[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480324-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-480324-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","associative-value-missing-digit-find-the-value-of-n-answer-key","Associative Value (Missing Digit) - Find the value of n - Answer Key","","Worksheet answer key for problems on the associative property of multiplication using a missing digit variable n. Each item rewrites an expression in two equivalent ways, then solves for n based on the provided digits and equality statements. The key lists final numeric values of n for the corresponding questions, organized in two sets for quick checking. Suitable for math practice and self-assessment of properties of operations.",{"@graph":14,"@context":72},[15,34,55],{"@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/associative-value-missing-digit-find-the-value-of-n-answer-key/480324/",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/associative-value-missing-digit-find-the-value-of-n-answer-key/480324.png","ImageObject",300,407,{"name":42,"@type":43},"Aldword","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the goal of this worksheet?","Question",{"text":62,"@type":63},"Find the value of n for each multiplication equation that uses the associative property.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How does the associative property appear in the problems?",{"text":67,"@type":63},"Each question rewrites a product in an equivalent way by regrouping factors, such as (a × b) × c equaling a × (b × c).",{"name":69,"@type":60,"acceptedAnswer":70},"Where can the answers be checked?",{"text":71,"@type":63},"The answer key section lists the numeric value of n for each question number.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},480324,1792883376,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":33,"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":110},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Associative Value (Missing Digit)  \nName:  \nFind the value of n. Answers  \n1) ( 4 × 6 ) × 8 = 4 × ( 6 × n ) 2) ( 7 × 3 ) × n = 7 × ( 3 × 2 )  \n1.  \n2.  \n3) 8 × ( n × 1 ) = ( 8 × 6 ) × 1 4) ( 10 × 2 ) × 7 = n × ( 2 × 7 )  \n3.  \n4.  \n5) 7 × ( 0 × 5 ) = ( n × 0 ) × 5 6) ( 7 × 0 ) × 6 = 7 × ( n × 6 )  \n5.  \n6.  \n7) ( 1 × 3 ) × 9 = n × ( 3 × 9 ) 8) ( 3 × 9 ) × 8 = n × ( 9 × 8 )  \n7.  \n8.  \n9) 5 × ( 10 × 8 ) = ( n × 10 ) × 8 10) n × ( 8 × 5 ) = ( 1 × 8 ) × 5  \n9.  \n10.  \n11) 2 × ( 7 × 1 ) = ( n × 7 ) × 1 12) ( 7 × 5 ) × 10 = 7 × ( n × 10 )  \n11.  \n12.  \n13) 7 × ( 0 × n ) = ( 7 × 0 ) × 6 14) ( 2 × 5 ) × n = 2 × ( 5 × 8 )  \n13.  \n14.  \n15) ( 8 × 6 ) × 5 = 8 × ( 6 × n ) 16) ( n × 1 ) × 9 = 3 × ( 1 × 9 )  \n15.  \n16.  \n17) ( 5 × n ) × 8 = 5 × ( 6 × 8 ) 18) 9 × ( 1 × n ) = ( 9 × 1 ) × 10  \n17.  \n18.  \n19) ( n × 7 ) × 4 = 3 × ( 7 × 4 ) 20) ( n × 7 ) × 6 = 5 × ( 7 × 6 )  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \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) ( 4 × 6 ) × 8 = 4 × ( 6 × n ) 2) ( 7 × 3 ) × n = 7 × ( 3 × 2 )  \n3) 8 × ( n × 1 ) = ( 8 × 6 ) × 1 4) ( 10 × 2 ) × 7 = n × ( 2 × 7 )  \n5) 7 × ( 0 × 5 ) = ( n × 0 ) × 5 6) ( 7 × 0 ) × 6 = 7 × ( n × 6 )  \n7) ( 1 × 3 ) × 9 = n × ( 3 × 9 ) 8) ( 3 × 9 ) × 8 = n × ( 9 × 8 )  \n9) 5 × ( 10 × 8 ) = ( n × 10 ) × 8 10) n × ( 8 × 5 ) = ( 1 × 8 ) × 5  \n11) 2 × ( 7 × 1 ) = ( n × 7 ) × 1 12) ( 7 × 5 ) × 10 = 7 × ( n × 10 )  \n13) 7 × ( 0 × n ) = ( 7 × 0 ) × 6 14) ( 2 × 5 ) × n = 2 × ( 5 × 8 )  \n15) ( 8 × 6 ) × 5 = 8 × ( 6 × n ) 16) ( n × 1 ) × 9 = 3 × ( 1 × 9 )  \n17) ( 5 × n ) × 8 = 5 × ( 6 × 8 ) 18) 9 × ( 1 × n ) = ( 9 × 1 ) × 10  \n19) ( n × 7 ) × 4 = 3 × ( 7 × 4 ) 20) ( n × 7 ) × 6 = 5 × ( 7 × 6 )  \nAnswers  \n1. 8 2. 2 3. 6 4. 10 5. 7 6. 0 7. 1 8. 3 9. 5 10. 1 11. 2 12. 5 13. 6 14. 8 15. 5 16. 3 17. 6 18. 10 19. 3  \n20. 5  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \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.  \n2 7 1 1  \n2 0 3 8  \n10 6 5 5  \n1) ( 4 × 6 ) × 8 = 4 × ( 6 × n ) 2) ( 7 × 3 ) × n = 7 × ( 3 × 2 )  \n3) 8 × ( n × 1 ) = ( 8 × 6 ) × 1 4) ( 10 × 2 ) × 7 = n × ( 2 × 7 )  \n5) 7 × ( 0 × 5 ) = ( n × 0 ) × 5 6) ( 7 × 0 ) × 6 = 7 × ( n × 6 )  \n7) ( 1 × 3 ) × 9 = n × ( 3 × 9 ) 8) ( 3 × 9 ) × 8 = n × ( 9 × 8 )  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) 5 × ( 10 × 8 ) = ( n × 10 ) × 8 10) n × ( 8 × 5 ) = ( 1 × 8 ) × 5  \n11) 2 × ( 7 × 1 ) = ( n × 7 ) × 1 12) ( 7 × 5 ) × 10 = 7 × ( n × 10 )  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCaiuiM6DPzs2OP","https://ap.wps.com/l/cbCaiuiM6DPzs2OP","pdf",44105,"English","# Find the value of n\n## Multiplication associative property questions\n## Answer key values for n","[{\"question\":\"What is the goal of this worksheet?\",\"answer\":\"Find the value of n for each multiplication equation that uses the associative property.\"},{\"question\":\"How does the associative property appear in the problems?\",\"answer\":\"Each question rewrites a product in an equivalent way by regrouping factors, such as (a × b) × c equaling a × (b × c).\"},{\"question\":\"Where can the answers be checked?\",\"answer\":\"The answer key section lists the numeric value of n for each question number.\"}]","Associative Value (Missing Digit) - Find the value of n - Answer Key | PDF",1790794805]