{"id":3672,"date":"2022-02-05T20:23:43","date_gmt":"2022-02-05T20:23:43","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3672"},"modified":"2022-03-04T13:29:08","modified_gmt":"2022-03-04T13:29:08","slug":"rational-numbers","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/rational-numbers\/","title":{"rendered":"Rational Numbers"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Rational Numbers<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Rational numbers are one very common type of number that we usually study after integers in math. These numbers are in the form of <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{p}{q}\" alt=\"\\fn_phv \\frac{p}{q}\" align=\"absmiddle\" \/>, where <strong>p<\/strong> and <strong>q<\/strong> can be any integer and <strong>q \u2260 0<\/strong>. Most often people find it confusing to differentiate between fractions and rational numbers because of the basic structure of numbers, that is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{p}{q}\" alt=\"\\fn_phv \\frac{p}{q}\" align=\"absmiddle\" \/>\u00a0form. Fractions are made up of whole numbers while rational numbers are made up of integers as their numerator and denominator. The word “Rational” originated from the word “ratio”. So, rational numbers are very well related to the ratio concept of ratio.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]Use the diagram, go through the number classifications, working from the outside in.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-real-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-5492\" style=\"margin-top: 10px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1637748707089.svg\" alt=\"\" width=\"413\" height=\"241\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Which category does this number belong to?<\/strong><\/span><br \/>\n<img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;7.2%\" alt=\"\\fn_phv 7.2%\" align=\"absmiddle\" \/><\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Rational numbers can all be written as fractions.<\/p>\n<p><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;7.2%&space;=&space;\\frac{72}{100}\" alt=\"\\fn_phv 7.2% = \\frac{72}{100}\" align=\"absmiddle\" \/><\/p>\n<p>Thus, <span style=\"color: red;\"><strong>7.2<\/strong><\/span> is a rational number.<\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Rational Numbers[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Select all of the rational numbers.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/rational-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3674 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/21-7.png\" alt=\"Rational Numbers - Practice Problem 1\" width=\"177\" height=\"118\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/rational-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Select all of the categories that this number belongs to.<br \/>\n<\/strong><\/span><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;-5\" alt=\"\\fn_phv -5\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-real-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3160 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-15.png\" alt=\"Rational Numbers - Practice Problem 2\" width=\"239\" height=\"90\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-real-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Select all of the categories that this number belongs to.<br \/>\n<\/strong><\/span><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\sqrt{20}\" alt=\"\\fn_phv \\sqrt{20}\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-real-numbers\"><img loading=\"lazy\" class=\"alignnone wp-image-3160 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-15.png\" alt=\"Rational Numbers - Practice Problem 3\" width=\"239\" height=\"90\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/compare-real-numbers”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Real Numbers:<\/strong> The set of rational numbers together with the set of irrational numbers.<\/p>\n<p><strong>Rational Number<\/strong> – is a real number that can be written as a ratio of two integers (i.e. a simple fraction).<\/p>\n<p><strong>Irrational Number<\/strong> – is a real number that cannot be written as a simple fraction.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skill<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/compare-and-order-rational-numbers\"><span style=\"color: #ed5600;\">Compare and Order Rational Numbers<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635248422988{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-right-color: #333399 !important;border-top-color: #333399 !important;border-bottom-color: #333399 !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/terminating-and-repeating-decimals\"><span style=\"color: #333399;\">Terminating and Repeating Decimals<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/compare-and-order-rational-numbers\"><span style=\"color: #333399;\">Compare and Order Rational Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-like-fractions\"><span style=\"color: #333399;\">Add and Subtract Like Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-unlike-fractions\"><span style=\"color: #333399;\">Add and Subtract Unlike Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-and-subtract-mixed-numbers\"><span style=\"color: #333399;\">Add and Subtract Mixed Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/multiply-rational-numbers\"><span style=\"color: #333399;\">Multiply Rational Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/divide-rational-numbers\"><span style=\"color: #333399;\">Divide Rational Numbers<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/convert-units\"><span style=\"color: #333399;\">Convert Units<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Addition” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Division” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fdivision|title:Division||”][vc_btn title=”Fractions” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||”][vc_btn title=”Subtraction” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fsubtraction|title:Subtraction||”][vc_btn title=”Word Problems” color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Rational Numbers [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Rational numbers are one very common type of number that we usually study after integers in math. These numbers are in the form of , where p and q […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rational Numbers | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Rational numbers are one very common type of number that we usually study after integers in math. 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