[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480326-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-480326-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","associative-value-missing-digit-find-the-value-of-n-480326","Associative Value (Missing Digit) - Find the value of n","","Associative Value (Missing Digit) practice problems require finding the value of n using the associative property of multiplication. Each item sets an expression with a missing digit n into two equivalent parenthesized forms, such as 5×(8×n)=(5×8)×7 or similar structures. An answer key is provided listing the final values of n for questions 1 through 20.",{"@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/associative-value-missing-digit-find-the-value-of-n-480326/480326/",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-480326/480326.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":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What property do these problems test?","Question",{"text":63,"@type":64},"They test the associative property of multiplication, using equal products formed by changing grouping of factors while keeping the same multiplication structure.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you solve for n in an equation like 5 × (8 × n) = (5 × 8) × 7?",{"text":68,"@type":64},"Compute the right-hand product (5×8)×7, then set it equal to the left-hand form 5×(8×n) to determine the missing digit n.",{"name":70,"@type":61,"acceptedAnswer":71},"Where can the final values of n be found?",{"text":72,"@type":64},"The document includes an Answer Key with values for questions 1 through 20.","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},480326,1792880436,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":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":110},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Associative Value (Missing Digit)  \nName:  \nFind the value of n. Answers  \n1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8  \n1.  \n2.  \n3) ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) ( 10 × 3 ) × 2 = n × ( 3 × 2 )  \n3.  \n4.  \n5) ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6) n × ( 8 × 7 ) = ( 1 × 8 ) × 7  \n5.  \n6.  \n7) 2 × ( 0 × 9 ) = ( 2 × n ) × 9 8) 4 × ( 10 × 1 ) = ( 4 × n ) × 1  \n7.  \n8.  \n9) ( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10) 6 × ( 1 × 10 ) = ( 6 × 1 ) × n  \n9.  \n10.  \n11) 4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) ( 8 × 10 ) × 3 = 8 × ( n × 3 )  \n11.  \n12.  \n13) ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) ( 2 × 9 ) × 7 = 2 × ( 9 × n )  \n13.  \n14.  \n15) 6 × ( 5 × 3 ) = ( n × 5 ) × 3 16) ( 2 × 3 ) × n = 2 × ( 3 × 6 )  \n15.  \n16.  \n17) 4 × ( n × 2 ) = ( 4 × 9 ) × 2 18) ( 8 × 7 ) × n = 8 × ( 7 × 5 )  \n17.  \n18.  \n19) 5 × ( 7 × n ) = ( 5 × 7 ) × 6 20) 0 × ( 4 × 6 ) = ( n × 4 ) × 6  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8  \n3) ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) ( 10 × 3 ) × 2 = n × ( 3 × 2 )  \n5) ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6) n × ( 8 × 7 ) = ( 1 × 8 ) × 7  \n7) 2 × ( 0 × 9 ) = ( 2 × n ) × 9 8) 4 × ( 10 × 1 ) = ( 4 × n ) × 1  \n9) ( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10) 6 × ( 1 × 10 ) = ( 6 × 1 ) × n  \n11) 4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) ( 8 × 10 ) × 3 = 8 × ( n × 3 )  \n13) ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) ( 2 × 9 ) × 7 = 2 × ( 9 × n )  \n15) 6 × ( 5 × 3 ) = ( n × 5 ) × 3 16) ( 2 × 3 ) × n = 2 × ( 3 × 6 )  \n17) 4 × ( n × 2 ) = ( 4 × 9 ) × 2 18) ( 8 × 7 ) × n = 8 × ( 7 × 5 )  \n19) 5 × ( 7 × n ) = ( 5 × 7 ) × 6 20) 0 × ( 4 × 6 ) = ( n × 4 ) × 6  \nAnswers  \n1. 7 2. 8 3. 4 4. 10 5. 0 6. 1 7. 0 8. 10 9. 1 10. 10 11. 3 12. 10 13. 5 14. 7 15. 6 16. 6 17. 9 18. 5 19. 6  \n20. 0  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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.  \n10 10 0 10  \n0 4 7 8  \n1 10 3 1  \n1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8  \n3) ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) ( 10 × 3 ) × 2 = n × ( 3 × 2 )  \n5) ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6) n × ( 8 × 7 ) = ( 1 × 8 ) × 7  \n7) 2 × ( 0 × 9 ) = ( 2 × n ) × 9 8) 4 × ( 10 × 1 ) = ( 4 × n ) × 1  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) ( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10) 6 × ( 1 × 10 ) = ( 6 × 1 ) × n  \n11) 4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) ( 8 × 10 ) × 3 = 8 × ( n × 3 )  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCailgG0GYzHGFH","https://ap.wps.com/l/cbCailgG0GYzHGFH","pdf",44088,"English","# Find the value of n\n## Practice Problems (1-20)\n## Answer Key","[{\"question\":\"What property do these problems test?\",\"answer\":\"They test the associative property of multiplication, using equal products formed by changing grouping of factors while keeping the same multiplication structure.\"},{\"question\":\"How do you solve for n in an equation like 5 × (8 × n) = (5 × 8) × 7?\",\"answer\":\"Compute the right-hand product (5×8)×7, then set it equal to the left-hand form 5×(8×n) to determine the missing digit n.\"},{\"question\":\"Where can the final values of n be found?\",\"answer\":\"The document includes an Answer Key with values for questions 1 through 20.\"}]","Associative Value (Missing Digit) - Find the value of n | PDF",1790794808]