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Students solve 20 equations where parentheses are rearranged, then determine the specific digit that makes each statement true. The materials include problems showing equivalent multiplication expressions with n placed in different positions, plus a completed list of correct answers for quick checking. ",{"@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-480322/480322/",{"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-480322/480322.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",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill do these problems practice?","Question",{"text":112,"@type":113},"They practice the associative property of multiplication by using equivalent expressions with parentheses rearranged.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you solve each problem for n?",{"text":117,"@type":113},"Compute the right-hand multiplication and set it equal to the left-hand expression to determine the digit n that makes the equality true.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can I find the correct answers?",{"text":121,"@type":113},"The document includes an Answer Key listing 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},480322,1792953841,{"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":24,"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 × 10 ) × 7 = 6 × ( 10 × n ) 2) 7 × ( n × 0 ) = ( 7 × 10 ) × 0  \n1.  \n2.  \n3) 7 × ( n × 3 ) = ( 7 × 8 ) × 3 4) 4 × ( 7 × n ) = ( 4 × 7 ) × 2  \n3.  \n4.  \n5) ( 5 × n ) × 3 = 5 × ( 8 × 3 ) 6) 8 × ( 10 × 5 ) = ( 8 × 10 ) × n  \n5.  \n6.  \n7) ( 0 × 10 ) × 8 = 0 × ( 10 × n ) 8) 10 × ( 2 × n ) = ( 10 × 2 ) × 4  \n7.  \n8.  \n9) 0 × ( 3 × 4 ) = ( 0 × 3 ) × n 10) 9 × ( 3 × 10 ) = ( n × 3 ) × 10  \n9.  \n10.  \n11) ( 1 × 10 ) × 6 = n × ( 10 × 6 ) 12) 3 × ( 0 × 6 ) = ( 3 × n ) × 6  \n11.  \n12.  \n13) ( 9 × n ) × 0 = 9 × ( 10 × 0 ) 14) ( n × 6 ) × 9 = 10 × ( 6 × 9 )  \n13.  \n14.  \n15) ( 3 × 0 ) × 10 = n × ( 0 × 10 ) 16) 9 × ( 8 × n ) = ( 9 × 8 ) × 1  \n15.  \n16.  \n17) 8 × ( 2 × n ) = ( 8 × 2 ) × 9 18) 5 × ( 9 × 4 ) = ( n × 9 ) × 4  \n17.  \n18.  \n19) ( 3 × 5 ) × 10 = 3 × ( n × 10 ) 20) ( 3 × 10 ) × 9 = 3 × ( n × 9 )  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \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 × 10 ) × 7 = 6 × ( 10 × n ) 2) 7 × ( n × 0 ) = ( 7 × 10 ) × 0  \n3) 7 × ( n × 3 ) = ( 7 × 8 ) × 3 4) 4 × ( 7 × n ) = ( 4 × 7 ) × 2  \n5) ( 5 × n ) × 3 = 5 × ( 8 × 3 ) 6) 8 × ( 10 × 5 ) = ( 8 × 10 ) × n  \n7) ( 0 × 10 ) × 8 = 0 × ( 10 × n ) 8) 10 × ( 2 × n ) = ( 10 × 2 ) × 4  \n9) 0 × ( 3 × 4 ) = ( 0 × 3 ) × n 10) 9 × ( 3 × 10 ) = ( n × 3 ) × 10  \n11) ( 1 × 10 ) × 6 = n × ( 10 × 6 ) 12) 3 × ( 0 × 6 ) = ( 3 × n ) × 6  \n13) ( 9 × n ) × 0 = 9 × ( 10 × 0 ) 14) ( n × 6 ) × 9 = 10 × ( 6 × 9 )  \n15) ( 3 × 0 ) × 10 = n × ( 0 × 10 ) 16) 9 × ( 8 × n ) = ( 9 × 8 ) × 1  \n17) 8 × ( 2 × n ) = ( 8 × 2 ) × 9 18) 5 × ( 9 × 4 ) = ( n × 9 ) × 4  \n19) ( 3 × 5 ) × 10 = 3 × ( n × 10 ) 20) ( 3 × 10 ) × 9 = 3 × ( n × 9 )  \nAnswers  \n1. 7 2. 10 3. 8 4. 2 5. 8 6. 5 7. 8 8. 4 9. 4 10. 9 11. 1 12. 0 13. 10 14. 10 15. 3 16. 1 17. 9 18. 5 19. 5  \n20. 10  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \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 4 2 10  \n9 8 4 5 0 8 7 8  \n1) ( 6 × 10 ) × 7 = 6 × ( 10 × n ) 2) 7 × ( n × 0 ) = ( 7 × 10 ) × 0  \n3) 7 × ( n × 3 ) = ( 7 × 8 ) × 3 4) 4 × ( 7 × n ) = ( 4 × 7 ) × 2  \n5) ( 5 × n ) × 3 = 5 × ( 8 × 3 ) 6) 8 × ( 10 × 5 ) = ( 8 × 10 ) × n  \n7) ( 0 × 10 ) × 8 = 0 × ( 10 × n ) 8) 10 × ( 2 × n ) = ( 10 × 2 ) × 4  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n9) 0 × ( 3 × 4 ) = ( 0 × 3 ) × n 10) 9 × ( 3 × 10 ) = ( n × 3 ) × 10  \n11) ( 1 × 10 ) × 6 = n × ( 10 × 6 ) 12) 3 × ( 0 × 6 ) = ( 3 × n ) × 6  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17","cbCaiuoNUWZNkSG5","https://ap.wps.com/l/cbCaiuoNUWZNkSG5","pdf",44100,"English","# Find the value of n\n## Problems 1-20\n## Answer key","[{\"question\":\"What skill do these problems practice?\",\"answer\":\"They practice the associative property of multiplication by using equivalent expressions with parentheses rearranged.\"},{\"question\":\"How do you solve each problem for n?\",\"answer\":\"Compute the right-hand multiplication and set it equal to the left-hand expression to determine the digit n that makes the equality true.\"},{\"question\":\"Where can I find the correct answers?\",\"answer\":\"The document includes an Answer Key listing the values of n for problems 1 through 20.\"}]","Associative Value (Missing Digit) - Find the value of n | PDF",1790794803]