[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-636816-105":59,"doc-detail-636816-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","pemdas-challenges-51-math-practice-exercises","PEMDAS Challenges 5:1 - Math Practice Exercises","","This document provides a set of mathematical challenge exercises designed for 5th-grade students to practice the order of operations, specifically utilizing the PEMDAS rule (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). The exercises require students to strategically place specific sets of digits into provided mathematical expressions to achieve a target result of 30. By testing various combinations of multiplication, addition, and subtraction, learners develop a deeper understanding of operational priority and algebraic problem-solving. The resource includes a dedicated answer key, which highlights that multiple correct solutions may exist due to the commutative property of multiplication. These activities serve as an engaging tool for strengthening arithmetic proficiency, fostering logical reasoning, and reinforcing the foundational concepts of numerical sequencing and expression evaluation in a classroom or home-learning environment.",{"@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/pemdas-challenges-51-math-practice-exercises/636816/",{"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/pemdas-challenges-51-math-practice-exercises/636816.png","ImageObject",300,407,{"name":92,"@type":93},"Fans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the goal of the PEMDAS Challenges 5:1?","Question",{"text":112,"@type":113},"The goal is to arrange a specific set of given digits within a mathematical expression to result in a final answer of 30 for each challenge.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why might there be more than one correct solution to a challenge?",{"text":117,"@type":113},"Since multiplication is commutative (meaning a x b = b x a), different arrangements of the same numbers can yield the same result, leading to multiple valid solutions.",{"name":119,"@type":110,"acceptedAnswer":120},"What mathematical concepts are these exercises designed to reinforce?",{"text":121,"@type":113},"These exercises are designed to reinforce the PEMDAS order of operations and the properties of basic arithmetic operations such as addition, subtraction, and multiplication.","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},636816,1793073229,{"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":34,"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},5909892330395,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name Date  \nPEMDAS CHALLENGES 5:1  \nYour challenge is to place the digits in the correct place to make an answer of 30 each time.  \nCHALLENGE A:  \nUse the digits 7, 9 and 3  \nx   +    \nCHALLENGE B:  \nUse the digits 2, 4 and 7  \n  +   x    \nCHALLENGE C:  \nUse the digits 6, 9 and 4  \n  x   -    \nCHALLENGE D:  \nUse the digits 2, 7, 4, 1  \n  x   +   x    \nName Date  \nPEMDAS CHALLENGES 5:1 ANSWERS  \nThere is more than one solution to each challenge since a x b = b x a.  \nCHALLENGE A:  \nUse the digits 7, 9 and 3  \n7  x  3  +  9  \nCHALLENGE B:  \nUse the digits 2, 4 and 7  \n2 +  4 x  7  \nCHALLENGE C:  \nUse the digits 6, 9 and 4  \n4 x  9 -  6  \nCHALLENGE D:  \nUse the digits 2, 7, 4, 1  \n7 x  4 +  2 x  1","cbCaigaXJxPuEZJe","https://ap.wps.com/l/cbCaigaXJxPuEZJe","pdf",126784,"English","# PEMDAS Challenges 5:1\n## Challenge Exercises\n## Answer Key","[{\"question\":\"What is the goal of the PEMDAS Challenges 5:1?\",\"answer\":\"The goal is to arrange a specific set of given digits within a mathematical expression to result in a final answer of 30 for each challenge.\"},{\"question\":\"Why might there be more than one correct solution to a challenge?\",\"answer\":\"Since multiplication is commutative (meaning a x b = b x a), different arrangements of the same numbers can yield the same result, leading to multiple valid solutions.\"},{\"question\":\"What mathematical concepts are these exercises designed to reinforce?\",\"answer\":\"These exercises are designed to reinforce the PEMDAS order of operations and the properties of basic arithmetic operations such as addition, subtraction, and multiplication.\"}]","PEMDAS Challenges 5:1 - Math Practice Exercises | PDF",1792679143]