[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-632194-105":59,"doc-detail-632194-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","multiplication-2-digits-by-2-digits-challenge-3","Multiplication - 2-Digits By 2-Digits Challenge 3","","This educational resource provides advanced mathematical exercises focused on 2-digit by 2-digit multiplication. The document contains two specific challenges where students must strategically use the digits 5, 6, 7, and 8 to achieve target multiplication products or approximate values. Designed for 4th-grade students, these tasks help strengthen logical reasoning, number sense, and arithmetic fluency. Detailed answer keys are included to assist teachers and students in verifying calculations and understanding the commutative properties of multiplication, ensuring a comprehensive learning experience for mastering complex multi-digit multiplication problems.",{"@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/multiplication-2-digits-by-2-digits-challenge-3/632194/",{"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/multiplication-2-digits-by-2-digits-challenge-3/632194.png","ImageObject",300,407,{"name":92,"@type":93},"Noah","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the target digits to be used in these multiplication challenges?","Question",{"text":112,"@type":113},"Students are required to use the digits 5, 6, 7, and 8 for all provided multiplication exercises.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the goal of the first challenge?",{"text":117,"@type":113},"The goal is to arrange the digits 5, 6, 7, and 8 to result in a specific product of 3886.",{"name":119,"@type":110,"acceptedAnswer":120},"Why does the answer key note that multiplication is commutative?",{"text":121,"@type":113},"The commutative property implies that the order of the two numbers being multiplied does not affect the final product, meaning 58 x 67 and 67 x 58 yield the same result.","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},632194,1792876755,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},8796095462418,"https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780","Name Date  \nMULTIPLICATION: 2-DIGITS BY 2-DIGITS CHALLENGE 3  \nUse your 2-digit multiplication skills to help you with these challenges.  \n1) Use the digits 5, 6, 7 and 8 in the spaces below to make the answer 3886.  \n\n|  |  |\n| --- | --- |\n\nx  \n\n|  |  |\n| --- | --- |\n\n=  \n3886  \n2) Use the digits: 5, 6, 7, and 8 in the spaces below to make an answer as close to 6500 as possible.  \n\n|  |  |\n| --- | --- |\n\nx  \n\n|  |  |\n| --- | --- |\n\nIs as close to 6500 as possible.  \nName Date  \nMULTIPLICATION: 2-DIGITS BY 2-DIGITS CHALLENGE 3 ANSWERS  \nPlease note that as multiplication is commutative, the answers can be in either order.  \n1) Use the digits 5, 6, 7 and 8 in the spaces below to make the answer 3886.  \n\n| 5 | 8 |\n| --- | --- |\n\nx  \n\n| 6 | 7 |\n| --- | --- |\n\n=  \n3 88 6  \n2) Use the digits: 5, 6, 7, and 8 in the spaces below to make an answer as close to 6500 as possible.  \n\n| 7 | 6 |\n| --- | --- |\n\nx  \n\n| 8 | 5 |\n| --- | --- |\n\n=  \n6 46 0","cbCailz5gpM3SODA","https://ap.wps.com/l/cbCailz5gpM3SODA","pdf",184342,"English","# Multiplication Challenges\n## Problem 1: Target Product Calculation\n## Problem 2: Approximation Exercise\n# Answer Key\n## Solution to Problem 1\n## Solution to Problem 2","[{\"question\":\"What are the target digits to be used in these multiplication challenges?\",\"answer\":\"Students are required to use the digits 5, 6, 7, and 8 for all provided multiplication exercises.\"},{\"question\":\"What is the goal of the first challenge?\",\"answer\":\"The goal is to arrange the digits 5, 6, 7, and 8 to result in a specific product of 3886.\"},{\"question\":\"Why does the answer key note that multiplication is commutative?\",\"answer\":\"The commutative property implies that the order of the two numbers being multiplied does not affect the final product, meaning 58 x 67 and 67 x 58 yield the same result.\"}]","Multiplication - 2-Digits By 2-Digits Challenge 3 | PDF",1792670057]