[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361021-105":59,"doc-detail-361021-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","order-of-operations-error-analysis-b","Order of Operations - Error Analysis (B)","","Order of Operations—Error Analysis (B) presents ten worked student problems involving exponents, multiplication/division, addition/subtraction, and parentheses. Each item shows an incorrect solution and asks students to identify the specific order-of-operations mistake, then write the correct answer in the provided space. An answer key follows, stating the correct result and explaining why the student’s computation violated priority rules such as left-to-right for equal precedence and innermost parentheses first.",{"@graph":69,"@context":123},[70,84,106],{"@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-error-analysis-b/361021/",{"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-error-analysis-b/361021.png","ImageObject",300,407,{"name":92,"@type":93},"Đào","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does each problem ask students to do?","Question",{"text":113,"@type":114},"Identify the order-of-operations mistake in the student’s work and write the correct answer in the blank.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the worksheet treat multiplication and division?",{"text":118,"@type":114},"Multiplication and division have equal priority, so computations must proceed left to right.",{"name":120,"@type":111,"acceptedAnswer":121},"How should parentheses and exponents be handled?",{"text":122,"@type":114},"Evaluate the innermost parentheses first, and apply exponents to the correct base before multiplying or combining with other terms.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},361021,1790153327,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:  \n______________________________________  \nOrder of Operations—Error Analysis (B)  \nDirections: Each problem shows a student’s work that contains an order of operations mistake. Identify the mistake and write the correct answer.  \n1. 2 + 5 × 3  \nStudent’s work: 2 + 5 × 3 = 7 × 3 = 21  \nWhat is the mistake?    \nCorrect answer:    \n2. 36 ÷ 6 × 3  \nStudent’s work: 36 ÷ 6 × 3 = 36 ÷ 18 = 2  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n3. (4 + 6) × 3 − 5  \nStudent’s work: (4 + 6) × 3 − 5 = 4 + 6 × 3 − 5 = 4 + 18 − 5 = 17  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n4. 8 + 4 × 5 − 6  \nStudent’s work: 8 + 4 × 5 − 6 = 12 × 5 − 6 = 60 − 6 = 54  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n5. 5 × 3²  \nStudent’s work: 5 × 3² = 15² = 225  \nWhat is the mistake?    \nCorrect answer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n6. 15 − 6 + 4  \nStudent’s work: 15 − 6 + 4 = 15 − 10 = 5  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n7. 3² + (2 + 4) × 3  \nStudent’s work: 3² + (2 + 4) × 3 = 3² + 2 + 4 × 3 = 9 + 2 + 12 = 23  \nWhat is the mistake?   Correct answer:    \n8. 5 + 2³ × 3  \nStudent’s work: 5 + 2³ × 3 = 5 + 6³ = 5 + 216 = 221  \nWhat is the mistake?   Correct answer:    \n9. 4 × ((8 − 3) + 1)  \nStudent’s work: 4 × ((8 − 3) + 1) = 4 × (8 − (3 + 1)) = 4 × (8 − 4) = 4 × 4 = 16 What is the mistake?    \nCorrect answer:  \n___________  \n10. 3² + 4² − 5 × 3  \nStudent’s work: 3² + 4² − 5 × 3 = 7² − 5 × 3 = 49 − 15 = 34  \nWhat is the mistake?    \nCorrect answer:  \n___________  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) Correct: 17 (5×3=15; 2+15=17) | Mistake: Added 2+5=7 before multiplying. Multiplication must come before addition.  \n2.) Correct: 18 (36÷6=6; 6×3=18) | Mistake: Multiplied 6×3=18 first, then divided. Division and multiplication have equal priority—always work left to right.  \n3.) Correct: 25 ((4+6)=10; 10×3=30; 30−5=25) | Mistake: Dropped the parentheses and multiplied only 6×3 . Must evaluate (4+6)=10 before multiplying.  \n4.) Correct: 22 (4×5=20; 8+20−6=22) | Mistake: Added 8+4=12 before multiplying. Must evaluate 4×5=20 first.  \n5.) Correct: 45 (3²=9; 5×9=45) | Mistake: Multiplied 5×3=15 before applying the exponent. The exponent applies only to base 3: evaluate 3²=9 first.  \n6.) Correct: 13 (15−6=9; 9+4=13) | Mistake: Added 6+4=10 before subtracting. Addition and subtraction have equal priority—work left to right: 15−6=9 first.  \n7.) Correct: 27 (3²=9; (2+4)=6; 6×3=18; 9+18=27) | Mistake: Dropped the parentheses and evaluated 2 and 4 separately. Must group (2+4)=6 before multiplying by 3.  \n8.) Correct: 29 (2³=8; 8×3=24; 5+24=29) | Mistake: Multiplied 2×3=6 before applying the exponent. The exponent applies to base 2 only: evaluate 2³=8 first.  \n9.) Correct: 24 (inner: 8−3=5; 5+1=6; 4×6=24) | Mistake: Worked outside-in, combining −3 and +1 into −(3+1)=−4 . Must evaluate innermost first: (8−3)=5, then 5+1=6 .  \n10.) Correct: 10 (3²=9; 4²=16; 5×3=15; 9+16−15=10) | Mistake: Added the bases 3+4=7 and squared the sum instead of squaring each base separately. 3² and 4² must each be evaluated independently.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaibvr7EVeuPGb","https://ap.wps.com/l/cbCaibvr7EVeuPGb","pdf",412937,"English","# Directions\n# Student Work Problems\n## Problem 1\n## Problem 2\n## Problem 3\n## Problem 4\n## Problem 5\n## Problem 6\n## Problem 7\n## Problem 8\n## Problem 9\n## Problem 10\n# Answer Key","[{\"question\":\"What does each problem ask students to do?\",\"answer\":\"Identify the order-of-operations mistake in the student’s work and write the correct answer in the blank.\"},{\"question\":\"How does the worksheet treat multiplication and division?\",\"answer\":\"Multiplication and division have equal priority, so computations must proceed left to right.\"},{\"question\":\"How should parentheses and exponents be handled?\",\"answer\":\"Evaluate the innermost parentheses first, and apply exponents to the correct base before multiplying or combining with other terms.\"}]","Order of Operations - Error Analysis (B) | PDF",1790142703]