[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-390768-105":59,"doc-detail-390768-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","real-world-problems-with-rational-numbers-practice","Real-World Problems with Rational Numbers - Practice","","Real-World Problems with Rational Numbers provides quick-review guidance for solving word problems involving fractions, decimals, and negative numbers. It emphasizes careful reading, selecting the correct operation (add, subtract, multiply, or divide), and tracking signs and units. The document includes example scenarios and a set of numbered word problems, followed by step-by-step explanations and an answer key to reinforce consistent problem setup and simplification methods.",{"@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/real-world-problems-with-rational-numbers-practice/390768/",{"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/real-world-problems-with-rational-numbers-practice/390768.png","ImageObject",300,407,{"name":92,"@type":93},"lilac","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-25",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 you do first when solving these real-world rational number word problems?","Question",{"text":112,"@type":113},"Read what the problem asks, then choose the matching rule for the correct operation. Write the setup before simplifying step by step.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which kinds of numbers appear in the problems?",{"text":117,"@type":113},"The problems mix fractions, decimals, and negative numbers, often requiring sign and unit tracking during calculation.",{"name":119,"@type":110,"acceptedAnswer":120},"How do the step-by-step explanations help solve the problems?",{"text":121,"@type":113},"They show how to name the process, form the setup using the given values, and then simplify one step at a time to reach the final answer.","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},390768,1790812802,{"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":81,"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":39,"preview_page_count":4},3985747861865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nReal-World Problems with Rational Numbers  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nReal problems often mix fractions, decimals, and negative numbers. Read carefully, decide which operation 􀀂ts (add, subtract, multiply, or divide), and keep track of signs and units as you work.  \n▷ Example: A diver goes down 12 of 30 ft, then 5 more ft. How far down in all? Work: 12 of 30 is 15. Then add the 5 more: 15 + 5 .  \n⋆ Answer: 20 ft  \n0 1 2 3  \nChoose the operation; track the signs.  \n♦ Word Problems  \n15. A recipe needs 34 cup twice. How much in total?  \n16. The temperature was 5◦ , then dropped 8◦ . What is the new temperature?  \n17. A $40 item is 14 off. What is the discount amount?  \n18. You walk 2.5 mi, then 1.5 mi. What is the total distance?  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n2. 20 8. 9.5 14. 􀀀12  \n3. 15 9. 10 15. ~~ ~~32  \n4. 7 10. 􀀀10 16. 􀀀3  \n5. 􀀀5 11. 6 17. 10  \n6. 4 12. 6 18. 4 mi  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 12 􀀂 30 = 15 . So the 􀀂nal answer is 15.  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 0.25 􀀂 80 = 20 . So the 􀀂nal answer is 20.  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is  \n34 􀀂 20 = 15 . So the 􀀂nal answer is 15.  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 12 􀀀 5 = 7 . So the 􀀂nal answer is 7.  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 􀀀8 + 3 = 􀀀5 . So the 􀀂nal answer is 􀀀5 .  \n6. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 2.5 + 1 .5 = 4 . So the 􀀂nal answer is 4.  \n7. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is  \n24 + 14 = 34 . So the 􀀂nal answer is 34 .  \n8. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 10 􀀀 0.5 = 9 .5. So the 􀀂nal answer is 9.5.  \n9. Start by ","cbCaiv2i3yXBmNpd","https://ap.wps.com/l/cbCaiv2i3yXBmNpd","pdf",271883,"English","# Quick Review and Helpful Hints\n# Word Problems\n# Step-by-Step Explanations\n# Answer Keys","[{\"question\":\"What should you do first when solving these real-world rational number word problems?\",\"answer\":\"Read what the problem asks, then choose the matching rule for the correct operation. Write the setup before simplifying step by step.\"},{\"question\":\"Which kinds of numbers appear in the problems?\",\"answer\":\"The problems mix fractions, decimals, and negative numbers, often requiring sign and unit tracking during calculation.\"},{\"question\":\"How do the step-by-step explanations help solve the problems?\",\"answer\":\"They show how to name the process, form the setup using the given values, and then simplify one step at a time to reach the final answer.\"}]","Real-World Problems with Rational Numbers - Practice | PDF",1790339755]