[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-636781-105":59,"doc-detail-636781-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","using-parentheses-sheet-52","Using Parentheses - Sheet 5.2","","This educational document provides a structured set of practice exercises focused on the mathematical order of operations, specifically utilizing parentheses in complex calculations. Designed for students, the sheet includes 24 diverse arithmetic problems ranging from basic integer operations to more advanced decimal calculations labelled as 'Calculator Challenges'. Furthermore, the document incorporates an ordering task to develop comparative skills among mathematical expressions. Complete answer keys are provided to facilitate self-assessment and verification of the solution steps, ensuring students can effectively master algebraic grouping symbols and procedural 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task.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of numbers are used in the calculator challenges?",{"text":121,"@type":113},"The calculator challenges involve decimal numbers, requiring students to apply the order of operations consistently while handling non-integer values and multi-step computational procedures.","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},636781,1793119370,{"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":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},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","USING PARENTHESES SHEET 5:2  \nWork out these complex calculations.  \n1) (4 + 7) x 3 =   2) 12 –(2 x 5) =   3) (60 ÷ 10)– 8 =    \n4) 25 + (3 x 8) =   5) 10 ÷ (17 – 15) =   6) 3 x (12 – 4) =    \n7) 9 –(2 x 7) =   8) (24 ÷ 6)– 10 =   9) ½ x (20 – 4) =    \n10) (9 x 6)– 42 =   11) 50 –(4 x 9) =   12) 27 ÷ (81 ÷ 9) =    \n13) (5 x 11)–(3 x 20) =   14) (30 – 12) x (20 ÷ 10) =    \n15) (16 + 11)–(5 x 6) =   16) (8 x 6) ÷ (1 . 5 + 2 . 5) =    \nCALCULATOR CHALLENGES  \n17) 67.5 –(2 . 7 x 9) =   18) (17 .8 + 27 .4) x 19 =    \n19) 6000 –(172 .95 x 12) =   20) (5250 ÷ 25)– 190.9 =    \n21) 3728 + (165.75 x 4) = _______ 22) 3750 –(872.4 x 4) = ______  \n23) (28 x 37)–(65 x 16) = _______ 24) (6720 ÷ 100) + (17.5 x 8) = _______  \nPut these expressions in order from smallest to largest value:  \n1.75 –(8 . 2 ÷ 4) (0 . 35 x 5)–(3 . 5 ÷ 5) 8 –(1 . 63 x 6)  \nSmallest Largest  \nUSING PARENTHESES SHEET 5:2 ANSWERS  \n1) (4 + 7) x 3 = 33 2) 12 –(2 x 5) = 2 3) (60 ÷ 10)– 8 = –2  \n4) 25 + (3 x 8) = 49 5) 10 ÷ (17 – 15) = 5 6) 3 x (12 – 4) = 24  \n7) 9 –(2 x 7) = –5 8) (24 ÷ 6)– 10 = –6 9) ½ x (20 – 4) = 8  \n10) (9 x 6)– 42 = 12 11) 50 –(4 x 9) = 14 12) 27 ÷ (81 ÷ 9) = 3  \n13) (5 x 11)–(3 x 20) = –5 14) (30 – 12) x (20 ÷ 10) = 36  \n15) (16 + 11)–(5 x 6) = –3 16) (8 x 6) ÷ (1 . 5 + 2 . 5) = 12  \nCALCULATOR CHALLENGES  \n17) 67.5 –(2 . 7 x 9) = 43.2 18) (17 .8 + 27 .4) x 19 = 858.8  \n19) 6000 –(172 .95 x 12) = 3924.6 20) (5250 ÷ 25)– 190.9 = 19.1  \n21) 3728 + (165 . 75 x 4) = 4391 22) 3750 –(872 .4 x 4) = 260.4  \n23) (28 x 37)–(65 x 16) = –4 24) (6720 ÷ 100) + (17 . 5 x 8) = 207.2  \nPut these expressions in order from smallest to largest value:  \n4.75 –(8.2 ÷ 4)  \n= 4.75 – 2.05 = 2.7  \n(1.35 x 5)–(3.5 ÷ 5)  \n= 6.75 – 0.7 = 6.05  \n8 –(0.63 x 6)  \n= 8 – 3.78 = 4.22  \n4.75 –(8.2 ÷ 4)  \n8 –(0.63 x 6)  \n(1.35 x 5)–(3.5 ÷ 5)  \nSmallest Largest","cbCaieuyPsc9DZ2T","https://ap.wps.com/l/cbCaieuyPsc9DZ2T","pdf",183861,"English","# Parentheses Practice Exercises\n## Basic Calculations\n## Calculator Challenges\n## Ordering Expressions\n# Answer Key","[{\"question\":\"What is the correct way to solve expressions with parentheses?\",\"answer\":\"According to the order of operations, you must perform the calculations inside the parentheses first, before proceeding to other operations like multiplication, division, addition, or subtraction outside the parentheses.\"},{\"question\":\"Are the answers included in this document?\",\"answer\":\"Yes, the document provides a comprehensive answer key for all 24 problems, including the results for the calculator challenge section and the step-by-step resolution for the ordering task.\"},{\"question\":\"What types of numbers are used in the calculator challenges?\",\"answer\":\"The calculator challenges involve decimal numbers, requiring students to apply the order of operations consistently while handling non-integer values and multi-step computational procedures.\"}]","Using Parentheses - Sheet 5.2 | PDF",1792679066]