{"id":6201,"date":"2020-09-05T11:43:48","date_gmt":"2020-09-05T09:43:48","guid":{"rendered":"http:\/\/clubmathswillyronis.free.fr\/?p=6201"},"modified":"2025-12-22T08:30:11","modified_gmt":"2025-12-22T07:30:11","slug":"chap-8-introduction-aux-nombres-relatifs","status":"publish","type":"post","link":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/","title":{"rendered":"Chapitre 8 : Introduction aux nombres relatifs"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"6201\" class=\"elementor elementor-6201\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-72fa5a89 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"72fa5a89\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z M242.4,8.6\tc0,0-2.4-0.2-5.6-0.9c-3.2-0.8-10.3-2.8-15.1-3.5c-8.2-1.1-15.8,0-15.1,0.1c0.8,0.1,9.6-0.6,17.6,1.1c3.3,0.7,9.3,2.2,12.4,2.7\tC239.9,8.7,242.4,8.6,242.4,8.6z M185.2,8.5c1.7-0.7-13.3,4.7-18.5,6.1c-2.1,0.6-6.2,1.6-10,2c-3.9,0.4-8.9,0.4-8.8,0.5\tc0,0.2,5.8,0.8,11.2,0c5.4-0.8,5.2-1.1,7.6-1.6C170.5,14.7,183.5,9.2,185.2,8.5z M199.1,6.9c0.2,0-0.8-0.4-4.8,1.1\tc-4,1.5-6.7,3.5-6.9,3.7c-0.2,0.1,3.5-1.8,6.6-3C197,7.5,199,6.9,199.1,6.9z M283,6c-0.1,0.1-1.9,1.1-4.8,2.5s-6.9,2.8-6.7,2.7\tc0.2,0,3.5-0.6,7.4-2.5C282.8,6.8,283.1,5.9,283,6z M31.3,11.6c0.1-0.2-1.9-0.2-4.5-1.2s-5.4-1.6-7.8-2C15,7.6,7.3,8.5,7.7,8.6\tC8,8.7,15.9,8.3,20.2,9.3c2.2,0.5,2.4,0.5,5.7,1.6S31.2,11.9,31.3,11.6z M73,9.2c0.4-0.1,3.5-1.6,8.4-2.6c4.9-1.1,8.9-0.5,8.9-0.8\tc0-0.3-1-0.9-6.2-0.3S72.6,9.3,73,9.2z M71.6,6.7C71.8,6.8,75,5.4,77.3,5c2.3-0.3,1.9-0.5,1.9-0.6c0-0.1-1.1-0.2-2.7,0.2\tC74.8,5.1,71.4,6.6,71.6,6.7z M93.6,4.4c0.1,0.2,3.5,0.8,5.6,1.8c2.1,1,1.8,0.6,1.9,0.5c0.1-0.1-0.8-0.8-2.4-1.3\tC97.1,4.8,93.5,4.2,93.6,4.4z M65.4,11.1c-0.1,0.3,0.3,0.5,1.9-0.2s2.6-1.3,2.2-1.2s-0.9,0.4-2.5,0.8C65.3,10.9,65.5,10.8,65.4,11.1\tz M34.5,12.4c-0.2,0,2.1,0.8,3.3,0.9c1.2,0.1,2,0.1,2-0.2c0-0.3-0.1-0.5-1.6-0.4C36.6,12.8,34.7,12.4,34.5,12.4z M152.2,21.1\tc-0.1,0.1-2.4-0.3-7.5-0.3c-5,0-13.6-2.4-17.2-3.5c-3.6-1.1,10,3.9,16.5,4.1C150.5,21.6,152.3,21,152.2,21.1z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M269.6,18c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC267.7,18.8,269.7,18,269.6,18z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M227.4,9.8c-0.2-0.1-4.5-1-9.5-1.2c-5-0.2-12.7,0.6-12.3,0.5c0.3-0.1,5.9-1.8,13.3-1.2\tS227.6,9.9,227.4,9.8z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M204.5,13.4c-0.1-0.1,2-1,3.2-1.1c1.2-0.1,2,0,2,0.3c0,0.3-0.1,0.5-1.6,0.4\tC206.4,12.9,204.6,13.5,204.5,13.4z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M201,10.6c0-0.1-4.4,1.2-6.3,2.2c-1.9,0.9-6.2,3.1-6.1,3.1c0.1,0.1,4.2-1.6,6.3-2.6\tS201,10.7,201,10.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5b96af9a\" data-id=\"5b96af9a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-65346b4a elementor-widget elementor-widget-heading\" data-id=\"65346b4a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 8<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7ab91bac elementor-widget elementor-widget-heading\" data-id=\"7ab91bac\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Introduction aux nombres relatifs<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-61c181e9 elementor-widget elementor-widget-text-editor\" data-id=\"61c181e9\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-96ca872\" data-id=\"96ca872\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44e08954 elementor-widget elementor-widget-image\" data-id=\"44e08954\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-300x300.png\" class=\"attachment-medium size-medium wp-image-10183\" alt=\"cours de 5\u00e8me\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-300x300.png 300w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-150x150.png 150w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-768x766.png 768w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png 914w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b765601 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b765601\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3f5d522\" data-id=\"3f5d522\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-63fb35d elementor-widget elementor-widget-spacer\" data-id=\"63fb35d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ce2a343 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ce2a343\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-73c2d7b\" data-id=\"73c2d7b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-98572d0 elementor-widget elementor-widget-heading\" data-id=\"98572d0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 8 : Introduction aux nombres relatifs<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-77b38be elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"77b38be\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2ca39c9\" data-id=\"2ca39c9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-33b4467 elementor-widget elementor-widget-spacer\" data-id=\"33b4467\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d194b6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6d194b6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-32a9d8d\" data-id=\"32a9d8d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-90bba88 elementor-widget elementor-widget-heading\" data-id=\"90bba88\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">A) Les nombres relatifs<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f65b75a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f65b75a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1d64ccf\" data-id=\"1d64ccf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cb2d5ff elementor-widget elementor-widget-text-editor\" data-id=\"cb2d5ff\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>On peut effectuer des soustractions pour lesquelles le 1er nombre est plus petit que le 2\u00e8me, le r\u00e9sultat est un <span style=\"color: #ff0000;\"><strong>nombre<\/strong><\/span><br \/><span style=\"color: #ff0000;\"><strong>n\u00e9gatif<\/strong><\/span>, il s\u2019\u00e9crit avec un signe \u00ab\u00a0-\u00ab\u00a0.