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Each item presents an equation where the same operation is regrouped using associativity, and the value of n must be determined from the equality. The set includes questions 1 through 20 with corresponding integer answers listed for quick checking. Suitable for practice and assessment of multiplication grouping and missing-number reasoning.",{"@graph":69,"@context":114},[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/480317/",{"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/480317.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":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"Where can the answers be found?","Question",{"text":112,"@type":113},"An answer key lists the value of n for questions 1 through 20.","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},480317,1792900677,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"read_time":39},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Associative Value (Missing Digit)  \nName:  \nFind the value of n. Answers  \n1) ( 5 × 2 ) × 4 = 5 × ( 2 × n ) 2) 0 × ( 10 × 6 ) = ( 0 × 10 ) × n  \n1.  \n2.  \n3) 2 × ( 9 × 10 ) = ( 2 × 9 ) × n 4) ( 4 × 0 ) × 10 = 4 × ( 0 × n )  \n3.  \n4.  \n5) 9 × ( 4 × n ) = ( 9 × 4 ) × 2 6) ( n × 6 ) × 5 = 4 × ( 6 × 5 )  \n5.  \n6.  \n7) ( n × 1 ) × 8 = 4 × ( 1 × 8 ) 8) ( 6 × 4 ) × 9 = 6 × ( 4 × n )  \n7.  \n8.  \n9) ( 6 × 5 ) × n = 6 × ( 5 × 1 ) 10) n × ( 6 × 8 ) = ( 2 × 6 ) × 8  \n9.  \n10.  \n11) ( 3 × 8 ) × n = 3 × ( 8 × 9 ) 12) 3 × ( 1 × 2 ) = ( n × 1 ) × 2  \n11.  \n12.  \n13) 6 × ( 9 × 5 ) = ( 6 × n ) × 5 14) 2 × ( 0 × 4 ) = ( 2 × 0 ) × n  \n13.  \n14.  \n15) 3 × ( n × 8 ) = ( 3 × 4 ) × 8 16) 7 × ( n × 6 ) = ( 7 × 1 ) × 6  \n15.  \n16.  \n17) 8 × ( 5 × 0 ) = ( 8 × n ) × 0 18) 4 × ( 0 × n ) = ( 4 × 0 ) × 9  \n17.  \n18.  \n19) 3 × ( 8 × n ) = ( 3 × 8 ) × 4 20) 2 × ( 0 × 3 ) = ( 2 × 0 ) × n  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \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 × 2 ) × 4 = 5 × ( 2 × n ) 2) 0 × ( 10 × 6 ) = ( 0 × 10 ) × n  \n3) 2 × ( 9 × 10 ) = ( 2 × 9 ) × n 4) ( 4 × 0 ) × 10 = 4 × ( 0 × n )  \n5) 9 × ( 4 × n ) = ( 9 × 4 ) × 2 6) ( n × 6 ) × 5 = 4 × ( 6 × 5 )  \n7) ( n × 1 ) × 8 = 4 × ( 1 × 8 ) 8) ( 6 × 4 ) × 9 = 6 × ( 4 × n )  \n9) ( 6 × 5 ) × n = 6 × ( 5 × 1 ) 10) n × ( 6 × 8 ) = ( 2 × 6 ) × 8  \n11) ( 3 × 8 ) × n = 3 × ( 8 × 9 ) 12) 3 × ( 1 × 2 ) = ( n × 1 ) × 2  \n13) 6 × ( 9 × 5 ) = ( 6 × n ) × 5 14) 2 × ( 0 × 4 ) = ( 2 × 0 ) × n  \n15) 3 × ( n × 8 ) = ( 3 × 4 ) × 8 16) 7 × ( n × 6 ) = ( 7 × 1 ) × 6  \n17) 8 × ( 5 × 0 ) = ( 8 × n ) × 0 18) 4 × ( 0 × n ) = ( 4 × 0 ) × 9  \n19) 3 × ( 8 × n ) = ( 3 × 8 ) × 4 20) 2 × ( 0 × 3 ) = ( 2 × 0 ) × n  \nAnswers  \n1. 4 2. 6 3. 10 4. 10 5. 2 6. 4 7. 4 8. 9 9. 1 10. 2 11. 9 12. 3 13. 9 14. 4 15. 4 16. 1 17. 5 18. 9 19. 4  \n20. 3  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \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 4 9 9  \n6 4 2 2  \n4 3 10 1  \n1) ( 5 × 2 ) × 4 = 5 × ( 2 × n ) 2) 0 × ( 10 × 6 ) = ( 0 × 10 ) × n  \n3) 2 × ( 9 × 10 ) = ( 2 × 9 ) × n 4) ( 4 × 0 ) × 10 = 4 × ( 0 × n )  \n5) 9 × ( 4 × n ) = ( 9 × 4 ) × 2 6) ( n × 6 ) × 5 = 4 × ( 6 × 5 )  \n7) ( n × 1 ) × 8 = 4 × ( 1 × 8 ) 8) ( 6 × 4 ) × 9 = 6 × ( 4 × n )  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) ( 6 × 5 ) × n = 6 × ( 5 × 1 ) 10) n × ( 6 × 8 ) = ( 2 × 6 ) × 8  \n11) ( 3 × 8 ) × n = 3 × ( 8 × 9 ) 12) 3 × ( 1 × 2 ) = ( n × 1 ) × 2  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCaitneneV7jcqo","https://ap.wps.com/l/cbCaitneneV7jcqo","pdf",44099,"English","# Find the value of n\n## Questions 1-10\n## Questions 11-20","[{\"question\":\"Where can the answers be found?\",\"answer\":\"An answer key lists the value of n for questions 1 through 20.\"}]","Associative Value (Missing Digit) - Find the value of n | PDF",1790794794]