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Items include examples such as 15/6, 25.44, 33, √21, √144, √13, √2, 2π, √25, 14/12, 3π, 2.84, 15/4, and -87, with each response marked as rational or irrational.",{"@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-determine-rational-or-irrational/485537/",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-determine-rational-or-irrational/485537.png","ImageObject",300,407,{"name":42,"@type":43},"mieayamfan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What types of numbers are included in this worksheet?","Question",{"text":62,"@type":63},"The worksheet includes fractions, decimals, square roots, and expressions involving pi (π). 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Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A scale shows a weight of 25.44. Is the number rational or irrational? |  |  |  |  |  | 2.   |  |  |  |  |  |  |\n| 3) | Is the number 33 rational or irrational? |  |  |  |  |  | 3.   |  |  |  |  |  |  |\n| 4) | A side length of a square is √21 units. Is the number rational or irrational? |  |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |\n| 5) | Is the number √144 rational or irrational? |  |  |  |  |  | 6.   |  |  |  |  |  |  |\n| 6) | Is the number √13 rational or irrational? |  |  |  |  |  | 7.   |  |  |  |  |  |  |\n| 7) | Sam writes the number √2 on the board. Is the number rational or irrational? |  |  |  |  |  | 8.  \u003Cbr>9. |  |  |  |  |  |  |\n| 8) | Is the number 2π rational or irrational? |  |  |  |  |  | 10.   |  |  |  |  |  |  |\n| 9) | Vanessa writes the number √25 on the board. Is the number rational or irrational? |  |  |  |  |  | 11.   |  |  |  |  |  |  |\n| 10) | Is the number 14⁄ 12 rational or irrational? |  |  |  |  |  | 12.  \u003Cbr>13.   |  |  |  |  |  |  |\n| 11) | Gwen uses the number 3π in a formula. Is the number rational or irrational? |  |  |  |  |  | 14.   |  |  |  |  |  |  |\n| 12) | Is the number 2.84 rational or irrational? |  |  |  |  |  | 15.   |  |  |  |  |  |  |\n| 13) | Is the number 15⁄ 4 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | Is the number-87 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | Faye uses the number 6π in a formula. Is the number rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 7 | 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 15⁄ 6. Is the number rational or irrational? |  |  |  |  |  |  | Answers\u003Cbr>1.  rational  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A scale shows a weight of 25.44. Is the number rational or irrational? |  |  |  |  |  | 2.  rational  |  |  |  |  |  |  |\n| 3) | Is the number 33 rational or irrational? |  |  |  |  |  | 3.  rational  |  |  |  |  |  |  |\n| 4) | A side length of a square is √21 units. Is the number rational or irrational? |  |  |  |  |  | 4.  irrational \u003Cbr>5.  rational  |  |  |  |  |  |  |\n| 5) | Is the number √144 rational or irrational? |  |  |  |  |  | 6.  irrational  |  |  |  |  |  |  |\n| 6) | Is the number √13 rational or irrational? |  |  |  |  |  | 7.  irrational  |  |  |  |  |  |  |\n| 7) | Sam writes the number √2 on the board. Is the number rational or irrational? |  |  |  |  |  | 8.  irrational \u003Cbr>9. rational |  |  |  |  |  |  |\n| 8) | Is the number 2π rational or irrational? |  |  |  |  |  | 10.  rational  |  |  |  |  |  |  |\n| 9) | Vanessa writes the number √25 on the board. Is the number rational or irrational? |  |  |  |  |  | 11.  irrational \u003Cbr>12. rational |  |  |  |  |  |  |\n| 10) | Is the number 14⁄ 12 rational or irrational? |  |  |  |  |  | 13.  rational  |  |  |  |  |  |  |\n| 11) | Gwen uses the number 3π in a formula. Is the number rational or irrational? |  |  |  |  |  | 14.  rational  |  |  |  |  |  |  |\n| 12) | Is the number 2.84 rational or irrational? |  |  |  |  |  | 15.  irrational  |  |  |  |  |  |  |\n| 13) | Is the number 15⁄ 4 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | Is the number-87 rational or irrational? |  |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | Faye uses the number 6π in a formula. Is the number rational or irrational? |","cbCairiOzlopGKEI","https://ap.wps.com/l/cbCairiOzlopGKEI","pdf",43436,"English","# Determine whether each number is rational or irrational\n## Classify fractions, decimals, and radical expressions\n## Classify numbers involving pi (π)","[{\"question\":\"What types of numbers are included in this worksheet?\",\"answer\":\"The worksheet includes fractions, decimals, square roots, and expressions involving pi (π). Each item asks whether the number is rational or irrational.\"},{\"question\":\"How are square root problems handled?\",\"answer\":\"Square roots like √21, √144, √13, and √2 require evaluating whether the resulting value is rational or irrational, then matching the correct category.\"},{\"question\":\"Are numbers involving pi rational or irrational here?\",\"answer\":\"The answer key classifies each pi-related expression (such as 2π and 3π) as rational or irrational as appropriate for the worksheet’s questions.\"}]","Identifying Rational and Irrational Numbers - Answer Key - Determine Rational or Irrational | PDF",1790804434]