[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-636780-105":3,"doc-detail-636780-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","using-parentheses-sheet-51-complex-calculations-answers","USING PARENTHESES SHEET 5:1 - Complex Calculations - Answers","","A worksheet focused on using parentheses to solve complex calculations where bracketed parts must be completed first. It includes worked examples showing that different parenthesis placement leads to different results. The main practice section asks learners to evaluate 16 increasingly complex expressions, including integer and decimal operations and nested parentheses. An additional task orders three larger expressions from smallest to largest, followed by a full answers section for self-checking.",{"@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/using-parentheses-sheet-51-complex-calculations-answers/636780/",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/using-parentheses-sheet-51-complex-calculations-answers/636780.png","ImageObject",300,407,{"name":42,"@type":43},"Well Done","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",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},"When should you evaluate parts inside parentheses in these problems?","Question",{"text":62,"@type":63},"Compute the bracketed section first, because it determines the next operation in the overall calculation.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Why do expressions like (4 + 3) × 6 and 4 + (3 × 6) give different answers?",{"text":67,"@type":63},"Parentheses change the grouping of operations, so different parts are calculated first, leading to different final results.",{"name":69,"@type":60,"acceptedAnswer":70},"What do learners do with the final set of three calculations?",{"text":71,"@type":63},"Work out the three expressions, then put them in order from smallest to largest.","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},636780,1793119559,{"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":26,"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},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","USING PARENTHESES SHEET 5:1  \nWhen you come across a complex calculation where there are brackets around part of the calculation, the part in brackets should be done first.  \nExample  \n(4 + 3) x 6 and 4 + (3 x 6) are two different calculations with two different answers:  \n(4 + 3) x 6 = 7 x 6 = 42 4 + (3 x 6) = 4 + 18 = 22 Work out the answers to these complex calculations.  \n1) 3 + (4 x 5) = 3 +   =   2) (5 + 4) x 3 =   x 3 =    \n3) 7 x (5 – 2) = 7 x   =   4) (9 – 6) x 8 =   x 8 =    \n5) (20 ÷ 4) + 8 =   + 8 =   6) 17 –(35 ÷ 5) = 17 –   =    \n7) (7 x 3)–(2 x 4) =   –   =   8) 14 –(3 x 5) =   –   =    \n9) (40 ÷ 5) + (3 x 9) =   +   =   10) (7 – 4) x 12 =   x   =    \nHarder section – you may need a calculator for these!  \n11) 2.5 –(0 .7 x 2) =   –   =   12) (4 .5 x 3)– 12 =   –   =    \n13) 6 –(1 .7 x 3) =   –   =   14) (4 . 2 ÷ 6) + 0.9 =   +   =    \n15) 200 –(14 .5 x 6) =   –   =   16) 78 ÷ (3 .75 x 8) =   x   =   \nWork out these 3 calculations, then put them in order, smallest first:  \n85 –(17 x 3) 200 ÷ (3 .7 + 6 .3) (4 .5 x 3) + (30 ÷ 4)  \nSmallest Largest  \nUSING PARENTHESES SHEET 5:1 ANSWERS  \n1) 3 + (4 x 5) = 3 + 20 = 23 2) (5 + 4) x 3 = 9 x 3 = 27  \n3) 7 x (5 – 2) = 7 x 3 = 21 4) (9 – 6) x 8 = 3 x 8 = 24  \n5) (20 ÷ 4) + 8 = 5 + 8 = 13 6) 17 –(35 ÷ 5) = 17 – 7 = 10  \n7) (7 x 3)–(2 x 4) = 21 – 8 = 13 8) 14 –(3 x 5) = 14 – 15 = –1  \n9) (40 ÷ 5) + (3 x 9) = 8 + 27 = 35 10) (7 – 4) x 12 = 3 x 12 = 36  \nHarder section – you may need a calculator for these!  \n11) 2.5 –(0 .7 x 2) = 2.5 – 1.4 = 1.1 12) (4 .5 x 3)– 12 = 13.5 – 12 = 1.5  \n13) 6 –(1 .7 x 3) = 6 – 5.1 = 0.9 14) (4 . 2 ÷ 6) + 0.9 = 0.7 + 0.9 = 1.6  \n15) 200 –(14 . 5 x 6) = 200 – 87 = 113 16) 78 ÷ (3 .75 x 8) = 78 ÷ 30 = 2.6  \nPut these 3 calculations in order, smallest first:  \n85 –(17 x 3)  \n= 85 – 51 = 34  \n200 ÷ (3.7 + 6.3)  \n200 ÷ (3.7 + 6.3)  \n= 200 ÷ 10 = 20  \n(4.5 x 3) + (30 ÷ 4)  \n(4.5 x 3) + (30 ÷ 4)  \n= 13.5 + 7.5 = 21  \n85 –(17 x 3)  \nSmallest Largest","cbCaig9BaXdvvz6X","https://ap.wps.com/l/cbCaig9BaXdvvz6X","pdf",209272,"English","# Using Parentheses\n## Practice Questions (Sheet 5:1)\n## Harder Section\n## Order From Smallest to Largest\n## Answers","[{\"question\":\"When should you evaluate parts inside parentheses in these problems?\",\"answer\":\"Compute the bracketed section first, because it determines the next operation in the overall calculation.\"},{\"question\":\"Why do expressions like (4 + 3) × 6 and 4 + (3 × 6) give different answers?\",\"answer\":\"Parentheses change the grouping of operations, so different parts are calculated first, leading to different final results.\"},{\"question\":\"What do learners do with the final set of three calculations?\",\"answer\":\"Work out the three expressions, then put them in order from smallest to largest.\"}]","USING PARENTHESES SHEET 5:1 - Complex Calculations - Answers | PDF",1792679064,5,{"code":4,"msg":81,"data":97},[98,102,106,109,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":107,"slug":108},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":95,"slug":143},19,"General","general"]