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Students determine the value of n by matching equivalent multiplication expressions, such as (a × b) × c = a × (b × n). Multiple choice options accompany each item to reinforce correct transformation of factors and grouping. An answer key is included, providing selected letters for each numbered problem to support checking and self-assessment.",{"@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/480275/",{"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/480275.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 the worksheet ask students to do with n?","Question",{"text":112,"@type":113},"Find the value of n that makes each associative property equation true.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which property is being practiced?",{"text":117,"@type":113},"The associative property of multiplication, rewriting expressions by changing grouping of factors.",{"name":119,"@type":110,"acceptedAnswer":120},"How are answers provided?",{"text":121,"@type":113},"Each problem includes multiple-choice options and a separate answer key showing the correct letter selections.","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},480275,1792956049,{"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) ( 5 × 2 ) × 4 = 5 × ( 2 × n ) 2) 0 × ( 10 × 6 ) = ( 0 × 10 ) × n |  |  |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 2 B. 4\u003Cbr>C. 5 D. 10 |  |  | A. 10 B. 5\u003Cbr>C. 0 D. 6 |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 3) | 2 × ( 9 × 10 ) = ( 2 × 9 ) × n |  | 4) | ( 4 × 0 ) × 10 = 4 × ( 0 × n ) |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n|  | A. 9\u003Cbr>C. 1 | B. 2\u003Cbr>D. 10 |  | A. 4 B. 10\u003Cbr>C. 0 D. 7 |  |  |  |  |  |  |  | 4.   |  |  |  |\n| 5)\u003Cbr>7) | 9 × ( 4 × n )\u003Cbr>A. 2\u003Cbr>C. 9\u003Cbr>( n × 1 ) × 8 A. 1 | = ( 9 × 4 ) × 2\u003Cbr>B. 3\u003Cbr>D. 4\u003Cbr>= 4 × ( 1 × 8 )\u003Cbr>B. 4 | 6)\u003Cbr>8) | ( n × 6 ) × 5 = 4 × ( 6 × 5 )\u003Cbr>A. 4 B. 6\u003Cbr>C. 5 D. 3\u003Cbr>( 6 × 4 ) × 9 = 6 × ( 4 × n )\u003Cbr>A. 4 B. 10 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 9) | C. 9\u003Cbr>( 6 × 5 ) × n A. 5 | D. 8\u003Cbr>= 6 × ( 5 × 1 )\u003Cbr>B. 10 | 10) | C. 9 D. 6\u003Cbr>n × ( 6 × 8 ) = ( 2 × 6 ) × 8\u003Cbr>A. 8 B. 7 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 11) | C. 6\u003Cbr>( 3 × 8 ) × n | D. 1\u003Cbr>= 3 × ( 8 × 9 ) | 12) | C. 6 D. 2\u003Cbr>3 × ( 1 × 2 ) = ( n × 1 ) × 2 |  |  |  |  |  |  |  | 13.  \u003Cbr>14.   |  |  |  |\n|  | A. 8 | B. 4 |  | A. 3 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 3 | D. 9 |  | C. 2 D. 1 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | 6 × ( 9 × 5 ) | = ( 6 × n ) × 5 | 14) | 2 × ( 0 × 4 ) = ( 2 × 0 ) × n |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 9 | B. 6 |  | A. 2 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 5 | D. 0 |  | C. 4 D. 0 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math | www. CommonCoreSheets. | com | 9 | 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) ( 5 × 2 ) × 4 = 5 × ( 2 × n )\u003Cbr>A. 2 B. 4\u003Cbr>C. 5 D. 10 |  | 2) 0 × ( 10 × 6 ) = ( 0 × 10 ) × n\u003Cbr>A. 10 B. 5\u003Cbr>C. 0 D. 6 |  |  |  |  |  |  |  |  | 1.  B  |  |  |  |\n| 3) | 2 × ( 9 × 10 ) = ( 2 × 9 ) × n 4) |  | ( 4 × 0 ) × 10 = 4 × ( 0 × n ) |  |  |  |  |  |  |  | 2.  D \u003Cbr>3.  D  |  |  |  |\n|  | A. 9 B. 2\u003Cbr>C. 1 D. 10 |  | A. 4 B. 10\u003Cbr>C. 0 D. 7 |  |  |  |  |  |  |  | 4.  B  |  |  |  |\n| 5)\u003Cbr>7) | 9 × ( 4 × n ) = ( 9 × 4 ) × 2 6)\u003Cbr>A. 2 B. 3\u003Cbr>C. 9 D. 4\u003Cbr>( n × 1 ) × 8 = 4 × ( 1 × 8 ) 8)\u003Cbr>A. 1 B. 4 |  | ( n × 6 ) × 5 = 4 × ( 6 × 5 )\u003Cbr>A. 4 B. 6\u003Cbr>C. 5 D. 3\u003Cbr>( 6 × 4 ) × 9 = 6 × ( 4 × n )\u003Cbr>A. 4 B. 10 |  |  |  |  |  |  |  | 5.  A \u003Cbr>6.  A \u003Cbr>7.  B \u003Cbr>8.  C \u003Cbr>9.  D  |  |  |  |\n| 9) | C. 9 D. 8\u003Cbr>( 6 × 5 ) × n = 6 × ( 5 × 1 ) 10)\u003Cbr>A. 5 B. 10 |  | C. 9 D. 6\u003Cbr>n × ( 6 × 8 ) = ( 2 × 6 ) × 8\u003Cbr>A. 8 B. 7 |  |  |  |  |  |  |  | 10.  D \u003Cbr>11.  D \u003Cbr>12.  A  |  |  |  |\n| 11) | C. 6 D. 1\u003Cbr>( 3 × 8 ) × n = 3 × ( 8 × 9 ) 12) |  | C. 6 D. 2\u003Cbr>3 × ( 1 × 2 ) = ( n × 1 ) × 2 |  |  |  |  |  |  |  | 13.  A \u003Cbr>14.  C  |  |  |  |\n|  | A. 8 B. 4 |  | A. 3 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 3 D. 9 |  | C. 2 D. 1 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | 6 × ( 9 × 5 ) = ( 6 × n ) × 5 14) |  | 2 × ( 0 × 4 ) = ( 2 × 0 ) × n |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 9 B. 6 |  | A. 2 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 5 D. 0 |  | C. 4 D. 0 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 9 | 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) | 0 × ( 10 × 6 ) = ( 0 × 10 ) × n |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 1)","cbCaibhXRdYzY09D","https://ap.wps.com/l/cbCaibhXRdYzY09D","pdf",43400,"English","# Find the value of n\n## Multiple-choice problems (1-14)\n## Answer key","[{\"question\":\"What does the worksheet ask students to do with n?\",\"answer\":\"Find the value of n that makes each associative property equation true.\"},{\"question\":\"Which property is being practiced?\",\"answer\":\"The associative property of multiplication, rewriting expressions by changing grouping of factors.\"},{\"question\":\"How are answers provided?\",\"answer\":\"Each problem includes multiple-choice options and a separate answer key showing the correct letter selections.\"}]","Associative Property - Missing Digit - Find the value of n | PDF",1790794731]