[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-467348-en":59,"doc-seo-467348-105":80},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"language":72,"language_code":73,"site_id":74,"html_lang":73,"table_of_contents":75,"faqs":76,"seo_title":77,"seo_description":66,"update_tm":78,"read_time":79},467348,1099514068035,"Ezra","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Identifying Rational and Irrational Numbers - Determine if the number is rational (R) or irrational (I)","Worksheets for determining whether given values are rational (R) or irrational (I). Each set lists multiple numbers in a mix of decimals, integers, and fractions, then provides an answer key indicating R or I for every item. The material is structured for classroom practice, allowing students to classify each number using rationality rules such as expressibility as a ratio of integers, including repeating/terminating decimals and fractional forms.","Identifying Rational and Irrational Numbers  \nName:  \nDetermine if the number is rational (R) or irrational (I).  \n1) 72.608240    \n2) 87.580294    \n3) 63.319683  \n4) 24.526891    \n5) 90 6) 36 7) 54 8) 19  \n9) 6⁄14 10) 4  \n11) 23⁄24  \n12) 46⁄8 13) 64  \n14) 8⁄14 15) 28 16) 82  \n17) 2.708388  \n18) 19  \n19) 55⁄51  \n20) 15.9380  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nAnswers  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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) 72.608240  \u003Cbr>2) 87.580294  \u003Cbr>3) 63.319683\u003Cbr>4) 24.526891  \u003Cbr>5) 90 6) 36 7) 54 8) 19\u003Cbr>9) 6⁄14 10) 4\u003Cbr>11) 23⁄24\u003Cbr>12) 46⁄8 13) 64\u003Cbr>14) 8⁄14 15) 28 16) 82\u003Cbr>17) 2.708388\u003Cbr>18) 19\u003Cbr>19) 55⁄51\u003Cbr>20) 15.9380\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| Answers 1.  I  2.  I  3.  R  4.  I  5.  R  6.  R  7.  I  8.  I  9.  R  10.  R  11.  R  12.  R  13.  R  14.  R  15.  R  16.  R  17.  R  18.  R \u003Cbr>19.  R \u003Cbr>20. R |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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:  \n\n| Determine if the number is rational (R) or irrational (I). | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.   |\n| --- | --- |\n| \u003Cbr>RRIR\u003Cbr>RRI\u003Cbr>II R\u003Cbr>IR R |  |\n| 1) 72.608240  \u003Cbr>2) 87.580294  \u003Cbr>3) 63.319683\u003Cbr>4) 24.526891  \u003Cbr>5) 90\u003Cbr>6) 36\u003Cbr>7) 54\u003Cbr>8) 19\u003Cbr>9) 6⁄14 10) 4\u003Cbr>11) 23⁄24\u003Cbr>12) 46⁄8 13) 64\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-10 11-13  \n\n| 92 | 85 | 77 | 69 | 62 | 54 | 46 | 38 | 31 | 23 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 15 | 8 | 0 |  |  |  |  |  |  |  |\n\nIdentifying Rational and Irrational Numbers  \nName:  \nDetermine if the number is rational (R) or irrational (I).  \n1) 91.497533    \n2) 17  \n3) 29⁄17  \n4) 48⁄34  \n5) 88.915724    \n6) 31⁄15  \n7) 83.351  \n8) 70  \n9) 58.00381  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n10) 40⁄1  \n11) 35  \n12) 30.227949  \n13) 3.395862    \n14) 4⁄47 15) 39  \n16) 21⁄22  \n17) 44.602656    \n18) 45⁄70  \n19) 10⁄6 20) 19  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \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) 91.497533  \u003Cbr>2) 17\u003Cbr>3) 29⁄17\u003Cbr>4) 48⁄34\u003Cbr>5) 88.915724  \u003Cbr>6) 31⁄15\u003Cbr>7) 83.351\u003Cbr>8) 70\u003Cbr>9) 58.00381\u003Cbr>10) 40⁄1\u003Cbr>11) 35\u003Cbr>12) 30.227949\u003Cbr>13) 3.395862  \u003Cbr>14) 4⁄47 15) 39\u003Cbr>16) 21⁄22\u003Cbr>17) 44.602656  \u003Cbr>18) 45⁄70\u003Cbr>19) 10⁄6 20) 19\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| Answers 1.  I  2.  I  3.  R  4.  R  5.  I  6.  R  7.  R  8.  I  9.  R  10.  R  11.  R  12.  R  13.  I  14.  R  15.  I  16.  R  17.  I  18.  R \u003Cbr>19.  R \u003Cbr>20. I |\n| --- | --- |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n2  \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:  \n\n| Determine if the number is rational (R) or irrational (I). | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.   |\n| --- | --- |\n| \u003Cbr>I I R I\u003Cbr>R R R I\u003Cbr>I R R R\u003Cbr>R |  |\n| 1) 91.497533  \u003Cbr>2) 17\u003Cbr>3) 29⁄17\u003Cbr>4) 48⁄34\u003Cbr>5) 88.915724  \u003Cbr>6) 31⁄15\u003Cbr>\u003Cbr>7) 83.351\u003Cbr>8) 70\u003Cbr>\u003Cbr>9) 58.00381\u003Cbr>10) 40⁄1\u003Cbr>11) 35\u003Cbr>12) 30.227949\u003Cbr>13) 3.395862   |  |\n\nMath  \nModified  \n[www.CommonCoreShee","cbCaiqg0tZgFIdeQ","https://ap.wps.com/l/cbCaiqg0tZgFIdeQ","pdf",474913,"English","en",105,"# Determine if the number is rational (R) or irrational (I)\n## Practice problems\n## Answer key","[{\"question\":\"How do you determine whether a number is rational or irrational?\",\"answer\":\"Classify each number as rational (R) if it can be expressed as a ratio of two integers; otherwise it is irrational (I). Decimals that terminate or repeat are typically rational, while non-repeating non-terminating decimals are irrational.\"},{\"question\":\"What kinds of numbers are included in these problems?\",\"answer\":\"The worksheet includes decimals, integers, and fractions (e.g., numbers written as quotients like a/b or mixed forms such as whole numbers).\"},{\"question\":\"What do the letters R and I mean on the answer key?\",\"answer\":\"R stands for rational and I stands for irrational. The answer key marks each numbered item with either R or I.\"}]","Identifying Rational and Irrational Numbers - Determine if the number is rational (R) or irrational (I) | PDF",1790772737,76,{"code":4,"msg":81,"data":82},"ok",{"site_id":74,"language":73,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":139,"head_meta":141,"extra_data":143,"updated_unix":144},"identifying-rational-and-irrational-numbers-determine-if-the-number-is-rational-r-or-irrational-i","",{"@graph":86,"@context":138},[87,101,121],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,99],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":98},"https://docshare.wps.com/document/exam/",3,{"item":100,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/identifying-rational-and-irrational-numbers-determine-if-the-number-is-rational-r-or-irrational-i/467348/",{"url":100,"name":65,"@type":102,"image":103,"author":108,"headline":65,"publisher":110,"fileFormat":113,"inLanguage":73,"description":66,"dateModified":114,"datePublished":115,"encodingFormat":113,"isAccessibleForFree":116,"interactionStatistic":117},"DigitalDocument",{"url":104,"@type":105,"width":106,"height":107},"https://docshare.wps.com/thumbnails/identifying-rational-and-irrational-numbers-determine-if-the-number-is-rational-r-or-irrational-i/467348.png","ImageObject",300,407,{"name":63,"@type":109},"Person",{"url":91,"name":111,"@type":112},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":118,"interactionType":119,"userInteractionCount":39},"InteractionCounter",{"@type":120},"ViewAction",{"@type":122,"mainEntity":123},"FAQPage",[124,130,134],{"name":125,"@type":126,"acceptedAnswer":127},"How do you determine whether a number is rational or irrational?","Question",{"text":128,"@type":129},"Classify each number as rational (R) if it can be expressed as a ratio of two integers; otherwise it is irrational (I). Decimals that terminate or repeat are typically rational, while non-repeating non-terminating decimals are irrational.","Answer",{"name":131,"@type":126,"acceptedAnswer":132},"What kinds of numbers are included in these problems?",{"text":133,"@type":129},"The worksheet includes decimals, integers, and fractions (e.g., numbers written as quotients like a/b or mixed forms such as whole numbers).",{"name":135,"@type":126,"acceptedAnswer":136},"What do the letters R and I mean on the answer key?",{"text":137,"@type":129},"R stands for rational and I stands for irrational. The answer key marks each numbered item with either R or I.","https://schema.org",{"og:url":100,"og:type":140,"og:title":65,"og:site_name":111,"og:description":66},"article",{"robots":142,"canonical":100},"index,follow",{"doc_id":61,"site_id":74},1790883894]