[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-477833-105":59,"doc-detail-477833-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","lattice-2-by-2-solve-lattice-multiplication-problems","Lattice 2 by 2 - Solve lattice multiplication problems","","Practice sheet for using lattice multiplication with 2-by-2 grids to compute products of two-digit numbers. The document provides twelve problems, each formatted for decomposing multiplication into lattice cells and then summing along the diagonals. An accompanying answer key lists the completed results for items 1 through 12, supporting self-checking and fast verification of each multiplication solution.",{"@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/lattice-2-by-2-solve-lattice-multiplication-problems/477833/",{"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/lattice-2-by-2-solve-lattice-multiplication-problems/477833.png","ImageObject",300,407,{"name":92,"@type":93},"supergirl","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 method does this worksheet use to multiply the numbers?","Question",{"text":112,"@type":113},"It uses lattice multiplication on a 2-by-2 grid to solve each two-digit multiplication problem.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many multiplication problems are included?",{"text":117,"@type":113},"There are 12 problems, labeled 1 through 12.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct results be found?",{"text":121,"@type":113},"The document includes an Answer Key section that lists the answers for problems 1 through 12.","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},477833,1792833428,{"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},962088121634,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Lattice 2 by 2  \nName:  \n\n| Use lattice multiplication to solve each problem.\u003Cbr>1) 96 × 32 = 2) 69 × 54 = 3) 97 × 28 = |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  | | |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) 75 × 91 = 5) 48 × 79 = 6) 56 × 73 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| |  | | |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) 45 × 69 = 8) 84 × 45 = 9) 29 × 41 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| |  | | |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) 45 × 24 = 11) 93 × 59 = 12) 57 × 39 = |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| |  | | |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  | 6 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nLattice 2 by 2  \nName: Answer Key  \n\n| Use lattice multiplication to solve each problem. |  |  |  |  |  |  |  |  |  |  |  | Answers 1.  3,072  2.  3,726  3.  2,716  4.  6,825  5.  3,792  6.  4,088  7.  3,105  8.  3,780  9.  1,189  10.  1,080  11.  5,487  12.  2,223  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 96 × 32 =\u003Cbr>9 6\u003Cbr>3\u003Cbr>\u003Cbr>0\u003Cbr>2\u003Cbr>7 1\u003Cbr>8 1\u003Cbr>8 1\u003Cbr>2\u003Cbr> 7  2\u003Cbr>4) 75 × 91 =\u003Cbr>7 5\u003Cbr>6\u003Cbr>\u003Cbr>8\u003Cbr>6\u003Cbr>3 4\u003Cbr>5 0\u003Cbr>7 0\u003Cbr>5\u003Cbr> 2  5\u003Cbr>7) 45 × 69 =\u003Cbr>4 5\u003Cbr>3\u003Cbr>\u003Cbr>1\u003Cbr>2\u003Cbr>4 3\u003Cbr>0 3\u003Cbr>6 4\u003Cbr>5\u003Cbr> 0  5\u003Cbr>10) 45 × 24 =\u003Cbr>4 5\u003Cbr>\u003Cbr> 8  0 | 3\u003Cbr>2\u003Cbr>9\u003Cbr>1\u003Cbr>6\u003Cbr>9\u003Cbr>2\u003Cbr>4 |  | 2) 69 × 54 =\u003Cbr>6 9\u003Cbr>\u003Cbr> 2  6\u003Cbr>5) 48 × 79 =\u003Cbr>4 8\u003Cbr>\u003Cbr> 9  2\u003Cbr>8) 84 × 45 =\u003Cbr>8 4\u003Cbr>\u003Cbr> 8  0\u003Cbr>11) 93 × 59 =\u003Cbr>9 3\u003Cbr>\u003Cbr> 8  7 | 5\u003Cbr>4\u003Cbr>7\u003Cbr>9\u003Cbr>4\u003Cbr>5\u003Cbr>5\u003Cbr>9 | 3) 97 × 28 =\u003Cbr>9 7\u003Cbr>\u003Cbr> 1  6\u003Cbr>6) 56 × 73 =\u003Cbr>5 6\u003Cbr>4\u003Cbr>\u003Cbr>0\u003Cbr>3\u003Cbr>5 4\u003Cbr>2 1\u003Cbr>5 1\u003Cbr>8\u003Cbr> 8  8\u003Cbr>9) 29 × 41 =\u003Cbr>2 9\u003Cbr>1\u003Cbr>\u003Cbr>1\u003Cbr>0\u003Cbr>8 3\u003Cbr>6 0\u003Cbr>2 0\u003Cbr>9\u003Cbr> 8  9\u003Cbr>12) 57 × 39 =\u003Cbr>5 7\u003Cbr>\u003Cbr> 2  3 |  |  | 2\u003Cbr>8\u003Cbr>7\u003Cbr>3\u003Cbr>4\u003Cbr>1\u003Cbr>3\u003Cbr>9 |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  | 6 | 1-10\u003Cbr>11-12 | 92 |  | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  |  | 8 |  | 0 |  |  |  |  |  |  |  |  |\n\nLattice 2 by 2  \nName:  \n\n| Use lattice multiplication to solve each problem.\u003Cbr>\u003Cbr>4,088 3,072 3,726 3,792 2,716 6,825\u003Cbr>1) 96 × 32 = 2) 69 × 54 = 3) 97 × 28 =\u003Cbr>\u003Cbr>4) 75 × 91 = 5) 48 × 79 = 6) 56 × 73 =\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6","cbCaise516RGS68a","https://ap.wps.com/l/cbCaise516RGS68a","pdf",58939,"English","# Problems\n## Lattice multiplication (1-12)\n# Answers\n## Answer key (1-12)","[{\"question\":\"What method does this worksheet use to multiply the numbers?\",\"answer\":\"It uses lattice multiplication on a 2-by-2 grid to solve each two-digit multiplication problem.\"},{\"question\":\"How many multiplication problems are included?\",\"answer\":\"There are 12 problems, labeled 1 through 12.\"},{\"question\":\"Where can the correct results be found?\",\"answer\":\"The document includes an Answer Key section that lists the answers for problems 1 through 12.\"}]","Lattice 2 by 2 - Solve lattice multiplication problems | PDF",1790790478]