[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467341-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-467341-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","identifying-rational-and-irrational-numbers-practice-worksheet","Identifying Rational and Irrational Numbers - Practice Worksheet","","This document provides a comprehensive practice worksheet designed for students to master the classification of numbers as either rational or irrational. It includes a series of twenty numerical problems, ranging from simple integers and fractions to complex decimal representations. By analyzing these values, students are tasked with distinguishing between numbers that can be expressed as a ratio of two integers and those that cannot. An accompanying answer key is provided to facilitate self-assessment and educational feedback. The resource is structured to reinforce mathematical foundational skills, specifically focusing on the properties of the real number system and its subsets. Suitable for classroom instruction or independent study, the exercise serves as a diagnostic tool for evaluating a student's conceptual understanding of number types. The material is part of a standardized educational series aimed at improving core arithmetic and algebraic proficiency through repetitive, targeted practice drills.",{"@graph":14,"@context":73},[15,34,56],{"@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-practice-worksheet/467341/",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-practice-worksheet/467341.png","ImageObject",300,407,{"name":42,"@type":43},"Ezra","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the purpose of this document?","Question",{"text":63,"@type":64},"The document serves as an educational worksheet to help students practice identifying whether given numbers are rational or irrational.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many problems are included in the worksheet?",{"text":68,"@type":64},"There are 20 numerical problems provided for students to classify.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the document provide solutions?",{"text":72,"@type":64},"Yes, an answer key is included in the document, which identifies each of the 20 numbers as either rational (R) or irrational (I).","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},467341,1790833817,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"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":55},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Identifying Rational and Irrational Numbers  \nName:  \nDetermine if the number is rational (R) or irrational (I).  \n1) 43.631404    \n2) 16⁄21  \n3) 10.38102  \n4) 51.3029  \n5) 43.648084    \n6) 16  \n7) 58  \n8) 47.833560  \n9) 71  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n10) 19 11) 54  \n12) 92⁄68  \n13) 90.073152  \n14) 25  \n15) 4.00138  \n16) 53  \n17) 19⁄68 18) 43  \n19) 55.9290  \n20) 44.232192    \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Rational and Irrational Numbers  \nName: Answer Key  \n\n| Determine if the number is rational (R) or irrational (I).\u003Cbr>1) 43.631404  \u003Cbr>2) 16⁄21\u003Cbr>3) 10.38102\u003Cbr>4) 51.3029\u003Cbr>5) 43.648084  \u003Cbr>6) 16\u003Cbr>7) 58\u003Cbr>8) 47.833560\u003Cbr>9) 71 10) 19 11) 54\u003Cbr>12) 92⁄68\u003Cbr>13) 90.073152\u003Cbr>14) 25\u003Cbr>15) 4.00138\u003Cbr>16) 53\u003Cbr>17) 19⁄68 18) 43\u003Cbr>19) 55.9290\u003Cbr>20) 44.232192  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| Answers 1.  I  2.  R  3.  R  4.  R  5.  I  6.  R  7.  R  8.  R  9.  R  10.  I  11.  I  12.  R  13.  R  14.  R  15.  R  16.  I  17.  R  18.  R \u003Cbr>19.  R \u003Cbr>20. I |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nIdentifying Rational and Irrational Numbers  \nName:  \nDetermine if the number is rational (R) or irrational (I).  \nR R I I  \nR R R I  \nR I R R  \nR  \n1) 43.631404    \n2) 16⁄21  \n3) 10.38102  \n4) 51.3029  \n5) 43.648084    \n6) 16  \n7) 58  \n8) 47.833560  \n9) 71  \n10) 19  \n11) 54  \n12) 92⁄68  \n13) 90.073152  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCaimIIn8pTjBBi","https://ap.wps.com/l/cbCaimIIn8pTjBBi","pdf",46791,"English","# Identifying Rational and Irrational Numbers\n## Problem Set\n## Answer Key","[{\"question\":\"What is the purpose of this document?\",\"answer\":\"The document serves as an educational worksheet to help students practice identifying whether given numbers are rational or irrational.\"},{\"question\":\"How many problems are included in the worksheet?\",\"answer\":\"There are 20 numerical problems provided for students to classify.\"},{\"question\":\"Does the document provide solutions?\",\"answer\":\"Yes, an answer key is included in the document, which identifies each of the 20 numbers as either rational (R) or irrational (I).\"}]","Identifying Rational and Irrational Numbers - Practice Worksheet | PDF",1790772724]