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Students determine the value of n by comparing equivalent multiplication expressions written in different associative groupings, including cases with factors like 10 and 0. Multiple-choice questions require selecting the correct option A-D for each equation, followed by answer sections that list the solutions.",{"@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-property-missing-digit-find-the-value-of-n/480280/",{"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-property-missing-digit-find-the-value-of-n/480280.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},"What math concept is being practiced?","Question",{"text":112,"@type":113},"The associative property of multiplication, where regrouping factors does not change the product, even when 0 is involved.","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},480280,1792857683,{"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 Property (Missing Digit)  \nName:  \n\n| Find the value of n.\u003Cbr>1) ( 6 × 10 ) × 7 = 6 × ( 10 × n ) 2) 7 × ( n × 0 ) = ( 7 × 10 ) × 0 |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 10 B. 7\u003Cbr>C. 3 D. 6 |  | A. 7 B. 10\u003Cbr>C. 0 D. 3 |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 3) | 7 × ( n × 3 ) = ( 7 × 8 ) × 3 | 4) | 4 × ( 7 × n ) = ( 4 × 7 ) × 2 |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n|  | A. 9 B. 3\u003Cbr>C. 8 D. 7 |  | A. 9 B. 4\u003Cbr>C. 7 D. 2 |  |  |  |  |  |  |  | 4.   |  |  |  |\n| 5)\u003Cbr>7) | ( 5 × n ) × 3 = 5 × ( 8 × 3 )\u003Cbr>A. 2 B. 8\u003Cbr>C. 5 D. 3\u003Cbr>( 0 × 10 ) × 8 = 0 × ( 10 × n )\u003Cbr>A. 1 B. 10 | 6)\u003Cbr>8) | 8 × ( 10 × 5 ) = ( 8 × 10 ) × n\u003Cbr>A. 10 B. 6\u003Cbr>C. 8 D. 5\u003Cbr>10 × ( 2 × n ) = ( 10 × 2 ) × 4\u003Cbr>A. 4 B. 3 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 9) | C. 0 D. 8\u003Cbr>0 × ( 3 × 4 ) = ( 0 × 3 ) × n\u003Cbr>A. 4 B. 0 | 10) | C. 2 D. 10\u003Cbr>9 × ( 3 × 10 ) = ( n × 3 ) × 10\u003Cbr>A. 8 B. 3 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 11) | C. 3 D. 7\u003Cbr>( 1 × 10 ) × 6 = n × ( 10 × 6 ) | 12) | C. 10 D. 9\u003Cbr>3 × ( 0 × 6 ) = ( 3 × n ) × 6 |  |  |  |  |  |  |  | 13.  \u003Cbr>14.   |  |  |  |\n|  | A. 10 B. 1 |  | A. 3 B. 0 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 8 D. 6 |  | C. 4 D. 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | ( 9 × n ) × 0 = 9 × ( 10 × 0 ) | 14) | ( n × 6 ) × 9 = 10 × ( 6 × 9 ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 9 B. 10 |  | A. 9 B. 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 0 D. 5 |  | C. 10 D. 6 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>www. CommonCoreSheets. | com | 3 | 1-10\u003Cbr>11-14 | 93 | 86 | 79 | 71 | 64 | 57 | 50 | 43 | 36 | 29 |\n|  |  |  |  |  | 21 | 14 | 7 | 0 |  |  |  |  |  |  |\n\nAssociative Property (Missing Digit)  \nName: Answer Key  \n\n| Find the value of n. |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) ( 6 × 10 ) × 7 = 6 × ( 10 × n )\u003Cbr>A. 10 B. 7\u003Cbr>C. 3 D. 6 |  | 2) 7 × ( n × 0 ) = ( 7 × 10 ) × 0\u003Cbr>A. 7 B. 10\u003Cbr>C. 0 D. 3 |  |  |  |  |  |  |  |  | 1.  B  |  |  |  |\n| 3) | 7 × ( n × 3 ) = ( 7 × 8 ) × 3 4) |  | 4 × ( 7 × n ) = ( 4 × 7 ) × 2 |  |  |  |  |  |  |  | 2.  B \u003Cbr>3.  C  |  |  |  |\n|  | A. 9 B. 3\u003Cbr>C. 8 D. 7 |  | A. 9 B. 4\u003Cbr>C. 7 D. 2 |  |  |  |  |  |  |  | 4.  D  |  |  |  |\n| 5)\u003Cbr>7) | ( 5 × n ) × 3 = 5 × ( 8 × 3 ) 6)\u003Cbr>A. 2 B. 8\u003Cbr>C. 5 D. 3\u003Cbr>( 0 × 10 ) × 8 = 0 × ( 10 × n ) 8)\u003Cbr>A. 1 B. 10 |  | 8 × ( 10 × 5 ) = ( 8 × 10 ) × n\u003Cbr>A. 10 B. 6\u003Cbr>C. 8 D. 5\u003Cbr>10 × ( 2 × n ) = ( 10 × 2 ) × 4\u003Cbr>A. 4 B. 3 |  |  |  |  |  |  |  | 5.  B \u003Cbr>6.  D \u003Cbr>7.  D \u003Cbr>8.  A \u003Cbr>9.  A  |  |  |  |\n| 9) | C. 0 D. 8\u003Cbr>0 × ( 3 × 4 ) = ( 0 × 3 ) × n 10)\u003Cbr>A. 4 B. 0 |  | C. 2 D. 10\u003Cbr>9 × ( 3 × 10 ) = ( n × 3 ) × 10\u003Cbr>A. 8 B. 3 |  |  |  |  |  |  |  | 10.  D \u003Cbr>11.  B \u003Cbr>12.  B  |  |  |  |\n| 11) | C. 3 D. 7\u003Cbr>( 1 × 10 ) × 6 = n × ( 10 × 6 ) 12) |  | C. 10 D. 9\u003Cbr>3 × ( 0 × 6 ) = ( 3 × n ) × 6 |  |  |  |  |  |  |  | 13.  B \u003Cbr>14.  C  |  |  |  |\n|  | A. 10 B. 1 |  | A. 3 B. 0 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 8 D. 6 |  | C. 4 D. 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | ( 9 × n ) × 0 = 9 × ( 10 × 0 ) 14) |  | ( n × 6 ) × 9 = 10 × ( 6 × 9 ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 9 B. 10 |  | A. 9 B. 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 0 D. 5 |  | C. 10 D. 6 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 3 | 1-10\u003Cbr>11-14 | 93 | 86 | 79 | 71 | 64 | 57 | 50 | 43 | 36 | 29 |\n|  |  |  |  |  | 21 | 14 | 7 | 0 |  |  |  |  |  |  |\n\nAssociative Property (Missing Digit)  \nName:  \n\n| Find the value of n. | 2) | 7 × ( n × 0 ) = ( 7 × 10 ) × 0 |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 1) ( 6 × 10 ) × 7 = 6 × ( 10 × n ) |  |  |  |  ","cbCaiqgAGzPOK7Iu","https://ap.wps.com/l/cbCaiqgAGzPOK7Iu","pdf",43402,"English","# Find the value of n\n## Multiple-choice associative property questions","[{\"question\":\"What math concept is being practiced?\",\"answer\":\"The associative property of multiplication, where regrouping factors does not change the product, even when 0 is involved.\"}]","Associative Property (Missing Digit) - Find the value of n | PDF",1790794741]