[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-478894-105":3,"doc-detail-478894-en":80,"detail-sidebar-cat-0-en-105":96},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","multiplying-using-arrays","Multiplying Using Arrays","","Worksheets focused on multiplying multi-digit numbers by using an array model. Problems ask students to calculate products for six expressions: 63×69, 66×53, 42×53, 53×72, 62×75, and 74×88. An accompanying answer section provides the final products (4,347; 3,498; 2,226; 3,816; 4,650; 6,512) and demonstrates partial area decomposition using tens and ones for each factor.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/multiplying-using-arrays/478894/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/multiplying-using-arrays/478894.png","ImageObject",300,407,{"name":42,"@type":43},"Marglet","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What multiplication problems are included in this worksheet?","Question",{"text":62,"@type":63},"The worksheet includes six problems: 63×69, 66×53, 42×53, 53×72, 62×75, and 74×88.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How should students solve the problems?",{"text":67,"@type":63},"Students use the provided array model to break each multiplication into parts and combine the partial products.",{"name":69,"@type":60,"acceptedAnswer":70},"What are the answers for the six problems?",{"text":71,"@type":63},"The products are 4,347; 3,498; 2,226; 3,816; 4,650; and 6,512, corresponding to problems 1 through 6.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},478894,1792855513,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":95},2336477982702,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Multiplying Using Arrays  \nName:  \n\n| Use the array provided to solve each problem.\u003Cbr>1) 63×69 = 2) 66×53 =\u003Cbr>\u003Cbr>3) 42×53 = 4) 53×72 =\u003Cbr>\u003Cbr>5) 62×75 = 6) 74×88 =\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\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nMultiplying Using Arrays  \nName: Answer Key  \n\n| Use the array provided to solve each problem. |  |  |  |  | Answers 1.  4,347  2.  3,498  3.  2,226  4.  3,816  5.  4,650  6.  6,512  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 63×69 =\u003Cbr>60 9 |  | 2) 66×53 = |  |  |  |  |  |  |  |  |\n|  |  | 60\u003Cbr>6 | 50 3 |  |  |  |  |  |  |  |\n| 60\u003Cbr>3 | (60 × 60)\u003Cbr>3,600\u003Cbr>(3 × 60)\u003Cbr>(60 × 9)\u003Cbr>540\u003Cbr>(3 × 9)\u003Cbr>180 27 |  | (60 × 50) (60\u003Cbr>3,000 1 ×\u003Cbr>8 (6 × 50) (6 ×\u003Cbr>0\u003Cbr>3)\u003Cbr>3) |  |  |  |  |  |  |  |\n|  |  |  | 300 18 |  |  |  |  |  |  |  |\n| 3) 42×53 = |  | 4) 53×72 =\u003Cbr>70 2 |  |  |  |  |  |  |  |  |\n| 40\u003Cbr>2 | 50 3\u003Cbr>(40 × 50)\u003Cbr>2,000\u003Cbr>(2 × 50)\u003Cbr>(40 × 3)\u003Cbr>120\u003Cbr>(2 × 3)\u003Cbr>100 6 |  |  |  |  |  |  |  |  |  |\n|  |  | 50\u003Cbr>3 | (50 × 70)\u003Cbr>3,500\u003Cbr>(3 × 70)\u003Cbr>(50 × 2)\u003Cbr>100\u003Cbr>(3 × 2)\u003Cbr>210 6 |  |  |  |  |  |  |  |\n| 5) 62×75 = |  | 6) 74×88 = |  |  |  |  |  |  |  |  |\n| 60\u003Cbr>2 | 70 5\u003Cbr>(60 × 70)\u003Cbr>4,200\u003Cbr>(2 × 70)\u003Cbr>(60 × 5)\u003Cbr>300\u003Cbr>(2 × 5)\u003Cbr>140 10 | 70\u003Cbr>4 | 80 8\u003Cbr>(70 × 80)\u003Cbr>5,600\u003Cbr>(4 × 80)\u003Cbr>(70 × 8)\u003Cbr>560\u003Cbr>(4 × 8)\u003Cbr>320 32 |  |  |  |  |  |  |  |\n|  |  |  |  | 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \nMultiplying Using Arrays  \nName:  \n\n| Use the array provided to solve each problem. | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| |  |  |  |  |  |\n| 1) 63×69 = 2) 66×53 =\u003Cbr>\u003Cbr>3) 42×53 = 4) 53×72 =\u003Cbr>| 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |\n| 1-4 |  | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2","cbCaijSMEqpF7vjo","https://ap.wps.com/l/cbCaijSMEqpF7vjo","pdf",49129,"English","# Multiplying Using Arrays\n## Student Problems\n## Answer Key","[{\"question\":\"What multiplication problems are included in this worksheet?\",\"answer\":\"The worksheet includes six problems: 63×69, 66×53, 42×53, 53×72, 62×75, and 74×88.\"},{\"question\":\"How should students solve the problems?\",\"answer\":\"Students use the provided array model to break each multiplication into parts and combine the partial products.\"},{\"question\":\"What are the answers for the six problems?\",\"answer\":\"The products are 4,347; 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