[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480320-105":59,"doc-detail-480320-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","associative-value-missing-digit-find-the-value-of-n-480320","Associative Value (Missing Digit) - Find the value of n","","Worksheet on associative property using a missing digit variable n. Students solve 20 multiplication equations where factors are regrouped, such as re-associating (a × (b × c)) into ((a × b) × c), while keeping the numerical results consistent. An answer key section lists the computed values of n for each problem. The page also includes a mathematical context and submission/seed details from CommonCoreSheets math practice.",{"@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/associative-value-missing-digit-find-the-value-of-n-480320/480320/",{"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/associative-value-missing-digit-find-the-value-of-n-480320/480320.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","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 worksheet ask you to do in each problem?","Question",{"text":112,"@type":113},"Find the value of the missing digit n that makes each multiplication equation true.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which math idea is used to solve these problems?",{"text":117,"@type":113},"The associative property of multiplication, regrouping factors without changing the product.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there an answer key included?",{"text":121,"@type":113},"Yes. The document lists the values of n for problems 1 through 20.","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},480320,1792857678,{"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},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Associative Value (Missing Digit)  \nName:  \nFind the value of n. Answers  \n1) 6 × ( n × 1 ) = ( 6 × 5 ) × 1 2) ( 2 × 4 ) × 5 = n × ( 4 × 5 )  \n1.  \n2.  \n3) ( 5 × 2 ) × n = 5 × ( 2 × 1 ) 4) 3 × ( 2 × 10 ) = ( n × 2 ) × 10  \n3.  \n4.  \n5) ( 10 × 8 ) × 0 = 10 × ( 8 × n ) 6) ( 0 × 10 ) × 3 = 0 × ( 10 × n )  \n5.  \n6.  \n7) ( 4 × n ) × 8 = 4 × ( 7 × 8 ) 8) ( 9 × 8 ) × 10 = n × ( 8 × 10 )  \n7.  \n8.  \n9) ( 8 × 5 ) × n = 8 × ( 5 × 10 ) 10) ( 10 × 6 ) × n = 10 × ( 6 × 0 )  \n9.  \n10.  \n11) 1 × ( 4 × 2 ) = ( n × 4 ) × 2 12) n × ( 7 × 2 ) = ( 1 × 7 ) × 2  \n11.  \n12.  \n13) ( 7 × 4 ) × 1 = n × ( 4 × 1 ) 14) 9 × ( 3 × 6 ) = ( 9 × n ) × 6  \n13.  \n14.  \n15) 3 × ( 10 × n ) = ( 3 × 10 ) × 4 16) 0 × ( 3 × 4 ) = ( 0 × 3 ) × n  \n15.  \n16.  \n17) ( 9 × 6 ) × 7 = n × ( 6 × 7 ) 18) 6 × ( n × 0 ) = ( 6 × 3 ) × 0  \n17.  \n18.  \n19) 7 × ( 5 × n ) = ( 7 × 5 ) × 1 20) ( 8 × 9 ) × 10 = 8 × ( 9 × n )  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nAssociative Value (Missing Digit)  \nName: Answer Key  \nFind the value of n.  \n1) 6 × ( n × 1 ) = ( 6 × 5 ) × 1 2) ( 2 × 4 ) × 5 = n × ( 4 × 5 )  \n3) ( 5 × 2 ) × n = 5 × ( 2 × 1 ) 4) 3 × ( 2 × 10 ) = ( n × 2 ) × 10  \n5) ( 10 × 8 ) × 0 = 10 × ( 8 × n ) 6) ( 0 × 10 ) × 3 = 0 × ( 10 × n )  \n7) ( 4 × n ) × 8 = 4 × ( 7 × 8 ) 8) ( 9 × 8 ) × 10 = n × ( 8 × 10 )  \n9) ( 8 × 5 ) × n = 8 × ( 5 × 10 ) 10) ( 10 × 6 ) × n = 10 × ( 6 × 0 )  \n11) 1 × ( 4 × 2 ) = ( n × 4 ) × 2 12) n × ( 7 × 2 ) = ( 1 × 7 ) × 2  \n13) ( 7 × 4 ) × 1 = n × ( 4 × 1 ) 14) 9 × ( 3 × 6 ) = ( 9 × n ) × 6  \n15) 3 × ( 10 × n ) = ( 3 × 10 ) × 4 16) 0 × ( 3 × 4 ) = ( 0 × 3 ) × n  \n17) ( 9 × 6 ) × 7 = n × ( 6 × 7 ) 18) 6 × ( n × 0 ) = ( 6 × 3 ) × 0  \n19) 7 × ( 5 × n ) = ( 7 × 5 ) × 1 20) ( 8 × 9 ) × 10 = 8 × ( 9 × n )  \nAnswers  \n1. 5 2. 2 3. 1 4. 3 5. 0 6. 3 7. 7 8. 9 9. 10 10. 0 11. 1 12. 1 13. 7 14. 3 15. 4 16. 4 17. 9 18. 3 19. 1  \n20. 10  \nMath  \nSeed: 1909015403-793  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nAssociative Value (Missing Digit)  \nName:  \nFind the value of n.  \n1 3 0 3  \n5 9 1 2 7 1 10 0  \n1) 6 × ( n × 1 ) = ( 6 × 5 ) × 1 2) ( 2 × 4 ) × 5 = n × ( 4 × 5 )  \n3) ( 5 × 2 ) × n = 5 × ( 2 × 1 ) 4) 3 × ( 2 × 10 ) = ( n × 2 ) × 10  \n5) ( 10 × 8 ) × 0 = 10 × ( 8 × n ) 6) ( 0 × 10 ) × 3 = 0 × ( 10 × n )  \n7) ( 4 × n ) × 8 = 4 × ( 7 × 8 ) 8) ( 9 × 8 ) × 10 = n × ( 8 × 10 )  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) ( 8 × 5 ) × n = 8 × ( 5 × 10 ) 10) ( 10 × 6 ) × n = 10 × ( 6 × 0 )  \n11) 1 × ( 4 × 2 ) = ( n × 4 ) × 2 12) n × ( 7 × 2 ) = ( 1 × 7 ) × 2  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCaiuv0bFHpFvdq","https://ap.wps.com/l/cbCaiuv0bFHpFvdq","pdf",44050,"English","# Find the value of n\n## Problems 1-20\n## Answers","[{\"question\":\"What does the worksheet ask you to do in each problem?\",\"answer\":\"Find the value of the missing digit n that makes each multiplication equation true.\"},{\"question\":\"Which math idea is used to solve these problems?\",\"answer\":\"The associative property of multiplication, regrouping factors without changing the product.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document lists the values of n for problems 1 through 20.\"}]","Associative Value (Missing Digit) - Find the value of n | PDF",1790794797]