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Students evaluate a set of 15 items involving square roots (e.g., √5, √36, √22, √121, √24, √144, √8), decimals (3.45, 10.53), fractions (4/9, 7/7), and irrational constants with π (6π, 5π, 8π). An answer key section provides the rational/irrational classification for each numbered question, supporting self-check and assessment.",{"@graph":69,"@context":114},[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-worksheet/485534/",{"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-worksheet/485534.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"What about numbers involving π, like 6π and 5π?","Question",{"text":112,"@type":113},"Any multiple of π is treated as irrational since π is irrational. The answer key marks 6π, 5π, and 8π as irrational.","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},485534,1792941138,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"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 √5 rational or irrational? |  |  |\n|  |  |  |\n| 2) Is the number 78 rational or irrational? | 2. |  |\n|  |  |  |\n| 3) Janet writes the number √36 on the board. Is the number rational or irrational? | 3. |  |\n|  |  |  |\n| 4) Is the number 3.45 rational or irrational? | 4.\u003Cbr>5. |  |\n|  |  |  |\n|  |  |  |\n| 5) A side length of a square is √22 units. Is the number rational or irrational? | 6. |  |\n|  |  |  |\n| 6) Is the number 4⁄ 9 rational or irrational? | 7. |  |\n|  |  |  |\n| 7) Is the number √121 rational or irrational? | 8.\u003Cbr>9. |  |\n|  |  |  |\n|  |  |  |\n| 8) Dave writes the number √24 on the board. Is the number rational or irrational? | 10. |  |\n|  |  |  |\n| 9) A scale shows a weight of 10.53. Is the number rational or irrational? | 11. |  |\n|  |  |  |\n| 10) Bianca uses the number 6π in a formula. Is the number rational or irrational? | 12.\u003Cbr>13. |  |\n|  |  |  |\n| 11) Is the number 5π rational or irrational? | 14. |  |\n|  |  |  |\n| 12) A calculator shows the number 7⁄ 7. Is the number rational or irrational? | 15. |  |\n|  |  |  |\n| 13) Nancy uses the number 8π in a formula. Is the number rational or irrational? |  |  |\n| 14) Is the number √144 rational or irrational? |  |  |\n| 15) Is the number √8 rational or irrational? |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \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 √5 rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  irrational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 78 rational or irrational? |  |  |  |  |  |  | 2.  rational  |  |  |  |  |  |  |\n| 3) Janet writes the number √36 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 3.  rational  |  |  |  |  |  |  |\n| 4) Is the number 3.45 rational or irrational? |  |  |  |  |  |  | 4.  rational \u003Cbr>5.  irrational  |  |  |  |  |  |  |\n| 5) A side length of a square is √22 units. Is the number rational or irrational? |  |  |  |  |  |  | 6.  rational  |  |  |  |  |  |  |\n| 6) Is the number 4⁄ 9 rational or irrational? |  |  |  |  |  |  | 7.  rational  |  |  |  |  |  |  |\n| 7) Is the number √121 rational or irrational? |  |  |  |  |  |  | 8.  irrational \u003Cbr>9. rational |  |  |  |  |  |  |\n| 8) Dave writes the number √24 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 10.  irrational  |  |  |  |  |  |  |\n| 9) A scale shows a weight of 10.53. Is the number rational or irrational? |  |  |  |  |  |  | 11.  irrational  |  |  |  |  |  |  |\n| 10) Bianca uses the number 6π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 12.  rational \u003Cbr>13.  irrational  |  |  |  |  |  |  |\n| 11) Is the number 5π rational or irrational? |  |  |  |  |  |  | 14.  rational  |  |  |  |  |  |  |\n| 12) A calculator shows the number 7⁄ 7. Is the number rational or irrational? |  |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) Nancy uses the number 8π in a formula. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) Is the number √144 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) Is the number √8 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 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. | Answers |\n","cbCaiqS074NVV8d8","https://ap.wps.com/l/cbCaiqS074NVV8d8","pdf",43293,"English","# Determine Rational or Irrational\n## Question Set (1-15)\n## Answer Key","[{\"question\":\"What about numbers involving π, like 6π and 5π?\",\"answer\":\"Any multiple of π is treated as irrational since π is irrational. The answer key marks 6π, 5π, and 8π as irrational.\"}]","Identifying Rational and Irrational Numbers - Worksheet | PDF",1790804427]