<\/p><p style=\"text-align: center;\">\\[7-9=3-5=1-3=0-2=(-2)\\]\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c102bcf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c102bcf\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1885419\" data-id=\"1885419\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a423244 elementor-widget elementor-widget-text-editor\" data-id=\"a423244\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><br \/>\u2022 $7 256$ est un nombre positif.<br \/>\u2022 $(\u221225,6)$ est un nombre n\u00e9gatif.<br \/>\u2022 $0$ est \u00e0 la fois un nombre positif et un nombre n\u00e9gatif.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a711ae8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a711ae8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3c3c54b\" data-id=\"3c3c54b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-30dff53 elementor-widget elementor-widget-text-editor\" data-id=\"30dff53\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Remarque :<\/strong> On peut donc d\u00e9sormais compl\u00e9ter des \u00e9galit\u00e9s du type $9+&#8230;=7$ ! En effet :<\/p><p style=\"text-align: center;\">\\[9+(-2)=7\\]\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-213202d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"213202d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-582fea4\" data-id=\"582fea4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0253e74 elementor-widget elementor-widget-text-editor\" data-id=\"0253e74\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Les nombres n\u00e9gatifs et les nombres positifs font partis d\u2019un ensemble appel\u00e9 l\u2019ensemble des <strong><span style=\"color: #ff0000;\">nombres<\/span> <span style=\"color: #ff0000;\">relatifs<\/span><\/strong>.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-21ba194 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"21ba194\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2d90221\" data-id=\"2d90221\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4fe70a elementor-widget elementor-widget-spacer\" data-id=\"b4fe70a\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-465ea37 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"465ea37\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1a5513d\" data-id=\"1a5513d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b751cf9 elementor-widget elementor-widget-heading\" data-id=\"b751cf9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">B) Oppos\u00e9s<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7c05d75 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7c05d75\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2c938bc\" data-id=\"2c938bc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-53f54e3 elementor-widget elementor-widget-text-editor\" data-id=\"53f54e3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Deux nombres sont <span style=\"color: #ff0000;\"><strong>oppos\u00e9s<\/strong><\/span> quand leur somme vaut z\u00e9ro.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9fb7503 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9fb7503\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e640de1\" data-id=\"e640de1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4bcd89c elementor-widget elementor-widget-text-editor\" data-id=\"4bcd89c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong><\/p><p>\\[7+(-7)=0\\]Les deux nombres $(-7)$ et $7$ sont oppos\u00e9s.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-755e340 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"755e340\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2399803\" data-id=\"2399803\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b53f2bf elementor-widget elementor-widget-spacer\" data-id=\"b53f2bf\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ebc945a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ebc945a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4c5b1a2\" data-id=\"4c5b1a2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-35066c1 elementor-widget elementor-widget-heading\" data-id=\"35066c1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">C) Rep\u00e9rage sur une droite gradu\u00e9e<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ffa42db elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ffa42db\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-40b19d1\" data-id=\"40b19d1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0cec2db elementor-widget elementor-widget-text-editor\" data-id=\"0cec2db\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Sur une droite gradu\u00e9e, <span style=\"color: #ff0000;\"><strong>la distance \u00e0 z\u00e9ro<\/strong><\/span> d\u2019un nombre relatif correspond \u00e0 la distance entre ce point et l\u2019origine de la droite.