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The accompanying key supplies the correct classification for each item from 1 through 15.",{"@graph":14,"@context":72},[15,34,55],{"@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/identifying-rational-and-irrational-numbers-answer-key-485535/485535/",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/identifying-rational-and-irrational-numbers-answer-key-485535/485535.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-26","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you decide whether √8 or √9 is rational or irrational?","Question",{"text":62,"@type":63},"√9 is rational because it equals 3. √8 is irrational because 8 is not a perfect square.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Are numbers like 12/12 or 7/6 rational or irrational?",{"text":67,"@type":63},"12/12 simplifies to 1, which is rational. 7/6 is a ratio of integers, so it is rational.",{"name":69,"@type":60,"acceptedAnswer":70},"Why are numbers involving π such as 2π and 3π classified as irrational?",{"text":71,"@type":63},"The document treats π-based expressions (like 2π and 3π) as irrational because π is irrational, so any nonzero multiple remains irrational.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},485535,1792941071,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110,"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.\u003Cbr>1) A side length of a square is √8 units. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 12⁄ 12 rational or irrational? |  |  |  |  |  |  | 2.   |  |  |  |  |  |  |\n| 3) Is the number √9 rational or irrational? |  |  |  |  |  |  | 3.   |  |  |  |  |  |  |\n| 4) A scale shows a weight of 19.86. Is the number rational or irrational? |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |\n| 5) Is the number √7 rational or irrational? |  |  |  |  |  |  | 6.   |  |  |  |  |  |  |\n| 6) A calculator shows the number 7⁄ 6. Is the number rational or irrational? |  |  |  |  |  |  | 7.   |  |  |  |  |  |  |\n| 7) Is the number-45 rational or irrational? |  |  |  |  |  |  | 8.  \u003Cbr>9. |  |  |  |  |  |  |\n| 8) Is the number 6.03 rational or irrational? |  |  |  |  |  |  | 10.   |  |  |  |  |  |  |\n| 9) Is the number 2π rational or irrational? |  |  |  |  |  |  | 11.   |  |  |  |  |  |  |\n| 10) Luke writes the number √6 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |  |\n| 11) Debby uses the number 3π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 14.   |  |  |  |  |  |  |\n| 12) Faye writes the number √225 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 15.   |  |  |  |  |  |  |\n| 13) Is the number √2 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) A scale shows a weight of 22.79. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) Henry writes the number √11 on the board. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 5 | 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: Answer Key  \n\n| Determine whether each number is rational or irrational.\u003Cbr>1) A side length of a square is √8 units. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  irrational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 12⁄ 12 rational or irrational? |  |  |  |  |  |  | 2.  rational  |  |  |  |  |  |  |\n| 3) Is the number √9 rational or irrational? |  |  |  |  |  |  | 3.  rational  |  |  |  |  |  |  |\n| 4) A scale shows a weight of 19.86. Is the number rational or irrational? |  |  |  |  |  |  | 4.  rational \u003Cbr>5.  irrational  |  |  |  |  |  |  |\n| 5) Is the number √7 rational or irrational? |  |  |  |  |  |  | 6.  rational  |  |  |  |  |  |  |\n| 6) A calculator shows the number 7⁄ 6. Is the number rational or irrational? |  |  |  |  |  |  | 7.  rational  |  |  |  |  |  |  |\n| 7) Is the number-45 rational or irrational? |  |  |  |  |  |  | 8.  rational \u003Cbr>9. irrational |  |  |  |  |  |  |\n| 8) Is the number 6.03 rational or irrational? |  |  |  |  |  |  | 10.  irrational  |  |  |  |  |  |  |\n| 9) Is the number 2π rational or irrational? |  |  |  |  |  |  | 11.  irrational  |  |  |  |  |  |  |\n| 10) Luke writes the number √6 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 12.  rational \u003Cbr>13.  irrational  |  |  |  |  |  |  |\n| 11) Debby uses the number 3π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 14.  rational  |  |  |  |  |  |  |\n| 12) Faye writes the number √225 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) Is the number √2 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) A scale shows a weight of 22.79. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) ","cbCaiuEVa6J94yco","https://ap.wps.com/l/cbCaiuEVa6J94yco","pdf",43274,"English","# Determine Rational or Irrational\n## Square roots and perfect squares\n## Fractions and decimals\n## Numbers involving π","[{\"question\":\"How do you decide whether √8 or √9 is rational or irrational?\",\"answer\":\"√9 is rational because it equals 3. √8 is irrational because 8 is not a perfect square.\"},{\"question\":\"Are numbers like 12/12 or 7/6 rational or irrational?\",\"answer\":\"12/12 simplifies to 1, which is rational. 7/6 is a ratio of integers, so it is rational.\"},{\"question\":\"Why are numbers involving π such as 2π and 3π classified as irrational?\",\"answer\":\"The document treats π-based expressions (like 2π and 3π) as irrational because π is irrational, so any nonzero multiple remains irrational.\"}]","Identifying Rational and Irrational Numbers - Answer Key | PDF",1790804431]