[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359275-105":59,"doc-detail-359275-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","integer-operations-error-analysis-b","Integer Operations - Error Analysis (B)","","Integer Operations—Error Analysis (B) provides nine problems where a student’s work contains a specific mistake in operations with integers. The directions require identifying the error, explaining why it occurs, and writing the correct solution. Common error types emphasized include sign rules for addition/subtraction, negative×negative multiplication, subtraction of a negative, negative÷negative division, handling 0 correctly, and evaluating expressions with absolute values. A final challenge focuses on interpreting a loss rate and computing the correct profit.",{"@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/integer-operations-error-analysis-b/359275/",{"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-operations-error-analysis-b/359275.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","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",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What kinds of mistakes are students asked to look for in this worksheet?","Question",{"text":113,"@type":114},"Students check for incorrect sign rules in addition/subtraction, negative×negative and negative÷negative results, mishandling subtraction of a negative, forgetting that 0×n=0 and 0÷n=0, and errors when evaluating absolute values.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should subtraction of a negative be handled?",{"text":118,"@type":114},"Subtracting a negative means adding the opposite: for example, 6 − (−9) becomes 6 + 9.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the correct approach for the absolute value problem 8?",{"text":122,"@type":114},"Evaluate absolute values first: |−5|=5 and |−3|=3, then add to get 5+3=8.","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},359275,1790193516,{"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},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n______________________________________  \nInteger Operations—Error Analysis (B)  \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. − 5 + (−6)  \nStudent's work: −5 + (−6) = 1  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n2. 6 − (−9)  \nStudent's work: 6 − (−9) = −3  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n3. −5 × (−7)  \nStudent's work: −5 × (−7) = −35  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n4. −48 ÷ (−8)  \nStudent's work: −48 ÷ (−8) = −6  \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)  \n5. −7 + 3  \nStudent's work: −7 + 3 = 4  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n6. −2 − (−8)  \nStudent's work: −2 − (−8) = −10  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n7. 0 ÷ (−6)  \nStudent's work: 0 ÷ (−6) = −6  \nWhat is the mistake?  \n_______________________________________________  \nCorrect answer:    \n8. |−5| + |−3|  \nStudent's work: |−5| + |−3| = −5 + (−3) = −8  \nWhat is the mistake?    \nCorrect answer:  \n___________  \n9. Challenge Problem  \nA student solved: 'A company lost $7 per hour for 5 hours, then earned $40 .'Student's work: 7 × 5 + 40 = 35 + 40 = $75 profit  \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.) −5 + (−6) → correct answer: − 11 | Error: Same signs: add the absolute values and keep the sign. 5+6=11, both negative → −11.  \n2.) 6 − (−9) → correct answer: 15 | Error: Subtracting a negative = adding its opposite. 6 − (−9) = 6 +  \n9 = 15.  \n3.) −5 × (−7) → correct answer: 35 | Error: Negative × negative = positive. −5 × −7 = +35.  \n4.) −48 ÷ (−8) → correct answer: 6 | Error: Negative ÷ negative = positive. −48 ÷ −8 = +6.  \n5.) −7 + 3 → correct answer: −4 | Error: Different signs: |7|−|3|=4, keep sign of larger absolute value → −4.  \n6.) −2 − (−8) → correct answer: 6 | Error: −2 − (−8) = −2 + 8 = 6.  \n7.) 0 ÷ (−6) → correct answer: 0 | Error: 0 ÷ any non-zero number = 0.  \n8.) |−5| + |−3| → correct answer: 8 | Error: Evaluate absolute value first: |−5|=5, |−3|=3 . Then 5 + 3 = 8.  \n9.) Challenge Problem:  \na) Did not make the rate negative (loss = −$7) . Should be −7 × 5 + 40.  \nb) −7 × 5 + 40 = −35 + 40 = $5 profit  \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)","cbCaiqP0iFLy5FGT","https://ap.wps.com/l/cbCaiqP0iFLy5FGT","pdf",411765,"English","# Integer Operations—Error Analysis (B)\n## Directions and common errors\n## Practice problems 1-8\n## Challenge Problem 9","[{\"question\":\"What kinds of mistakes are students asked to look for in this worksheet?\",\"answer\":\"Students check for incorrect sign rules in addition/subtraction, negative×negative and negative÷negative results, mishandling subtraction of a negative, forgetting that 0×n=0 and 0÷n=0, and errors when evaluating absolute values.\"},{\"question\":\"How should subtraction of a negative be handled?\",\"answer\":\"Subtracting a negative means adding the opposite: for example, 6 − (−9) becomes 6 + 9.\"},{\"question\":\"What is the correct approach for the absolute value problem 8?\",\"answer\":\"Evaluate absolute values first: |−5|=5 and |−3|=3, then add to get 5+3=8.\"}]","Integer Operations - Error Analysis (B) | PDF",1790136575]