[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480821-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-480821-en":130},{"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-break-apart-each-number-and-fill-in-the-blanks","Using the Distributive Property with Decimals and Mixed Numbers - Break apart each number and fill in the blanks","","Worksheets and an answer key focused on using the distributive property to multiply whole numbers by decimals and mixed numbers. Learners break each factor into expanded parts (e.g., a whole number plus a decimal fraction, or whole plus fractional components) to complete multiplication sentences. Problems are presented as fill-in-the-blank equations, followed by a corresponding answer key that verifies each expanded calculation and final product for the given set of items.",{"@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-break-apart-each-number-and-fill-in-the-blanks/480821/",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-break-apart-each-number-and-fill-in-the-blanks/480821.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What skill do the worksheets practice?","Question",{"text":63,"@type":64},"They practice using the distributive property to multiply decimals and mixed numbers by breaking factors into expanded parts.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How should students complete each problem?",{"text":68,"@type":64},"Students break apart each number, fill in the blanks for the expanded multiplication, then compute the final product.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the purpose of the answer key?",{"text":72,"@type":64},"The answer key provides the correct completed values for each fill-in-the-blank multiplication problem so students can check their work.","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},480821,1792854663,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55},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) 6 × 8.2 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>2) 6 × 61⁄ 2 = (6 ×  ) + (6 ×~~ ~~2~~ ~~) =  +   =  3) 8 × 55⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   =  4) 4 × 5.3 = (4 ×  ) + (4 ×  ) =  +   = \u003Cbr>5) 6 × 3.2 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>6) 8 × 47⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   =  7) 6 × 2.6 = (6 ×  ) + (6 ×  ) =  +   = \u003Cbr>8) 8 × 61⁄ 2 = (8 ×  ) + (8 ×~~ ~~2~~ ~~) =  +   =  9) 8 × 71⁄ 8 = (8 ×  ) + (8 ×~~ ~~8~~ ~~) =  +   =  10) 3 × 8.8 = (3 ×  ) + (3 ×  ) =  +   = \u003Cbr>11) 12 × 25⁄ 12 = (12 ×  ) + (12 ×~~ ~~12~~ ~~) =+ =  12) 3 × 5.3 = (3 ×  ) + (3 ×  ) =  +   =  | 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)  \n7  \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) 6 × 8.2 = (6 × 8 ) + (6 × 0.2 ) = 48 + 1.2 = 49.2  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | 1.  49.2  |  |  |  |\n| 2) | 6 × 61⁄ 2 = (6 × 6 ) + (6 ×~~ ~~12~~ ~~) = 36 + 3 = 39  |  |  |  |  |  |  |  |  | 2.  39 \u003Cbr>3.  45  |  |  |  |\n| 3) | 8 × 55⁄ 8 = (8 × 5 ) + (8 ×~~ ~~58~~ ~~) = 40 + 5 = 45  |  |  |  |  |  |  |  |  | 4.  21.2  |  |  |  |\n| 4) | 4 × 5.3 = (4 × 5 ) + (4 × 0.3 ) = 20 + 1.2 = 21.2  |  |  |  |  |  |  |  |  | 5.  19.2 \u003Cbr>6.  39  |  |  |  |\n| 5) | 6 × 3.2 = (6 × 3 ) + (6 × 0.2 ) = 18 + 1.2 = 19.2  |  |  |  |  |  |  |  |  | 7.  15.6 \u003Cbr>8.  52  |  |  |  |\n| 6) | 8 × 47⁄ 8 = (8 × 4 ) + (8 ×~~ ~~78~~ ~~) = 32 + 7 = 39  |  |  |  |  |  |  |  |  | 9.  57  |  |  |  |\n| 7) | 6 × 2.6 = (6 × 2 ) + (6 × 0.6 ) = 12 + 3.6 = 15.6  |  |  |  |  |  |  |  |  | 10.  26.4 \u003Cbr>11.  29  |  |  |  |\n| 8) | 8 × 61⁄ 2 = (8 × 6 ) + (8 ×~~ ~~12~~ ~~) = 48 + 4 = 52  |  |  |  |  |  |  |  |  | 12.  15.9  |  |  |  |\n| 9) | 8 × 71⁄ 8 = (8 × 7 ) + (8 ×~~ ~~18~~ ~~) = 56 + 1 = 57  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 3 × 8.8 = (3 × 8 ) + (3 × 0.8 ) = 24 + 2.4 = 26.4  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 12 × 25⁄ 12 = (12 × 2 ) + (12 ×~~ ~~152~~ ~~) = 24 + 5 = 29  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 3 × 5.3 = (3 × 5 ) + (3 × 0.3 ) = 15 + 0.9 = 15.9  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 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) 6 × 8.2 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>2) 6 × 61⁄ 2 = (6 ×   ) + (6 ×~~ ~~2~~ ~~) =  +  = \u003Cbr>3) 8 × 55⁄ 8 = (8 ×   ) + (8 ×~~ ~~8~~ ~~) =  +  = \u003Cbr>4) 4 × 5.3 = (4 ×  ) + (4 ×   ) =+ = \u003Cbr>5) 6 × 3.2 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>6) 8 × 47⁄ 8 = (8 ×   ) + (8 ×~~ ~~8~~ ~~) =  +  = \u003Cbr>7) 6 × 2.6 = (6 ×  ) + (6 ×   ) =+ = \u003Cbr>8) 8 × 61⁄ 2 = (8 ×   ) + (8 ×~~ ~~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)  \n7","cbCaieVaorg8YDMw","https://ap.wps.com/l/cbCaieVaorg8YDMw","pdf",46153,"English","# Using the Distributive Property with Decimals and Mixed Numbers\n## Fill-in Multiplication Sentences\n## Answer Key Verification","[{\"question\":\"What skill do the worksheets practice?\",\"answer\":\"They practice using the distributive property to multiply decimals and mixed numbers by breaking factors into expanded parts.\"},{\"question\":\"How should students complete each problem?\",\"answer\":\"Students break apart each number, fill in the blanks for the expanded multiplication, then compute the final product.\"},{\"question\":\"What is the purpose of the answer key?\",\"answer\":\"The answer key provides the correct completed values for each fill-in-the-blank multiplication problem so students can check their work.\"}]","Using the Distributive Property with Decimals and Mixed Numbers - Break apart each number and fill in the blanks | PDF",1790795650]