[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359277-105":59,"doc-detail-359277-en":135},{"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":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","integer-operationserror-analysis-a","Integer Operations—Error Analysis (A)","","Worksheet focused on identifying and correcting common mistakes in integer operations. Each item presents a student’s incorrect work for problems involving addition, subtraction with negatives, multiplication and division of negative integers, absolute values, and a challenge temperature change scenario. For every problem, students must explain the specific error type—such as sign rules, multiplying/dividing negatives, handling subtraction of a negative, and the rule that any number times 0 equals 0—then provide the correct solution. An answer key is included for verification.",{"@graph":69,"@context":127},[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/integer-operationserror-analysis-a/359277/",{"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/integer-operationserror-analysis-a/359277.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"What kinds of sign and operation mistakes are emphasized in this worksheet?","Question",{"text":113,"@type":114},"It highlights common errors like using the wrong sign rule for adding/subtracting with same or different signs, forgetting that negative × negative is positive, mishandling subtraction of a negative, and forgetting that 0 × n = 0.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should a student correct an error when subtracting a negative?",{"text":118,"@type":114},"The worksheet’s examples show that subtracting a negative means adding the opposite. For instance, 8 − (−5) should be 8 + 5 = 13.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the correct approach for the absolute value problem?",{"text":122,"@type":114},"Evaluate absolute values first, then combine them using the appropriate arithmetic. For example, |−8| + |3| becomes 8 + 3 = 11.",{"name":124,"@type":111,"acceptedAnswer":125},"How is the challenge temperature problem solved correctly?",{"text":126,"@type":114},"The worksheet indicates the student must treat “dropped 8°F” as adding a negative: −5 + (−8) + 14. This gives −13 + 14 = 1°F.","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},359277,1790469182,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":148,"read_time":39,"preview_page_count":4},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n______________________________________  \nInteger Operations—Error Analysis (A)  \nDirections: Each problem shows a student's work that contains an error. Find the mistake, explain it, and show the correct solution.  \nRemember: Common errors: wrong sign rule for same/different signs, forgetting that negative×negative=positive, treating subtraction of a negative incorrectly, forgetting that 0×n=0 .  \n1. −4 + (−3)  \nStudent's work: −4 + (−3) = 1  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n2. 8 − (−5)  \nStudent's work: 8 − (−5) = 3  \nWhat is the mistake?   Correct answer:    \n3. −6 × (−4)  \nStudent's work: −6 × (−4) = −24  \nWhat is the mistake?   Correct answer:    \n4. −36 ÷ (−9)  \nStudent's work: −36 ÷ (−9) = −4  \nWhat is the mistake?   Correct 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)  \n5. −9 + 4  \nStudent's work: −9 + 4 = 5  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n6. −3 − (−10)  \nStudent's work: −3 − (−10) = −13  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n7. 0 × (−7)  \nStudent's work: 0 × (−7) = −7  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n8. |−8| + |3|  \nStudent's work: |−8| + |3| = −8 + 3 = −5  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n9. Challenge Problem: A student solved this problem: 'The temperature was −5°F. It dropped 8°F and then rose 14°F.'  \nStudent's work: −5 + 8 + 14 = 17°F  \na) What mistake did the student make?    \nb) Show the correct solution    \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.) −4 + (−3) → correct answer: − 7 | Error: Same signs: add the absolute values and keep the sign.|−4|+|−3|=7, both negative → −7.  \n2.) 8 − (−5) → correct answer: 13 | Error: Subtracting a negative = adding its opposite. 8 − (−5) = 8 +  \n5 = 13.  \n3.) −6 × (−4) → correct answer: 24 | Error: Negative × negative = positive. −6 × −4 = +24.  \n4.) −36 ÷ (−9) → correct answer: 4 | Error: Negative ÷ negative = positive. −36 ÷ −9 = +4.  \n5.) −9 + 4 → correct answer: − 5 | Error: Different signs: |9|−|4|=5, keep sign of larger absolute value → −5.  \n6.) −3 − (−10) → correct answer: 7 | Error: −3 − (−10) = −3 + 10 = 7.  \n7.) 0 × (−7) → correct answer: 0 | Error: Any number × 0 = 0.  \n8.) |−8| + |3| → correct answer: 11 | Error: Evaluate absolute value first: |−8|=8, |3|=3 . Then 8 + 3 = 11.  \n9.) Challenge Problem:  \na) Did not make 'dropped' negative. Should be −5 + (−8) + 14.  \nb) −5 + (−8) + 14 = −13 + 14 = 1°F  \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)","cbCaikozNJiRiTXN","https://ap.wps.com/l/cbCaikozNJiRiTXN","pdf",717704,"English","# Integer Operations—Error Analysis (A)\n## Problems 1-8\n## Challenge Problem 9","[{\"question\":\"What kinds of sign and operation mistakes are emphasized in this worksheet?\",\"answer\":\"It highlights common errors like using the wrong sign rule for adding/subtracting with same or different signs, forgetting that negative × negative is positive, mishandling subtraction of a negative, and forgetting that 0 × n = 0.\"},{\"question\":\"How should a student correct an error when subtracting a negative?\",\"answer\":\"The worksheet’s examples show that subtracting a negative means adding the opposite. For instance, 8 − (−5) should be 8 + 5 = 13.\"},{\"question\":\"What is the correct approach for the absolute value problem?\",\"answer\":\"Evaluate absolute values first, then combine them using the appropriate arithmetic. For example, |−8| + |3| becomes 8 + 3 = 11.\"},{\"question\":\"How is the challenge temperature problem solved correctly?\",\"answer\":\"The worksheet indicates the student must treat “dropped 8°F” as adding a negative: −5 + (−8) + 14. This gives −13 + 14 = 1°F.\"}]","Integer Operations—Error Analysis (A) | PDF",1790136578]