{"id":10368,"date":"2017-05-26T18:49:21","date_gmt":"2017-05-26T18:49:21","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10368"},"modified":"2024-04-30T16:34:38","modified_gmt":"2024-04-30T16:34:38","slug":"summary-exploring-the-relationship-between-decimals-and-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/summary-exploring-the-relationship-between-decimals-and-fractions\/","title":{"raw":"Summary: Exploring the Relationship Between Decimals and Fractions","rendered":"Summary: Exploring the Relationship Between Decimals and Fractions"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul id=\"eip-372\">\r\n \t<li><strong>Convert a Fraction to a Decimal<\/strong> To convert a fraction to a decimal, divide the numerator of the fraction by the denominator of the fraction.<\/li>\r\n \t<li><strong>Properties of Circles<\/strong>\r\n<img class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221638\/CNX_BMath_Figure_05_03_012_img.png\" alt=\"A circle of radius r and diameter d\" width=\"211\" height=\"211\" \/><\/li>\r\n<\/ul>\r\n&nbsp;\r\n<p style=\"padding-left: 60px;\">[latex]r[\/latex] is the length of the radius<\/p>\r\n<p style=\"padding-left: 60px;\">[latex]d[\/latex] is the length of the diameter<\/p>\r\n<p style=\"padding-left: 60px;\">The circumference is [latex]2\\pi r[\/latex] , [latex]C=2\\pi r[\/latex]<\/p>\r\n<p style=\"padding-left: 60px;\">The area is [latex]\\pi {r}^{2}[\/latex] , [latex]A=\\pi {r}^{2}[\/latex]<\/p>\r\n\r\n<h2>Glossary<\/h2>\r\n<dl class=\"definition\">\r\n \t<dt>circumference of a circle<\/dt>\r\n \t<dd id=\"fs-id1595092\">The distance around a circle is called its circumference.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id2817472\" class=\"definition\">\r\n \t<dt>diameter of a circle<\/dt>\r\n \t<dd id=\"fs-id2478328\">A diameter of a circle is a line segment that passes through a circle\u2019s center connecting two points on the circle.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id3230973\" class=\"definition\">\r\n \t<dt>radius of a circle<\/dt>\r\n \t<dd id=\"fs-id2150616\">A radius of a circle is a line segment from the center to any point on the circle.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1475111\" class=\"definition\">\r\n \t<dt>repeating decimal<\/dt>\r\n \t<dd id=\"fs-id1275536\">A repeating decimal is a decimal in which the last digit or group of digits repeats endlessly.<\/dd>\r\n<\/dl>","rendered":"<h2>Key Concepts<\/h2>\n<ul id=\"eip-372\">\n<li><strong>Convert a Fraction to a Decimal<\/strong> To convert a fraction to a decimal, divide the numerator of the fraction by the denominator of the fraction.<\/li>\n<li><strong>Properties of Circles<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221638\/CNX_BMath_Figure_05_03_012_img.png\" alt=\"A circle of radius r and diameter d\" width=\"211\" height=\"211\" \/><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"padding-left: 60px;\">[latex]r[\/latex] is the length of the radius<\/p>\n<p style=\"padding-left: 60px;\">[latex]d[\/latex] is the length of the diameter<\/p>\n<p style=\"padding-left: 60px;\">The circumference is [latex]2\\pi r[\/latex] , [latex]C=2\\pi r[\/latex]<\/p>\n<p style=\"padding-left: 60px;\">The area is [latex]\\pi {r}^{2}[\/latex] , [latex]A=\\pi {r}^{2}[\/latex]<\/p>\n<h2>Glossary<\/h2>\n<dl class=\"definition\">\n<dt>circumference of a circle<\/dt>\n<dd id=\"fs-id1595092\">The distance around a circle is called its circumference.<\/dd>\n<\/dl>\n<dl id=\"fs-id2817472\" class=\"definition\">\n<dt>diameter of a circle<\/dt>\n<dd id=\"fs-id2478328\">A diameter of a circle is a line segment that passes through a circle\u2019s center connecting two points on the circle.<\/dd>\n<\/dl>\n<dl id=\"fs-id3230973\" class=\"definition\">\n<dt>radius of a circle<\/dt>\n<dd id=\"fs-id2150616\">A radius of a circle is a line segment from the center to any point on the circle.<\/dd>\n<\/dl>\n<dl id=\"fs-id1475111\" class=\"definition\">\n<dt>repeating decimal<\/dt>\n<dd id=\"fs-id1275536\">A repeating decimal is a decimal in which the last digit or group of digits repeats endlessly.<\/dd>\n<\/dl>\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-10368\">\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":19,"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":"04ed9b11318d40b88734d76cee05b734","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10368","chapter","type-chapter","status-publish","hentry"],"part":6986,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":11,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10368\/revisions"}],"predecessor-version":[{"id":20377,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10368\/revisions\/20377"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/parts\/6986"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/10368\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/media?parent=10368"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapter-type?post=10368"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/contributor?post=10368"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/license?post=10368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}