ ~~6~~ ~~) =+ =  11) 3 × 21⁄ 3 = (3 ×  ) + (3 ×~~ ~~3~~ ~~) =  +   = \u003Cbr>12) 2 × 3.2 = (2 ×  ) + (2 ×  ) =  +   =  | 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)  \n10  \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) 5 × 6.3 = (5 × 6 ) + (5 × 0.3 ) = 30 + 1.5 = 31.5  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  31.5  |  |  |  |\n| 2) | 12 × 711⁄ 12 = (12 × 7 ) + (12 ×~~ ~~1112~~ ~~) = 84 + 11 = 95  |  |  |  |  |  |  |  |  | 2.  95 \u003Cbr>3.  53  |  |  |  |\n| 3) | 12 × 45⁄ 12 = (12 × 4 ) + (12 ×~~ ~~152~~ ~~) = 48 + 5 = 53  |  |  |  |  |  |  |  |  | 4.  59.5  |  |  |  |\n| 4) | 7 × 8.5 = (7 × 8 ) + (7 × 0.5 ) = 56 + 3.5 = 59.5  |  |  |  |  |  |  |  |  | 5.  39 \u003Cbr>6.  43.4  |  |  |  |\n| 5) | 8 × 47⁄ 8 = (8 × 4 ) + (8 ×~~ ~~78~~ ~~) = 32 + 7 = 39  |  |  |  |  |  |  |  |  | 7.  28.5 \u003Cbr>8.  109  |  |  |  |\n| 6) | 7 × 6.2 = (7 × 6 ) + (7 × 0.2 ) = 42 + 1.4 = 43.4  |  |  |  |  |  |  |  |  | 9.  34.4  |  |  |  |\n| 7) | 5 × 5.7 = (5 × 5 ) + (5 × 0.7 ) = 25 + 3.5 = 28.5  |  |  |  |  |  |  |  |  | 10.  82 \u003Cbr>11.  7  |  |  |  |\n| 8) | 12 × 91⁄ 12 = (12 × 9 ) + (12 ×~~ ~~112~~ ~~) = 108 + 1 = 109  |  |  |  |  |  |  |  |  | 12.  6.4  |  |  |  |\n| 9) | 4 × 8.6 = (4 × 8 ) + (4 × 0.6 ) = 32 + 2.4 = 34.4  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 12 × 65⁄ 6 = (12 × 6 ) + (12 ×~~ ~~56~~ ~~) = 72 + 10 = 82  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 3 × 21⁄ 3 = (3 × 2 ) + (3 ×~~ ~~13~~ ~~) = 6 + 1 = 7  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 2 × 3.2 = (2 × 3 ) + (2 × 0.2 ) = 6 + 0.4 = 6.4  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 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) 5 × 6.3 = (5 ×  ) + (5 ×   ) =+ = \u003Cbr>2) 12 × 711⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ = \u003Cbr>3) 12 × 45⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ = \u003Cbr>4) 7 × 8.5 = (7 ×  ) + (7 ×   ) =+ = \u003Cbr>5) 8 × 47⁄ 8 = (8 ×   ) + (8 ×~~ ~~8~~ ~~) =  +  = \u003Cbr>6) 7 × 6.2 = (7 ×  ) + (7 ×   ) =+ = \u003Cbr>7) 5 × 5.7 = (5 ×  ) + (5 ×   ) =+ = \u003Cbr>8) 12 × 91⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  |  |  |  |  | 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)  \n10","cbCaioxyCKMJyiQK","https://ap.wps.com/l/cbCaioxyCKMJyiQK","pdf",46811,"English","# Distributive Property Practice\n## Decimal Products\n## Fraction and Mixed Number Products","[{\"question\":\"How do you use the distributive property with decimals in these problems?\",\"answer\":\"Split the decimal into a whole-number part and a decimal part (for example, 6.3 into 6 and 0.3). Multiply each part separately and then add the results.\"},{\"question\":\"How are fractions and mixed numbers handled in the worksheets?\",\"answer\":\"Rewrite the fractional or mixed component so it can be split into parts over the denominator, then multiply each part separately and add the partial products.\"},{\"question\":\"What is the expected method to fill in the blanks?\",\"answer\":\"Fill in the factors created by breaking the original number into parts, compute each partial product, and then sum them to match the final answer for each problem.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - worksheet and answer key | PDF",1790795638]