[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361495-105":59,"doc-detail-361495-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","word-problems-with-large-numbers-answer-key-challenge-problem-error-analysis","Word Problems with Large Numbers - Answer Key - Challenge Problem: Error Analysis","","Word Problems with Large Numbers presents 11 multi-step grade-level math applications about railroads and transportation, requiring students to interpret place value, compute totals across days and passengers, find averages, multiply per-mile or per-hour rates, and calculate fuel, shipping, and ticket earnings. A challenge section performs error analysis by identifying an addition mistake in combined monthly earnings and determining the correct total, supported by a complete answer key.",{"@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/word-problems-with-large-numbers-answer-key-challenge-problem-error-analysis/361495/",{"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/word-problems-with-large-numbers-answer-key-challenge-problem-error-analysis/361495.png","ImageObject",300,407,{"name":92,"@type":93},"Stanford","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does Question 1 ask about the number 3,069 miles, and what is the correct value?","Question",{"text":112,"@type":113},"It asks for the value of the digit 3 in the thousands place. The correct value is 3,000.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you compute the total cargo carried over Monday and Tuesday in Question 2?",{"text":117,"@type":113},"Add the pounds for both days: 48,500 + 37,800. The total is 86,300 pounds.",{"name":119,"@type":110,"acceptedAnswer":120},"What mistake does the student make in the challenge problem, and what is the correct combined earnings?",{"text":121,"@type":113},"The student subtracts instead of adding when combining $1,350,000 and $875,000. The correct total is $2,225,000.","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},361495,1790488879,{"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":34,"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},2336477552062,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","# Name:  \n\nWord Problems with Large NumbersDirections: Read each word problem carefully.  \nFor each problem, use what you know about large numbers to solve.  \n1.  \nThe transcontinental railroad stretches 3,069 miles across the country.What is the value of the digit 3 in the thousands place?  \nAnswer:    \n2.  \nA freight train carries 48,500 pounds on Monday and 37,800 pounds on Tuesday.How many total pounds of cargo does it carry over both days?  \nAnswer:    \n3.  \nA high-speed train travels 186 miles per hour.  \nHow far does it travel in 24 hours?  \nAnswer:    \n4.  \nThe railroad earned $2,760,000 in ticket sales over 8 months.  \nWhat was the average monthly earnings?  \nAnswer:    \n5.  \nA train station served 1,250,000 passengers last year and 980,000 the year before.How many more passengers did it serve last year?  \nAnswer:    \n6.  \nThe railroad uses 2,340 railroad ties per mile of track.  \nHow many ties are needed for a 45-mile stretch of new track?  \nAnswer:    \n1  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n7.  \nA maintenance crew must inspect 1,176 miles of track split equally among 6 crews.How many miles does each crew inspect?  \nAnswer:    \n8.  \nLast year 4,320,000 tons of goods were shipped by rail across all 12 months.What was the average amount shipped per month?  \nAnswer:    \n9.  \nA rail yard has 36 tracks with 125 rail cars on each track.How many total rail cars are in the yard?  \nAnswer:    \n10.  \nA diesel engine uses 280 gallons of fuel per day.How many gallons does it use over 365 days?  \nAnswer:    \n11.  \nA railroad company bought 3 new locomotives for $1,250,000 each.What was the total cost of all three locomotives?  \n# Answer:  \n\nChallenge Problem – Error Analysis  \nA student solved this problem:  \nA railroad earned $1,350,000 in March and $875,000 in April.  \nA student says the combined earnings are $1,125,000 .  \nThe student calculated $1,350,000 + $875,000 = $1,125,000 .  \nFind their mistake, explain what they did wrong, and find the correct total.  \nCorrect answer:    \n2  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com  \n3  \nANSWER KEY  \n1. 3,000  \n2. 86,300 pounds (48,500 + 37,800 = 86,300)  \n3. 4,464 miles (186 × 24 = 4,464)  \n4. $345,000 ($2,760,000 ÷ 8 = $345,000)  \n5. 270,000 more passengers (1,250,000 − 980,000 = 270,000)  \n6. 105,300 ties (2,340 × 45 = 105,300)  \n7. 196 miles (1,176 ÷ 6 = 196)  \n8. 360,000 tons (4,320,000 ÷ 12 = 360,000)  \n9. 4,500 rail cars (36 × 125 = 4,500)  \n10. 102,200 gallons (280 × 365 = 102,200)  \n11. $3,750,000 (3 × $1,250,000 = $3,750,000)  \nChallenge: $2,225,000 ($1,350,000 + $875,000 = $2,225,000 . The student subtracted instead of added.)  \n4  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com","cbCailp7pf3qmOm2","https://ap.wps.com/l/cbCailp7pf3qmOm2","pdf",1076843,"English","# Word Problems with Large Numbers\n## Challenge Problem – Error Analysis\n# Answer Key","[{\"question\":\"What does Question 1 ask about the number 3,069 miles, and what is the correct value?\",\"answer\":\"It asks for the value of the digit 3 in the thousands place. The correct value is 3,000.\"},{\"question\":\"How do you compute the total cargo carried over Monday and Tuesday in Question 2?\",\"answer\":\"Add the pounds for both days: 48,500 + 37,800. The total is 86,300 pounds.\"},{\"question\":\"What mistake does the student make in the challenge problem, and what is the correct combined earnings?\",\"answer\":\"The student subtracts instead of adding when combining $1,350,000 and $875,000. The correct total is $2,225,000.\"}]","Word Problems with Large Numbers - Answer Key - Challenge Problem: Error Analysis | PDF",1790144597]