[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480285-105":59,"doc-detail-480285-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","associative-property-missing-digit-find-the-value-of-n-practice","Associative Property (Missing Digit) - Find the value of n - Practice","","Worksheets on the associative property using multiplication with a missing digit variable n. Problems present equations like 5 × (8 × n) = (5 × 8) × 7 and similar rearrangements where n must be chosen from multiple-choice options A–D. An answer key is included to verify the correct values for each item. The set emphasizes recognizing how regrouping factors preserves the product while determining the unknown 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Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 5 B. 3\u003Cbr>C. 7 D. 8 | A. 8 B. 6\u003Cbr>C. 5 D. 3 |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 3) | ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) | ( 10 × 3 ) × 2 = n × ( 3 × 2 ) |  |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n|  | A. 9 B. 5\u003Cbr>C. 4 D. 1 | A. 3 B. 10\u003Cbr>C. 8 D. 2 |  |  |  |  |  |  |  | 4.   |  |  |  |\n| 5)\u003Cbr>7) | ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6)\u003Cbr>A. 0 B. 1\u003Cbr>C. 5 D. 8\u003Cbr>2 × ( 0 × 9 ) = ( 2 × n ) × 9 8)\u003Cbr>A. 9 B. 7 | n × ( 8 × 7 ) = ( 1 × 8 ) × 7\u003Cbr>A. 7 B. 1\u003Cbr>C. 9 D. 8\u003Cbr>4 × ( 10 × 1 ) = ( 4 × n ) × 1\u003Cbr>A. 4 B. 10 |  |  |  |  |  |  |  | 5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 9) | C. 0 D. 2\u003Cbr>( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10)\u003Cbr>A. 1 B. 7 | C. 7 D. 1\u003Cbr>6 × ( 1 × 10 ) = ( 6 × 1 ) × n\u003Cbr>A. 1 B. 3 |  |  |  |  |  |  |  | 10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |\n| 11) | C. 6 D. 5\u003Cbr>4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) | C. 10 D. 6\u003Cbr>( 8 × 10 ) × 3 = 8 × ( n × 3 ) |  |  |  |  |  |  |  | 13.  \u003Cbr>14.   |  |  |  |\n|  | A. 3 B. 9 | A. 3 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 4 D. 2 | C. 1 D. 8 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) | ( 2 × 9 ) × 7 = 2 × ( 9 × n ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 10 B. 5 | A. 7 B. 8 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 3 D. 4 | C. 9 D. 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 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 × ( 8 × n ) = ( 5 × 8 ) × 7\u003Cbr>A. 5 B. 3\u003Cbr>C. 7 D. 8 |  | 2) 6 × ( 3 × n ) = ( 6 × 3 ) × 8\u003Cbr>A. 8 B. 6\u003Cbr>C. 5 D. 3 |  |  |  |  |  |  |  |  | 1.  C  |  |  |  |\n| 3) | ( 1 × n ) × 5 = 1 × ( 4 × 5 ) 4) |  | ( 10 × 3 ) × 2 = n × ( 3 × 2 ) |  |  |  |  |  |  |  | 2.  A \u003Cbr>3.  C  |  |  |  |\n|  | A. 9 B. 5\u003Cbr>C. 4 D. 1 |  | A. 3 B. 10\u003Cbr>C. 8 D. 2 |  |  |  |  |  |  |  | 4.  B  |  |  |  |\n| 5)\u003Cbr>7) | ( n × 1 ) × 5 = 0 × ( 1 × 5 ) 6)\u003Cbr>A. 0 B. 1\u003Cbr>C. 5 D. 8\u003Cbr>2 × ( 0 × 9 ) = ( 2 × n ) × 9 8)\u003Cbr>A. 9 B. 7 |  | n × ( 8 × 7 ) = ( 1 × 8 ) × 7\u003Cbr>A. 7 B. 1\u003Cbr>C. 9 D. 8\u003Cbr>4 × ( 10 × 1 ) = ( 4 × n ) × 1\u003Cbr>A. 4 B. 10 |  |  |  |  |  |  |  | 5.  A \u003Cbr>6.  B \u003Cbr>7.  C \u003Cbr>8.  B \u003Cbr>9.  A  |  |  |  |\n| 9) | C. 0 D. 2\u003Cbr>( 6 × 7 ) × 1 = 6 × ( 7 × n ) 10)\u003Cbr>A. 1 B. 7 |  | C. 7 D. 1\u003Cbr>6 × ( 1 × 10 ) = ( 6 × 1 ) × n\u003Cbr>A. 1 B. 3 |  |  |  |  |  |  |  | 10.  C \u003Cbr>11.  A \u003Cbr>12.  B  |  |  |  |\n| 11) | C. 6 D. 5\u003Cbr>4 × ( 2 × 3 ) = ( 4 × 2 ) × n 12) |  | C. 10 D. 6\u003Cbr>( 8 × 10 ) × 3 = 8 × ( n × 3 ) |  |  |  |  |  |  |  | 13.  B \u003Cbr>14.  A  |  |  |  |\n|  | A. 3 B. 9 |  | A. 3 B. 10 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 4 D. 2 |  | C. 1 D. 8 |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | ( 3 × 4 ) × n = 3 × ( 4 × 5 ) 14) |  | ( 2 × 9 ) × 7 = 2 × ( 9 × n ) |  |  |  |  |  |  |  |  |  |  |  |\n|  | A. 10 B. 5 |  | A. 7 B. 8 |  |  |  |  |  |  |  |  |  |  |  |\n|  | C. 3 D. 4 |  | C. 9 D. 2 |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 7 | 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) | 6 × ( 3 × n ) = ( 6 × 3 ) | × 8 |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 1) 5 × ( 8 × n ) = ( 5 × 8 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| A. 5 B. 3\u003Cbr>C. 7 D","cbCaipkOvx6NOd4i","https://ap.wps.com/l/cbCaipkOvx6NOd4i","pdf",43352,"English","# Find the value of n\n## Multiple-choice equations (A–D)\n## Answer key verification","[{\"question\":\"What does the missing digit n represent in these problems?\",\"answer\":\"In each equation, n is the unknown digit that makes both sides of the associative property statement equivalent.\"},{\"question\":\"How do you solve an equation like 5 × (8 × n) = (5 × 8) × 7?\",\"answer\":\"Compute or simplify each side, then set the results equal to determine which value of n matches the correct product.\"},{\"question\":\"Why can the parentheses be rearranged in these problems?\",\"answer\":\"Multiplication follows the associative property, so changing how factors are grouped does not change the overall product when n is chosen correctly.\"}]","Associative Property (Missing Digit) - Find the value of n - Practice | PDF",1790794751]