{"id":9658,"date":"2017-05-03T20:44:21","date_gmt":"2017-05-03T20:44:21","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9658"},"modified":"2017-09-24T14:17:23","modified_gmt":"2017-09-24T14:17:23","slug":"summary-classes-of-real-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/summary-classes-of-real-numbers\/","title":{"raw":"Summary: Classes of Real Numbers","rendered":"Summary: Classes of Real Numbers"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-693\">\r\n \t<li><strong>Real numbers<\/strong><\/li>\r\n<\/ul>\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222311\/CNX_BMath_Figure_07_01_001.png\" alt=\"The image shows a large rectangle labeled \" \/>\r\n<h2><\/h2>\r\n<h2>Glossary:<\/h2>\r\n<dl id=\"fs-id1310436\" class=\"definition\">\r\n \t<dt><strong>Irrational number<\/strong><\/dt>\r\n \t<dd id=\"fs-id1166494771196\">A\u00a0number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1166491228200\" class=\"definition\">\r\n \t<dt><strong>Rational number<\/strong><\/dt>\r\n \t<dd id=\"fs-id1166491428926\">A\u00a0number that can be written in the form [latex]{\\Large\\frac{p}{q}}[\/latex] , where <em>p<\/em> and <em>q<\/em> are integers and [latex]q\\ne 0[\/latex] . Its decimal form stops or repeats.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1712159\" class=\"definition\">\r\n \t<dt><strong>Real number:<\/strong><\/dt>\r\n \t<dd id=\"fs-id1166497278296\">A\u00a0number that is either rational or irrational.<\/dd>\r\n<\/dl>\r\n&nbsp;","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-693\">\n<li><strong>Real numbers<\/strong><\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24222311\/CNX_BMath_Figure_07_01_001.png\" alt=\"The image shows a large rectangle labeled\" \/><\/p>\n<h2><\/h2>\n<h2>Glossary:<\/h2>\n<dl id=\"fs-id1310436\" class=\"definition\">\n<dt><strong>Irrational number<\/strong><\/dt>\n<dd id=\"fs-id1166494771196\">A\u00a0number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.<\/dd>\n<\/dl>\n<dl id=\"fs-id1166491228200\" class=\"definition\">\n<dt><strong>Rational number<\/strong><\/dt>\n<dd id=\"fs-id1166491428926\">A\u00a0number that can be written in the form [latex]{\\Large\\frac{p}{q}}[\/latex] , where <em>p<\/em> and <em>q<\/em> are integers and [latex]q\\ne 0[\/latex] . Its decimal form stops or repeats.<\/dd>\n<\/dl>\n<dl id=\"fs-id1712159\" class=\"definition\">\n<dt><strong>Real number:<\/strong><\/dt>\n<dd id=\"fs-id1166497278296\">A\u00a0number that is either rational or irrational.<\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-9658\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":5,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","CANDELA_OUTCOMES_GUID":"282b3570-c998-42d5-bec0-bc484f57e110","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9658","chapter","type-chapter","status-publish","hentry"],"part":7349,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9658","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":7,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9658\/revisions"}],"predecessor-version":[{"id":15200,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9658\/revisions\/15200"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7349"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9658\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=9658"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=9658"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=9658"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=9658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}