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Each problem rewrites products using the associative property and includes expressions where n appears in one factor group. An answer key lists the solved value of n for items 1 through 20, enabling self-checking and targeted review of multiplication with missing digits.",{"@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-480327/480327/",{"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-480327/480327.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":19},"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 find?","Question",{"text":112,"@type":113},"It asks you to find the value of n in each given associative multiplication equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems structured?",{"text":117,"@type":113},"Each item shows two equivalent multiplication expressions using the associative property, with n placed in one of the factors.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there an answer key included?",{"text":121,"@type":113},"Yes. The document provides an answer key listing the value 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},480327,1792857669,{"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":19,"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) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 2) n × ( 7 × 4 ) = ( 0 × 7 ) × 4  \n1.  \n2.  \n3) 9 × ( 0 × 7 ) = ( 9 × n ) × 7 4) 9 × ( 1 × 10 ) = ( 9 × 1 ) × n  \n3.  \n4.  \n5) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 6) ( 4 × n ) × 2 = 4 × ( 5 × 2 )  \n5.  \n6.  \n7) 3 × ( 5 × 9 ) = ( n × 5 ) × 9 8) 3 × ( 6 × 9 ) = ( n × 6 ) × 9  \n7.  \n8.  \n9) ( 8 × 3 ) × 1 = n × ( 3 × 1 ) 10) ( 6 × 5 ) × 3 = 6 × ( 5 × n )  \n9.  \n10.  \n11) n × ( 4 × 3 ) = ( 7 × 4 ) × 3 12) 4 × ( 1 × 2 ) = ( n × 1 ) × 2  \n11.  \n12.  \n13) 1 × ( 4 × n ) = ( 1 × 4 ) × 5 14) 0 × ( 7 × 9 ) = ( 0 × n ) × 9  \n13.  \n14.  \n15) ( 0 × 2 ) × 9 = 0 × ( 2 × n ) 16) ( 8 × n ) × 3 = 8 × ( 1 × 3 )  \n15.  \n16.  \n17) 0 × ( n × 7 ) = ( 0 × 1 ) × 7 18) ( 9 × 3 ) × 2 = 9 × ( 3 × n )  \n17.  \n18.  \n19) ( 9 × 7 ) × 2 = 9 × ( 7 × n ) 20) n × ( 10 × 4 ) = ( 5 × 10 ) × 4  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \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) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 2) n × ( 7 × 4 ) = ( 0 × 7 ) × 4  \n3) 9 × ( 0 × 7 ) = ( 9 × n ) × 7 4) 9 × ( 1 × 10 ) = ( 9 × 1 ) × n  \n5) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 6) ( 4 × n ) × 2 = 4 × ( 5 × 2 )  \n7) 3 × ( 5 × 9 ) = ( n × 5 ) × 9 8) 3 × ( 6 × 9 ) = ( n × 6 ) × 9  \n9) ( 8 × 3 ) × 1 = n × ( 3 × 1 ) 10) ( 6 × 5 ) × 3 = 6 × ( 5 × n )  \n11) n × ( 4 × 3 ) = ( 7 × 4 ) × 3 12) 4 × ( 1 × 2 ) = ( n × 1 ) × 2  \n13) 1 × ( 4 × n ) = ( 1 × 4 ) × 5 14) 0 × ( 7 × 9 ) = ( 0 × n ) × 9  \n15) ( 0 × 2 ) × 9 = 0 × ( 2 × n ) 16) ( 8 × n ) × 3 = 8 × ( 1 × 3 )  \n17) 0 × ( n × 7 ) = ( 0 × 1 ) × 7 18) ( 9 × 3 ) × 2 = 9 × ( 3 × n )  \n19) ( 9 × 7 ) × 2 = 9 × ( 7 × n ) 20) n × ( 10 × 4 ) = ( 5 × 10 ) × 4  \nAnswers  \n1. 1 2. 0 3. 0 4. 10 5. 1 6. 5 7. 3 8. 3 9. 8 10. 3 11. 7 12. 4 13. 5 14. 7 15. 9 16. 1 17. 1 18. 2 19. 2  \n20. 5  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \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.  \n3 1 1 5  \n3 0 10 8  \n4 7 3 0  \n1) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 2) n × ( 7 × 4 ) = ( 0 × 7 ) × 4  \n3) 9 × ( 0 × 7 ) = ( 9 × n ) × 7 4) 9 × ( 1 × 10 ) = ( 9 × 1 ) × n  \n5) ( 1 × 9 ) × 10 = n × ( 9 × 10 ) 6) ( 4 × n ) × 2 = 4 × ( 5 × 2 )  \n7) 3 × ( 5 × 9 ) = ( n × 5 ) × 9 8) 3 × ( 6 × 9 ) = ( n × 6 ) × 9  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) ( 8 × 3 ) × 1 = n × ( 3 × 1 ) 10) ( 6 × 5 ) × 3 = 6 × ( 5 × n )  \n11) n × ( 4 × 3 ) = ( 7 × 4 ) × 3 12) 4 × ( 1 × 2 ) = ( n × 1 ) × 2  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCain33Vdf73Ezb","https://ap.wps.com/l/cbCain33Vdf73Ezb","pdf",44068,"English","# Find the value of n\n## Problems 1-10\n## Problems 11-20\n## Answer key","[{\"question\":\"What does the worksheet ask you to find?\",\"answer\":\"It asks you to find the value of n in each given associative multiplication equation.\"},{\"question\":\"How are the problems structured?\",\"answer\":\"Each item shows two equivalent multiplication expressions using the associative property, with n placed in one of the factors.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document provides an answer key listing the value of n for problems 1 through 20.\"}]","Associative Value - Missing Digit - Find the value of n | PDF",1790794809]