[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522523-105":59,"doc-detail-522523-en":130},{"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":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","sets-of-real-numbers-algebra-1-worksheet","Sets of Real Numbers - Algebra 1 Worksheet","","This document serves as an educational resource for students studying real numbers in Algebra 1, specifically focusing on classifying numbers into various sets such as Natural numbers (N), Whole numbers (W), Integers (Z), Rational numbers (Q), Irrational numbers (I), and Real numbers (R). The worksheet includes twenty practice problems designed to test a student's ability to correctly identify and categorize numeric values, along with a comprehensive answer key provided at the end for self-assessment. By covering a diverse range of expressions, including square roots, fractions, and integers, the material reinforces fundamental algebraic concepts essential for foundational mathematics. This structured practice is intended for classroom use or independent study, offering clear examples and solutions that help students master the properties and definitions of different number systems within the real number line.",{"@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/sets-of-real-numbers-algebra-1-worksheet/522523/",{"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/sets-of-real-numbers-algebra-1-worksheet/522523.png","ImageObject",300,407,{"name":92,"@type":93},"Noah","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-08",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},"What are the categories of real numbers covered in this worksheet?","Question",{"text":112,"@type":113},"The worksheet covers Natural numbers (N), Whole numbers (W), Integers (Z), Rational numbers (Q), Irrational numbers (I), and Real numbers (R).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are rational numbers different from irrational numbers in this context?",{"text":117,"@type":113},"Rational numbers (Q) can be expressed as a fraction of two integers, whereas irrational numbers (I), like pi, cannot be expressed as a simple fraction and have non-terminating, non-repeating decimal expansions.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the purpose of the answer key included in the document?",{"text":121,"@type":113},"The answer key allows students to verify their classifications for each of the twenty practice problems, facilitating self-correction and understanding of the classification process.","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},522523,1792188792,{"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":14,"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":143,"read_time":24,"preview_page_count":4},8796095462418,"https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780","Kuta Software-Infinite Algebra 1 Name___________________________________  \nSets of Real Numbers Date________________ Period____  \nName the set or sets to which each number belongs.  \n1) −15 2) 11  \n3) 30  17  \n4)  \n3  \n5) 6 6) 0  \n7) −13 8) 3  \n 10  10) 14  \n9)  \n11  \n11) −13 12) π  \n475  14) 77  \n13)  \n325  \n15) 67~~ ~~ 16)   \n17) − 196 18) −1  \n19) ~~ ~~ 20)   \nKuta Software-Infinite Algebra 1 Name___________________________________  \nSets of Real Numbers Date________________ Period____  \nName the set or sets to which each number belongs.  \n1) −15 2) 11  \nZ, Q, R N, W, Z, Q, R  \n3) 30  17  \n4)  \n3  \nI, R  \nQ, R  \n5) 6 6) 0  \nN, W, Z, Q, R W, Z, Q, R  \n7) −13 8) 3  \nZ, Q, R N, W, Z, Q, R  \n 10  10) 14  \n9)  \n11  \nN, W, Z, Q, R  \nQ, R  \n11) −13  \nZ, Q, R  \n13) 437255  \nQ, R 15) 67  \nQ, R  \n17) − 196  \nZ, Q, R  \n12) π  \nI, R  \n14) 77  \nI, R  \n16) 0  \nW, Z, Q, R  \n18) −1  \nZ, Q, R  \n19)  \n−16  \n−2  \nN, W, Z, Q, R  \n20)   \nZ, Q, R  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaifg6Ib5XBKQy","https://ap.wps.com/l/cbCaifg6Ib5XBKQy","pdf",22167,"English","# Sets of Real Numbers - Practice Exercises\n## Answer Key","[{\"question\":\"What are the categories of real numbers covered in this worksheet?\",\"answer\":\"The worksheet covers Natural numbers (N), Whole numbers (W), Integers (Z), Rational numbers (Q), Irrational numbers (I), and Real numbers (R).\"},{\"question\":\"How are rational numbers different from irrational numbers in this context?\",\"answer\":\"Rational numbers (Q) can be expressed as a fraction of two integers, whereas irrational numbers (I), like pi, cannot be expressed as a simple fraction and have non-terminating, non-repeating decimal expansions.\"},{\"question\":\"What is the purpose of the answer key included in the document?\",\"answer\":\"The answer key allows students to verify their classifications for each of the twenty practice problems, facilitating self-correction and understanding of the classification process.\"}]","Sets of Real Numbers - Algebra 1 Worksheet | PDF",1791425872]