[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-485530-105":59,"doc-detail-485530-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-485530","Identifying Rational and Irrational Numbers - Answer Key","","Determine whether given numbers are rational or irrational through a structured set of 15 problems. Each item presents a number involving square roots, decimals, or constants such as π, and asks the student to classify it as rational or irrational. The document includes an answer key listing correct classifications for questions 1 through 15, supporting quick verification and targeted practice.",{"@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-485530/485530/",{"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-485530/485530.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","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 many problems are included in the worksheet?","Question",{"text":112,"@type":113},"The worksheet contains 15 questions, each asking for a classification of a number as rational or irrational.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of numbers appear in the problems?",{"text":117,"@type":113},"The problems include perfect squares under square roots (e.g., √100, √64), non-perfect squares (e.g., √21, √2, √11), decimals (e.g., 38.05, 14.87), fractions (e.g., 7/9, 14/9), and multiples of π (e.g., 7π, 3π, 9π).",{"name":119,"@type":110,"acceptedAnswer":120},"Is an answer key provided?",{"text":121,"@type":113},"Yes. The document includes an answer key that lists the correct rational/irrational classification for each question from 1 to 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},485530,1791412504,{"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) Is the number √100 rational or irrational? |  |  |\n|  |  |  |\n| 2) Is the number √21 rational or irrational? | 2. |  |\n|  |  |  |\n| 3) A side length of a square is √21 units. Is the number rational or irrational? | 3. |  |\n|  |  |  |\n| 4) Is the number 38.05 rational or irrational? | 4.\u003Cbr>5. |  |\n|  |  |  |\n|  |  |  |\n| 5) Emily uses the number 7π in a formula. Is the number rational or irrational? | 6. |  |\n|  |  |  |\n| 6) Is the number 89 rational or irrational? | 7. |  |\n|  |  |  |\n| 7) A scale shows a weight of 14.87. Is the number rational or irrational? | 8.\u003Cbr>9. |  |\n|  |  |  |\n|  |  |  |\n| 8) A calculator shows the number 14⁄ 9. Is the number rational or irrational? | 10. |  |\n|  |  |  |\n| 9) Robin writes the number √64 on the board. Is the number rational or irrational? | 11. |  |\n|  |  |  |\n| 10) Is the number 7⁄ 9 rational or irrational? | 12.\u003Cbr>13. |  |\n|  |  |  |\n| 11) Is the number 3π rational or irrational? | 14. |  |\n|  |  |  |\n| 12) George writes the number √2 on the board. Is the number rational or irrational? | 15. |  |\n|  |  |  |\n| 13) Is the number 9π rational or irrational? |  |  |\n| 14) Is the number 25 rational or irrational? |  |  |\n| 15) Oliver writes the number √11 on the board. Is the number rational or irrational? |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \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) Is the number √100 rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  rational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number √21 rational or irrational? |  |  |  |  |  |  | 2.  irrational  |  |  |  |  |  |  |\n| 3) A side length of a square is √21 units. Is the number rational or irrational? |  |  |  |  |  |  | 3.  irrational  |  |  |  |  |  |  |\n| 4) Is the number 38.05 rational or irrational? |  |  |  |  |  |  | 4.  rational \u003Cbr>5.  irrational  |  |  |  |  |  |  |\n| 5) Emily uses the number 7π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 6.  rational  |  |  |  |  |  |  |\n| 6) Is the number 89 rational or irrational? |  |  |  |  |  |  | 7.  rational  |  |  |  |  |  |  |\n| 7) A scale shows a weight of 14.87. Is the number rational or irrational? |  |  |  |  |  |  | 8.  rational \u003Cbr>9.  rational  |  |  |  |  |  |  |\n| 8) A calculator shows the number 14⁄ 9. Is the number rational or irrational? |  |  |  |  |  |  | 10.  rational  |  |  |  |  |  |  |\n| 9) Robin writes the number √64 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 11.  irrational  |  |  |  |  |  |  |\n| 10) Is the number 7⁄ 9 rational or irrational? |  |  |  |  |  |  | 12.  irrational \u003Cbr>13.  irrational  |  |  |  |  |  |  |\n| 11) Is the number 3π rational or irrational? |  |  |  |  |  |  | 14.  rational  |  |  |  |  |  |  |\n| 12) George writes the number √2 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) Is the number 9π rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) Is the number 25 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) Oliver writes the number √11 on the board. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 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:  \n\n| Determine whether each number is rational or irrational. | 1","cbCaifbnjwGln8OD","https://ap.wps.com/l/cbCaifbnjwGln8OD","pdf",43306,"English","# Determine Rational or Irrational\n## Questions 1-15\n## Answer Key","[{\"question\":\"How many problems are included in the worksheet?\",\"answer\":\"The worksheet contains 15 questions, each asking for a classification of a number as rational or irrational.\"},{\"question\":\"What types of numbers appear in the problems?\",\"answer\":\"The problems include perfect squares under square roots (e.g., √100, √64), non-perfect squares (e.g., √21, √2, √11), decimals (e.g., 38.05, 14.87), fractions (e.g., 7/9, 14/9), and multiples of π (e.g., 7π, 3π, 9π).\"},{\"question\":\"Is an answer key provided?\",\"answer\":\"Yes. The document includes an answer key that lists the correct rational/irrational classification for each question from 1 to 15.\"}]","Identifying Rational and Irrational Numbers - Answer Key | PDF",1790804416]