[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633042-105":59,"doc-detail-633042-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","order-of-operations-challenges-61-math-practice-exercises","Order of Operations Challenges 6.1 - Math Practice Exercises","","This document provides a comprehensive set of mathematical exercises focused on the order of operations for students. It includes a variety of challenges, such as inserting brackets into equations to achieve specific results, arranging given digits to satisfy mathematical equality, and applying various arithmetic operations to reach target values. The content is designed to strengthen logical reasoning and mathematical proficiency by encouraging active problem-solving. An answer key is also included at the end to facilitate self-assessment and checking of work, making it an excellent resource for classroom practice or homework assignments. The exercises are structured into three distinct categories, ranging from bracket insertion tasks to complex numerical rearrangement puzzles, ensuring a well-rounded learning experience for those practicing fundamental algebraic and arithmetic skills in a primary or middle school curriculum setting.",{"@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/order-of-operations-challenges-61-math-practice-exercises/633042/",{"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/order-of-operations-challenges-61-math-practice-exercises/633042.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine where to place brackets in the first exercise?","Question",{"text":112,"@type":113},"Brackets should be placed strategically to prioritize specific parts of the expression so that the final calculated value matches the result provided in the challenge.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are brackets necessary for all types of challenges in this document?",{"text":117,"@type":113},"No, brackets are not required for the second set of challenges where students must use specific digits to make the equation correct, though they are required for the first and third sets of challenges.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the objective of the third set of challenges?",{"text":121,"@type":113},"The objective is to use any of the four basic arithmetic operations along with brackets to transform a given sequence of numbers into a specified target value.","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},633042,1792671445,{"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":8,"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":129,"read_time":24},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Name Date  \nORDER OF OPERATIONS CHALLENGES 6.1  \nFor each question, put brackets in the correct places to make the calculation correct.  \n\n| 1) | 5 + 4 x 6 – 2 = 21 |\n| --- | --- |\n| 2) | 12 – 3 x 4 ÷ 2 = 18 |\n| 3) | 9 x 4 + 5 ÷ 3 – 2 = 25 |\n| 4) | 8 – 5 x 6 + 8 ÷ 2 = 21 |\n| 5) | 5 x 3 + 7 ÷ 11 – 6 = 10 |\n\nFor each question, use the digits in the correct places to make the equation correct. No brackets are needed!  \n\n| 6) | Use digits 4, 7 and 3. |   +   x   = 19 |\n| --- | --- | --- |\n| 7) | Use digits 3, 9, 8 and 2. |   x   –   ÷   = 13 |\n| 8) | Use digits 6, 4, 7 and 5. |   +   x   –   = 22 |\n| 9) | Use digits 2, 3, 8 and 6. |   –  x   +   = -8 |\n| 10) | Use digits 3, 4, 2 and 9. |   ÷   –  x   = -5 |\n\nFor each question, use any of the 4 operations and brackets to make the equation correct.  \n\n| 11) | 7 6 2 3 = -2 |\n| --- | --- |\n| 12) | 5 9 6 3 = 15 |\n\nName Date  \nORDER OF OPERATIONS CHALLENGES 6.1 ANSWERS  \nFor each question, put brackets in the correct places to make the calculation correct.  \n\n| 1) | 5 + 4 x (6 – 2) = 21 |\n| --- | --- |\n| 2) | (12 – 3) x (4 ÷ 2) = 18 |\n| 3) | 9 x (4 + 5) ÷ 3 – 2 = 25 |\n| 4) | (8 – 5) x (6 + 8) ÷ 2 = 21 |\n| 5) | 5 x (3 + 7) ÷ (11 – 6) = 10 |\n\n\n| 6) | Use digits 4, 7 and 3. | 7 + 3 x 4 = 19 or\u003Cbr>7 + 4 x 3 = 19 |\n| --- | --- | --- |\n| 7) | Use digits 3, 9, 8 and 2. | 8 x 2 – 9 ÷ 3 = 13 or\u003Cbr>2 x 8 – 9 ÷ 3 = 13 |\n| 8) | Use digits 6, 4, 7 and 5. | 5 + 6 x 4 – 7 = 22 |\n| 9) | Use digits 2, 3, 8 and 6. | 8 – 3 x 6 + 2 = -8 or\u003Cbr>8 – 6 x 3 + 2 = -8 |\n| 10) | Use digits 3, 4, 2 and 9. | 9 ÷ 3 – 4 x 2 = -5 or\u003Cbr>9 ÷ 3 – 2 x 4 = -5 |\n\n\n| 11) 7 – 6 x 2 + 3 = -2  or 7 – ( 6 x 2 ) + 3 = -2 |\n| --- |\n| 12) 5 x 9 ÷ ( 6 – 3 ) = 15  or ( 5 x 9 ) ÷ ( 6 – 3 ) = 15 |","cbCaisHgxBmwCs2U","https://ap.wps.com/l/cbCaisHgxBmwCs2U","pdf",155315,"English","# Bracket Placement Challenges\n## Digital Arrangement Puzzles\n## Open Operation Exercises\n# Answer Key","[{\"question\":\"How do you determine where to place brackets in the first exercise?\",\"answer\":\"Brackets should be placed strategically to prioritize specific parts of the expression so that the final calculated value matches the result provided in the challenge.\"},{\"question\":\"Are brackets necessary for all types of challenges in this document?\",\"answer\":\"No, brackets are not required for the second set of challenges where students must use specific digits to make the equation correct, though they are required for the first and third sets of challenges.\"},{\"question\":\"What is the objective of the third set of challenges?\",\"answer\":\"The objective is to use any of the four basic arithmetic operations along with brackets to transform a given sequence of numbers into a specified target value.\"}]","Order of Operations Challenges 6.1 - Math Practice Exercises | PDF"]