[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-485529-105":59,"doc-detail-485529-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","identifying-rational-and-irrational-numbers-answer-key-485529","Identifying Rational and Irrational Numbers - Answer Key","","Practice and answer key for determining whether given numbers are rational or irrational. Learners evaluate expressions such as 7π, 2.11, √100, −55, 8/3, √6, √15, √225, 2.34, and √20, then classify fractions like 5/13 and quotients such as 10/5. Additional items include checking values involving 4π and square side lengths such as √11, with final classifications provided for each numbered question.",{"@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/identifying-rational-and-irrational-numbers-answer-key-485529/485529/",{"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/identifying-rational-and-irrational-numbers-answer-key-485529/485529.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",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},"How do you decide whether a number is rational or irrational?","Question",{"text":112,"@type":113},"The worksheet asks learners to determine each value’s classification as rational or irrational, then mark the correct answer for every numbered item.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which types of numbers are included in the problems?",{"text":117,"@type":113},"The problems include values involving π (like 7π and 4π), decimal numbers, fractions (like 5/13), and square roots (like √100, √15, and √225).",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct classifications be found?",{"text":121,"@type":113},"An answer key section labeled “Identifying Rational and Irrational Numbers - Name: Answer Key” provides the rational/irrational results for questions 1 through 15.","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},485529,1791460450,{"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":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},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Identifying Rational and Irrational Numbers  \nName:  \n\n| Determine whether each number is rational or irrational. | 1. | Answers |\n| --- | --- | --- |\n| 1) Bianca uses the number 7π in a formula. Is the number rational or irrational? |  |  |\n|  |  |  |\n| 2) Is the number 7π rational or irrational? | 2. |  |\n|  |  |  |\n| 3) Is the number 2.11 rational or irrational? | 3. |  |\n|  |  |  |\n| 4) Carol writes the number √100 on the board. Is the number rational or irrational? | 4.\u003Cbr>5. |  |\n|  |  |  |\n|  |  |  |\n| 5) Is the number-55 rational or irrational? | 6. |  |\n|  |  |  |\n| 6) A calculator shows the number 8⁄ 3. Is the number rational or irrational? | 7. |  |\n|  |  |  |\n| 7) A side length of a square is √6 units. Is the number rational or irrational? | 8.\u003Cbr>9. |  |\n|  |  |  |\n|  |  |  |\n| 8) Is the number √15 rational or irrational? | 10. |  |\n|  |  |  |\n| 9) Is the number √225 rational or irrational? | 11. |  |\n|  |  |  |\n| 10) A scale shows a weight of 2.34. Is the number rational or irrational? | 12.\u003Cbr>13. |  |\n|  |  |  |\n| 11) Paul writes the number √20 on the board. Is the number rational or irrational? | 14. |  |\n|  |  |  |\n| 12) Is the number 5⁄ 13 rational or irrational? | 15. |  |\n|  |  |  |\n| 13) Is the number 10⁄ 5 rational or irrational? |  |  |\n| 14) Robin uses the number 4π in a formula. Is the number rational or irrational? |  |  |\n| 15) A side length of a square is √11 units. Is the number rational or irrational? |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10 11-15  \n\n| 93 | 87 | 80 | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 27 | 20 | 13 | 7 | 0 |  |  |  |  |  |\n\nIdentifying Rational and Irrational Numbers  \nName: Answer Key  \n\n| Determine whether each number is rational or irrational.\u003Cbr>1) Bianca uses the number 7π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  irrational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 7π rational or irrational? |  |  |  |  |  |  | 2.  irrational  |  |  |  |  |  |  |\n| 3) Is the number 2.11 rational or irrational? |  |  |  |  |  |  | 3.  rational  |  |  |  |  |  |  |\n| 4) Carol writes the number √100 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 4.  rational \u003Cbr>5.  rational  |  |  |  |  |  |  |\n| 5) Is the number-55 rational or irrational? |  |  |  |  |  |  | 6.  rational  |  |  |  |  |  |  |\n| 6) A calculator shows the number 8⁄ 3. Is the number rational or irrational? |  |  |  |  |  |  | 7.  irrational  |  |  |  |  |  |  |\n| 7) A side length of a square is √6 units. Is the number rational or irrational? |  |  |  |  |  |  | 8.  irrational \u003Cbr>9. rational |  |  |  |  |  |  |\n| 8) Is the number √15 rational or irrational? |  |  |  |  |  |  | 10.  rational  |  |  |  |  |  |  |\n| 9) Is the number √225 rational or irrational? |  |  |  |  |  |  | 11.  irrational  |  |  |  |  |  |  |\n| 10) A scale shows a weight of 2.34. Is the number rational or irrational? |  |  |  |  |  |  | 12.  rational \u003Cbr>13.  rational  |  |  |  |  |  |  |\n| 11) Paul writes the number √20 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 14.  irrational  |  |  |  |  |  |  |\n| 12) Is the number 5⁄ 13 rational or irrational? |  |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) Is the number 10⁄ 5 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) Robin uses the number 4π in a formula. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) A side length of a square is √11 units. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 1-10\u003Cbr>11-15 | 93 | 87 | 80 | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  |  |  | 27 | 20 | 13 | 7 | 0 |  |  |  |  |  |\n\nIdentifying Rational and Irrational Numbers  \nName:  ","cbCais1epkz8aLS4","https://ap.wps.com/l/cbCais1epkz8aLS4","pdf",43420,"English","# Determine Rational or Irrational\n## Identify each numbered value","[{\"question\":\"How do you decide whether a number is rational or irrational?\",\"answer\":\"The worksheet asks learners to determine each value’s classification as rational or irrational, then mark the correct answer for every numbered item.\"},{\"question\":\"Which types of numbers are included in the problems?\",\"answer\":\"The problems include values involving π (like 7π and 4π), decimal numbers, fractions (like 5/13), and square roots (like √100, √15, and √225).\"},{\"question\":\"Where can the correct classifications be found?\",\"answer\":\"An answer key section labeled “Identifying Rational and Irrational Numbers - Name: Answer Key” provides the rational/irrational results for questions 1 through 15.\"}]","Identifying Rational and Irrational Numbers - Answer Key | PDF",1790804412]