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cfb05b2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cfb05b2\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ec9bcc4\" data-id=\"ec9bcc4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-86ba93f elementor-widget elementor-widget-text-editor\" data-id=\"86ba93f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong> Sur cette droite gradu\u00e9e, l\u2019abscisse de $A$ est $(\u22122)$, l\u2019abscisse de $B$ est $2$.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aec1a36 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aec1a36\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f051bfb\" data-id=\"f051bfb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ee2f8e1 elementor-widget elementor-widget-image\" data-id=\"ee2f8e1\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"824\" height=\"122\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/nombres-relatifs-droite-graduee.png\" class=\"attachment-large size-large wp-image-11809\" alt=\"Des nombres relatifs plac\u00e9s sur une droite gradu\u00e9e\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/nombres-relatifs-droite-graduee.png 824w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/nombres-relatifs-droite-graduee-300x44.png 300w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/nombres-relatifs-droite-graduee-768x114.png 768w\" sizes=\"auto, (max-width: 824px) 100vw, 824px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1488272 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1488272\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7220f14\" data-id=\"7220f14\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62ec72b elementor-widget elementor-widget-text-editor\" data-id=\"62ec72b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>La distance \u00e0 z\u00e9ro du nombre $(\u22122)$ est $2$.<br \/>La distance \u00e0 z\u00e9ro du nombre $2$ est $2$.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fa592ef elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fa592ef\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-baee750\" data-id=\"baee750\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cbd0431 elementor-widget elementor-widget-text-editor\" data-id=\"cbd0431\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Remarque :<\/strong> Sur la droite gradu\u00e9e ci-dessus, les points $A$ et $B$ sont sym\u00e9triques par rapport \u00e0 l\u2019origine $O$. Les nombres<br \/>$2$ et $(\u22122)$ sont oppos\u00e9s.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-def8c82 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"def8c82\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a407f28\" data-id=\"a407f28\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9ccd094 elementor-widget elementor-widget-video\" data-id=\"9ccd094\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/SOVu9C5VhtU?si=GRlc7aRyAj0zBO7I&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ad70489 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ad70489\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4fe7a00\" data-id=\"4fe7a00\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-653f725 elementor-widget elementor-widget-spacer\" data-id=\"653f725\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e1de2e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e1de2e8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1b5ed53\" data-id=\"1b5ed53\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b308a1e elementor-widget elementor-widget-heading\" data-id=\"b308a1e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">D) Comparer des nombres relatifs<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dbcee95 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dbcee95\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ff75d72\" data-id=\"ff75d72\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9231400 elementor-widget elementor-widget-text-editor\" data-id=\"9231400\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>R\u00e8gles :<\/strong><\/p><ul><li>Si deux nombres sont positifs, le plus grand est celui qui est le plus \u00e9loign\u00e9 de z\u00e9ro.<\/li><li>Un nombre n\u00e9gatif est toujours plus petit qu\u2019un nombre positif.<\/li><li>Si deux nombres sont n\u00e9gatifs, le plus grand est celui qui est le plus proche de z\u00e9ro.