[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-358850-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-358850-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","decimal-operations-error-analysis-a","Decimal Operations - Error Analysis (A)","","Practice worksheet focused on identifying and correcting mistakes in decimal arithmetic. Each problem provides a student’s incorrect work for addition, subtraction, multiplication, and division of decimals, followed by a prompt to explain the error and write the correct solution. Common error patterns are emphasized, including aligning decimal points, placing decimals correctly after multiplication, and adjusting both numbers when dividing by a decimal. An additional challenge item reinforces decimal alignment and accurate computation.",{"@graph":14,"@context":73},[15,34,56],{"@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/decimal-operations-error-analysis-a/358850/",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/decimal-operations-error-analysis-a/358850.png","ImageObject",300,407,{"name":42,"@type":43},"Ophelia","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-23",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",15,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What common errors does the worksheet emphasize for decimal work?","Question",{"text":63,"@type":64},"It highlights aligning decimal points for addition and subtraction, correct decimal placement for multiplication, and adjusting both numbers when dividing by a decimal.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How should students correct the error in addition problems like 3.4 + 0.56?",{"text":68,"@type":64},"They must align decimal points correctly before adding hundredths, producing 3.40 + 0.56 = 3.96.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the key approach for division problems such as 1.8 ÷ 0.6?",{"text":72,"@type":64},"Multiply both numbers by the same power of 10 so the divisor becomes a whole number, e.g., 18 ÷ 6 = 3.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},358850,1790198083,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":111,"preview_page_count":4},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","Name:  \n______________________________________  \nDecimal Operations—Error Analysis (A)  \nDirections: Each problem below shows a student's work that contains an error. Find the mistake, explain it, and show the correct solution.  \nRemember: Common errors: not aligning decimal points when adding or subtracting, incorrect decimal placement when multiplying, not adjusting both numbers when dividing by a decimal.  \n1. 3.4 + 0.56  \nStudent's work: 3.4 + 0.56 → 34 + 56 = 90 → answer: 9.0  \nWhat is the mistake?   Correct answer:    \n2. 5.2 − 0.48  \nStudent's work: 5.2 − 0.48 → 52 − 48 = 4 → answer: 0.4  \nWhat is the mistake?   Correct answer:    \n3. 4.5 × 3  \nStudent's work: 45 × 3 = 135, placed 2 decimal places → answer: 1.35  \nWhat is the mistake?   Correct answer:    \n4. 1.8 ÷ 0.6  \nStudent's work: 1.8 ÷ 0.6 → 1.8 ÷ 6 = 0.3  \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. 0.96 + 0.48  \nStudent's work: 6 + 8 = 14, write 4; then 9 + 4 = 13 → answer: 1.34  \nWhat is the mistake?   Correct answer:    \n6. 8.3 − 4.75  \nStudent's work: 8.30 − 4.75: → answer: 4.45  \nWhat is the mistake?   Correct answer:    \n7. 0.7 × 0.8  \nStudent's work: 7 × 8 = 56, so 0.7 × 0.8 = 56  \nWhat is the mistake?   Correct answer:    \n8. 3.6 ÷ 4  \nStudent's work: 36 ÷ 4 = 9, so 3.6 ÷ 4 = 9  \nWhat is the mistake?   Correct answer:    \n9. Challenge Problem  \nA student solved 2.5 + 0.75 and got 1.00.  \nStudent's work: 2.5 + 0.75 → 25 + 75 = 100 → 1.00  \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.) 3.4 + 0.56 = 3.96 | Error: Decimal points were not aligned. 3.40 + 0.56 = 3.96.  \n2.) 5.2 − 0.48 = 4.72 | Error: Decimal points were not aligned. 5.20 − 0.48 = 4.72.  \n3.) 4.5 × 3 = 13.5 | Error: 4.5 has 1 decimal place; 3 has 0. Total: 1 decimal place. 135 → 13.5.  \n4.) 1.8 ÷ 0.6 = 3 | Error: Multiply BOTH by 10: 18 ÷ 6 = 3. Both numbers must be multiplied by the same power of 10.  \n5.) 0.96 + 0.48 = 1.44 | Error: 6 + 8 = 14: write 4, carry 1. Then 9 + 4 + 1 = 14: write 4, carry 1. Answer: 1.44.  \n6.) 8.3 − 4.75 = 3.55 | Error: You must borrow, not flip digits. 8.30 − 4.75 = 3.55.  \n7.) 0.7 × 0.8 = 0.56 | Error: Forgot to place the decimal point. 2 total decimal places. 56 → 0.56.  \n8.) 3.6 ÷ 4 = 0.9 | Error: The decimal point in the quotient goes directly above the decimal in the dividend. 3.6 ÷ 4 = 0.9.  \n9.) Challenge Problem:  \na) Decimal points were not aligned. (2 .50 + 0.75 = 3.25, not 1.00)  \nb) 3.25 (2 .50 + 0.75 = 3.25)  \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)","cbCainTFOmXfqX8P","https://ap.wps.com/l/cbCainTFOmXfqX8P","pdf",849479,"English","# Directions\n# Problems\n## Addition and Subtraction\n## Multiplication\n## Division\n## Challenge Problem","[{\"question\":\"What common errors does the worksheet emphasize for decimal work?\",\"answer\":\"It highlights aligning decimal points for addition and subtraction, correct decimal placement for multiplication, and adjusting both numbers when dividing by a decimal.\"},{\"question\":\"How should students correct the error in addition problems like 3.4 + 0.56?\",\"answer\":\"They must align decimal points correctly before adding hundredths, producing 3.40 + 0.56 = 3.96.\"},{\"question\":\"What is the key approach for division problems such as 1.8 ÷ 0.6?\",\"answer\":\"Multiply both numbers by the same power of 10 so the divisor becomes a whole number, e.g., 18 ÷ 6 = 3.\"}]","Decimal Operations - Error Analysis (A) | PDF",1790135471]