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Problems ask students to classify fractions (e.g., 2/13, 1/12), square roots from areas or side lengths (√13, √12, √100, √25, √19, √17), integer negatives (−11), decimals (11.82, 36.79), and expressions involving π and constants (4π, 7π).",{"@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/463957/",{"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/463957.png","ImageObject",300,407,{"name":92,"@type":93},"Finn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which types of numbers are included in the rational/irrational questions?","Question",{"text":112,"@type":113},"The worksheet includes fractions, square roots of non-square integers, negative integers, decimals, and values involving π such as 4π and 7π.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the square-root problems set up?",{"text":117,"@type":113},"Some items describe geometric contexts like a square side length (e.g., √13 units) or a board writing (e.g., √12), then ask whether the number is rational or irrational.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key lists the correct classification for each numbered problem (rational or irrational) matching the worksheet questions.","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},463957,1790767430,{"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":19,"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":129,"read_time":39},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","Identifying Rational and Irrational Numbers  \nName:  \n\n| Determine whether each number is rational or irrational.\u003Cbr>1) A calculator shows the number 2⁄ 13. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 1⁄ 12 rational or irrational? |  |  |  |  |  |  | 2.   |  |  |  |  |  |  |\n| 3) A side length of a square is √13 units. Is the number rational or irrational? |  |  |  |  |  |  | 3.   |  |  |  |  |  |  |\n| 4) Dave writes the number √12 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |\n| 5) Is the number-11 rational or irrational? |  |  |  |  |  |  | 6.   |  |  |  |  |  |  |\n| 6) Vanessa uses the number 4π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 7.   |  |  |  |  |  |  |\n| 7) Is the number √100 rational or irrational? |  |  |  |  |  |  | 8.  \u003Cbr>9. |  |  |  |  |  |  |\n| 8) Is the number 11.82 rational or irrational? |  |  |  |  |  |  | 10.   |  |  |  |  |  |  |\n| 9) A scale shows a weight of 36.79. Is the number rational or irrational? |  |  |  |  |  |  | 11.   |  |  |  |  |  |  |\n| 10) Gwen writes the number √25 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |  |\n| 11) Is the number 7π rational or irrational? |  |  |  |  |  |  | 14.   |  |  |  |  |  |  |\n| 12) Is the number √19 rational or irrational? |  |  |  |  |  |  | 15.   |  |  |  |  |  |  |\n| 13) Edward writes the number √17 on the board. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) Is the number 2 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) Haley uses the number 7π in a formula. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 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 calculator shows the number 2⁄ 13. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  rational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Is the number 1⁄ 12 rational or irrational? |  |  |  |  |  |  | 2.  rational  |  |  |  |  |  |  |\n| 3) A side length of a square is √13 units. Is the number rational or irrational? |  |  |  |  |  |  | 3.  irrational  |  |  |  |  |  |  |\n| 4) Dave writes the number √12 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 4.  irrational \u003Cbr>5.  rational  |  |  |  |  |  |  |\n| 5) Is the number-11 rational or irrational? |  |  |  |  |  |  | 6.  irrational  |  |  |  |  |  |  |\n| 6) Vanessa uses the number 4π in a formula. Is the number rational or irrational? |  |  |  |  |  |  | 7.  rational  |  |  |  |  |  |  |\n| 7) Is the number √100 rational or irrational? |  |  |  |  |  |  | 8.  rational \u003Cbr>9. rational |  |  |  |  |  |  |\n| 8) Is the number 11.82 rational or irrational? |  |  |  |  |  |  | 10.  rational  |  |  |  |  |  |  |\n| 9) A scale shows a weight of 36.79. Is the number rational or irrational? |  |  |  |  |  |  | 11.  irrational  |  |  |  |  |  |  |\n| 10) Gwen writes the number √25 on the board. Is the number rational or irrational? |  |  |  |  |  |  | 12.  irrational \u003Cbr>13.  irrational  |  |  |  |  |  |  |\n| 11) Is the number 7π rational or irrational? |  |  |  |  |  |  | 14.  rational  |  |  |  |  |  |  |\n| 12) Is the number √19 rational or irrational? |  |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) Edward writes the number √17 on the board. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) Is the number 2 rational or irrational? |  |  |  |  |  |  ","cbCaiquPL2bdFVci","https://ap.wps.com/l/cbCaiquPL2bdFVci","pdf",43325,"English","# Determine Rational or Irrational\n## Classify numbers (fractions, square roots, decimals, π)","[{\"question\":\"Which types of numbers are included in the rational/irrational questions?\",\"answer\":\"The worksheet includes fractions, square roots of non-square integers, negative integers, decimals, and values involving π such as 4π and 7π.\"},{\"question\":\"How are the square-root problems set up?\",\"answer\":\"Some items describe geometric contexts like a square side length (e.g., √13 units) or a board writing (e.g., √12), then ask whether the number is rational or irrational.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the correct classification for each numbered problem (rational or irrational) matching the worksheet questions.\"}]","Identifying Rational and Irrational Numbers - Answer Key | PDF"]