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Order of Operations - Error Analysis","","Practice worksheet for evaluating statements about order of operations using true/false questions on 13 arithmetic expressions. Students circle True or False, and if the choice is False they must provide the correct value and explain the mistake in one sentence. An answer key lists each problem’s correct outcome and a brief explanation, emphasizing parentheses first, then multiplication/division, and finally addition/subtraction in left-to-right order.",{"@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/true-or-false-order-of-operations-error-analysis-361390/361390/",{"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/true-or-false-order-of-operations-error-analysis-361390/361390.png","ImageObject",300,407,{"name":92,"@type":93},"Stanley","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What should students do if their answer is False?","Question",{"text":112,"@type":113},"If the choice is False, students write the correct value and provide a one-sentence explanation of the mistake.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which operation should be done first in these problems?",{"text":117,"@type":113},"Operations inside parentheses should be completed first.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the answer key explain correct results?",{"text":121,"@type":113},"The key checks the required order—parentheses first, then multiplication/division left to right, then addition/subtraction left to right—and gives a short explanation for each item.","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},361390,1790240292,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},2336477405376,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:  \n_____________________________________  \nTrue or False? Order of Operations (Error Analysis) Directions: Each student solved a problem.  \nCircle True/ False. If False, write the correct value and explain the mistake in one sentence.  \n1. Problem: 9 + 4 × 6  \nStudent work: 9 + 4 × 6 = 9 + 24 = 33 True / False Correct value:   One-sentence explanation:  \n2. Problem: 36 ÷ 6 + 7  \nStudent work: 36 ÷ 6 + 7 = 6 + 7 = 13 True / False Correct value:   One-sentence explanation:  \n3. Problem: 8 × (10 − 3)  \nStudent work: 8 × (10 − 3) = 8 × 10 − 3 = 77 True / False Correct value:   One-sentence explanation:  \n4. Problem: (18 + 6) ÷ 3  \nStudent work: (18 + 6) ÷ 3 = 24 ÷ 3 = 8 True / False Correct value:   One-sentence explanation:  \n1  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n5. Problem: 20 − 12 ÷ 4  \nStudent work: 20 − 12 ÷ 4 = 20 − 3 = 17 True / False Correct value:   One-sentence explanation:  \n6. Problem: 7 + 24 ÷ 8 × 2  \nStudent work: 7 + 24 ÷ 8 × 2 = 7 + 3 × 2 = 13 True / False Correct value:   One-sentence explanation:  \n7. Problem: (15 − 9) × 5  \nStudent work: (15 − 9) × 5 = 7 × 5 = 35  \nTrue / False Correct value:    \nOne-sentence explanation:  \n8. Problem: 48 ÷ (12 − 4)  \nStudent work: 48 ÷ (12 − 4) = 48 ÷ 8 = 6 True / False Correct value:   One-sentence explanation:  \n9. Problem: 30 − 6 × 3 + 2  \nStudent work: 30 − 6 × 3 + 2 = 30 − 18 + 2 = 14 True / False Correct value:    \nOne-sentence explanation:  \n2  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n10. Problem: 50 ÷ 5 × 2  \nStudent work: 50 ÷ 5 × 2 = 50 ÷ 10 = 5  \nTrue / False Correct value:   One-sentence explanation:  \n11. Problem: 6 + (18 ÷ 3) × 2  \nStudent work: 6 + (18 ÷ 3) × 2 = 6 + 6 × 2 = 18  \nTrue / False Correct value:   One-sentence explanation:  \n12. Problem: (24 ÷ 6) + (14 − 9)  \nStudent work: (24 ÷ 6) + (14 − 9) = 4 + 5 = 9 True / False Correct value:   One-sentence explanation:  \nChallenge Problem (13)  \n13. Problem: 4 + 36 ÷ 6 × 3 − 5  \nStudent work: 4 + 36 ÷ 6 × 3 − 5 = 4 + 6 × 3 − 5  \n= 4 + 18 − 5  \n= 17  \nTrue / False Correct value:    \nOne-sentence explanation:  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at ](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)[www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n3  \nAnswer Key  \n1. True—Correct value: 33  \nExplanation: Multiply first (4 × 6 = 24), then add 9.  \n2. True—Correct value: 13  \nExplanation: Divide first (36 ÷ 6 = 6), then add 7.  \n3. False—Correct value: 56  \nExplanation: Do what’s inside parentheses first: (10 − 3) = 7, then 8 × 7 = 56.  \n4. True—Correct value: 8  \nExplanation: Add inside parentheses first (18 + 6 = 24), then divide by 3.  \n5. True—Correct value: 17  \nExplanation: Divide first (12 ÷ 4 = 3), then subtract from 20.  \n6. True—Correct value: 13  \nExplanation: Divide then multiply left to right (24 ÷ 8 = 3, 3 × 2 = 6), then add 7.  \n7. False—Correct value: 30  \nExplanation: Subtract inside parentheses first (15 − 9 = 6), then multiply by 5.  \n8. True—Correct value: 6  \nExplanation: Subtract inside parentheses first (12 − 4 = 8), then 48 ÷ 8 = 6.  \n9. True—Correct value: 14  \nExplanation: Multiply first (6 × 3 = 18), then do subtraction/addition left to right: 30 − 18 + 2.  \n10. False—Correct value: 20  \nExplanation: Multiply/divide left to right: 50 ÷ 5 = 10, then 10 × 2 = 20 (not 50 ÷ 10) .  \n11. True—Correct value: 18  \nExplanation: Do division in parentheses first (18 ÷ 3 = 6), then multiply by 2, then add 6.  \n12. True—Correct value: 9  \nExplanation: Evaluate each parentheses first: 24 ","cbCailKOe4jrXWKF","https://ap.wps.com/l/cbCailKOe4jrXWKF","pdf",1506861,"English","# Directions\n## Student Work Format\n# Problems\n## Basic Problems 1-12\n## Challenge Problem 13\n# Answer Key","[{\"question\":\"What should students do if their answer is False?\",\"answer\":\"If the choice is False, students write the correct value and provide a one-sentence explanation of the mistake.\"},{\"question\":\"Which operation should be done first in these problems?\",\"answer\":\"Operations inside parentheses should be completed first.\"},{\"question\":\"How does the answer key explain correct results?\",\"answer\":\"The key checks the required order—parentheses first, then multiplication/division left to right, then addition/subtraction left to right—and gives a short explanation for each item.\"}]","True or False? Order of Operations - Error Analysis | PDF",1790144169]