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Each item sets an equation like (a × b) × c = a × (b × n) or related forms, then asks learners to determine the value of n from given multiple-choice options. The problems include cases with zeros and ones to test understanding of grouping and multiplication behavior. An answer key is provided alongside the student questions.",{"@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-property-missing-digit-find-the-value-of-n/480282/",{"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/480282.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":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem ask you to find?","Question",{"text":112,"@type":113},"Each question asks for the value of n that makes the multiplication equation true.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is n determined in these associative property problems?",{"text":117,"@type":113},"Use the associative property of multiplication by comparing regrouped expressions such as (a × b) × c and a × (b × n), then select the matching option.",{"name":119,"@type":110,"acceptedAnswer":120},"Why do some equations include 0 or 1?",{"text":121,"@type":113},"They test how grouping works when multiplication involves 0 or 1, where results can quickly become 0 or remain unchanged.","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},480282,1792879049,{"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":81,"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 Property (Missing Digit)  \nName:  \n\n| Find the value of n.\u003Cbr>1) ( 4 × 6 ) × 8 = 4 × ( 6 × n ) 2) ( 7 × 3 ) × n = 7 × ( 3 × 2 ) |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 0 B. 6\u003Cbr>C. 8 D. 4 |  | A. 2 B. 7\u003Cbr>C. 9 D. 3 |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 3) | 8 × ( n × 1 ) = ( 8 × 6 ) × 1 | 4) | ( 10 × 2 ) × 7 = n × ( 2 × 7 ) |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n|  | A. 3 B. 8\u003Cbr>C. 1 D. 6 |  | A. 10 B. 2\u003Cbr>C. 7 D. 9 |  |  |  |  |  |  |  | 4.   |  |  |  |\n| 5)\u003Cbr>7) | 7 × ( 0 × 5 ) = ( n × 0 ) × 5\u003Cbr>A. 7 B. 0\u003Cbr>C. 4 D. 5\u003Cbr>( 1 × 3 ) × 9 = n × ( 3 × 9 )\u003Cbr>A. 1 B. 8 | 6)\u003Cbr>8) | ( 7 × 0 ) × 6 = 7 × ( n × 6 )\u003Cbr>A. 0 B. 6\u003Cbr>C. 7 D. 4\u003Cbr>( 3 × 9 ) × 8 = n × ( 9 × 8 )\u003Cbr>A. 6 B. 9 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 9) | C. 9 D. 3\u003Cbr>5 × ( 10 × 8 ) = ( n × 10 ) × 8\u003Cbr>A. 10 B. 8 | 10) | C. 3 D. 8\u003Cbr>n × ( 8 × 5 ) = ( 1 × 8 ) × 5\u003Cbr>A. 1 B. 8 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 11) | C. 1 D. 5\u003Cbr>2 × ( 7 × 1 ) = ( n × 7 ) × 1 | 12) | C. 7 D. 5\u003Cbr>( 7 × 5 ) × 10 = 7 × ( n × 10 ) |  |  |  |  |  |  |  | 13.  \u003Cbr>14.   |  |  |  |\n|  | A. 4 B. 2 |  | A. 2 B. 7 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 7 D. 1 |  | C. 5 D. 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | 7 × ( 0 × n ) = ( 7 × 0 ) × 6 | 14) | ( 2 × 5 ) × n = 2 × ( 5 × 8 ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 1 B. 0 |  | A. 8 B. 5 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 7 D. 6 |  | C. 2 D. 4 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>www. CommonCoreSheets. | com | 5 | 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) ( 4 × 6 ) × 8 = 4 × ( 6 × n )\u003Cbr>A. 0 B. 6\u003Cbr>C. 8 D. 4 |  | 2) ( 7 × 3 ) × n = 7 × ( 3 × 2 )\u003Cbr>A. 2 B. 7\u003Cbr>C. 9 D. 3 |  |  |  |  |  |  |  |  | 1.  C  |  |  |  |\n| 3) | 8 × ( n × 1 ) = ( 8 × 6 ) × 1 4) |  | ( 10 × 2 ) × 7 = n × ( 2 × 7 ) |  |  |  |  |  |  |  | 2.  A \u003Cbr>3.  D  |  |  |  |\n|  | A. 3 B. 8\u003Cbr>C. 1 D. 6 |  | A. 10 B. 2\u003Cbr>C. 7 D. 9 |  |  |  |  |  |  |  | 4.  A  |  |  |  |\n| 5)\u003Cbr>7) | 7 × ( 0 × 5 ) = ( n × 0 ) × 5 6)\u003Cbr>A. 7 B. 0\u003Cbr>C. 4 D. 5\u003Cbr>( 1 × 3 ) × 9 = n × ( 3 × 9 ) 8)\u003Cbr>A. 1 B. 8 |  | ( 7 × 0 ) × 6 = 7 × ( n × 6 )\u003Cbr>A. 0 B. 6\u003Cbr>C. 7 D. 4\u003Cbr>( 3 × 9 ) × 8 = n × ( 9 × 8 )\u003Cbr>A. 6 B. 9 |  |  |  |  |  |  |  | 5.  A \u003Cbr>6.  A \u003Cbr>7.  A \u003Cbr>8.  C \u003Cbr>9.  D  |  |  |  |\n| 9) | C. 9 D. 3\u003Cbr>5 × ( 10 × 8 ) = ( n × 10 ) × 8 10)\u003Cbr>A. 10 B. 8 |  | C. 3 D. 8\u003Cbr>n × ( 8 × 5 ) = ( 1 × 8 ) × 5\u003Cbr>A. 1 B. 8 |  |  |  |  |  |  |  | 10.  A \u003Cbr>11.  B \u003Cbr>12.  C  |  |  |  |\n| 11) | C. 1 D. 5\u003Cbr>2 × ( 7 × 1 ) = ( n × 7 ) × 1 12) |  | C. 7 D. 5\u003Cbr>( 7 × 5 ) × 10 = 7 × ( n × 10 ) |  |  |  |  |  |  |  | 13.  D \u003Cbr>14.  A  |  |  |  |\n|  | A. 4 B. 2 |  | A. 2 B. 7 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 7 D. 1 |  | C. 5 D. 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | 7 × ( 0 × n ) = ( 7 × 0 ) × 6 14) |  | ( 2 × 5 ) × n = 2 × ( 5 × 8 ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 1 B. 0 |  | A. 8 B. 5 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 7 D. 6 |  | C. 2 D. 4 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 5 | 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 × 3 ) × n = 7 × ( 3 × 2 ) |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |\n| 1) ( 4 × 6 ) × 8 = 4 × ( 6 × n ) |  |  |  |  |  |  |  |  |  |  |\n| A. 0 B. 6\u003Cbr>","cbCaigVX5aiI7c8E","https://ap.wps.com/l/cbCaigVX5aiI7c8E","pdf",43361,"English","# Find the value of n\n## Multiple-choice associative property problems\n## Answer options and answer key","[{\"question\":\"What does each problem ask you to find?\",\"answer\":\"Each question asks for the value of n that makes the multiplication equation true.\"},{\"question\":\"How is n determined in these associative property problems?\",\"answer\":\"Use the associative property of multiplication by comparing regrouped expressions such as (a × b) × c and a × (b × n), then select the matching option.\"},{\"question\":\"Why do some equations include 0 or 1?\",\"answer\":\"They test how grouping works when multiplication involves 0 or 1, where results can quickly become 0 or remain unchanged.\"}]","Associative Property (Missing Digit) - Find the value of n | PDF",1790794745]