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8a07d14 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8a07d14\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-016e2b5\" data-id=\"016e2b5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a8b551c elementor-widget elementor-widget-text-editor\" data-id=\"a8b551c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p><p style=\"text-align: center;\">$-5,3&lt;-3$<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-89d19e0\" data-id=\"89d19e0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-475519f elementor-widget elementor-widget-text-editor\" data-id=\"475519f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u00a0<\/p><p style=\"text-align: center;\">$-200&lt;7,01$<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c9ef6c8\" data-id=\"c9ef6c8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8b09f06 elementor-widget elementor-widget-text-editor\" data-id=\"8b09f06\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>\u00a0<\/p><p style=\"text-align: center;\">$4,49&lt;4,7$<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f3d06a1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f3d06a1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-363e02c\" data-id=\"363e02c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4a06231 elementor-widget elementor-widget-video\" data-id=\"4a06231\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/3ATSuK8p7KQ&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f08074f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f08074f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f1655ae\" data-id=\"f1655ae\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a2bb2e elementor-widget elementor-widget-spacer\" data-id=\"1a2bb2e\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cda80c5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cda80c5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a00b06e\" data-id=\"a00b06e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0dca1c0 elementor-widget elementor-widget-heading\" data-id=\"0dca1c0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">E) Rep\u00e9rage dans le plan<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6834940 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6834940\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cab8ab5\" data-id=\"cab8ab5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-37a08f3 elementor-widget elementor-widget-text-editor\" data-id=\"37a08f3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Un rep\u00e8re du plan est constitu\u00e9 de deux droites gradu\u00e9es (ou <strong><span style=\"color: #ff0000;\">axes<\/span><\/strong>) de m\u00eame origine $O$. $O$ est <strong><span style=\"color: #ff0000;\">l\u2019origine du rep\u00e8re<\/span><\/strong>.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5ec565b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5ec565b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-96e643f\" data-id=\"96e643f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f26517f elementor-widget elementor-widget-text-editor\" data-id=\"f26517f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Dans un rep\u00e8re, chaque point est rep\u00e9r\u00e9 par deux nombres relatifs :<\/p><ul><li>Le premier nombre, lu sur l\u2019axe horizontal, est appel\u00e9 l\u2019<strong><span style=\"color: #ff0000;\">abscisse<\/span><\/strong> du point.<\/li><li>Le second nombre, lu sur l\u2019axe vertical, est appel\u00e9 l\u2019<strong><span style=\"color: #008000;\">ordonn\u00e9e<\/span><\/strong> du point.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6d7aec0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6d7aec0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ce5f6ca\" data-id=\"ce5f6ca\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d5ac0f6 elementor-widget elementor-widget-text-editor\" data-id=\"d5ac0f6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemple :<\/strong><\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11823 size-full\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/repere-du-plan.png\" alt=\"Coordonn\u00e9es de points dans un rep\u00e8re du plan\" width=\"877\" height=\"563\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/repere-du-plan.png 877w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/repere-du-plan-300x193.png 300w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/09\/repere-du-plan-768x493.png 768w\" sizes=\"auto, (max-width: 877px) 100vw, 877px\" \/><\/p><p>Les coordonn\u00e9es du point $A$ sont : $(\\textcolor{red}{-4};\\textcolor{green}{3})$.<br \/>L\u2019abscisse de $A $est $(\u22124)$.<br \/>L\u2019ordonn\u00e9e de $A $est $3$.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ceba1e5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ceba1e5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2bf376d\" data-id=\"2bf376d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5cdba4d elementor-widget elementor-widget-video\" data-id=\"5cdba4d\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/383BRbN_YzM?si=ZfOMLEKyR-gVybo8&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a5d407a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a5d407a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b43682e\" data-id=\"b43682e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3b7bc9a elementor-widget elementor-widget-spacer\" data-id=\"3b7bc9a\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dd607dd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dd607dd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-158823e\" data-id=\"158823e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b48207b elementor-widget elementor-widget-text-editor\" data-id=\"b48207b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Bilan :<\/strong> Dans ce chapitre, je dois savoir :<\/p><ul><li>Lire l\u2019abscisse d\u2019un point sur une droite gradu\u00e9e ou placer un point d\u2019abscisse donn\u00e9e sur cette droite gradu\u00e9e.<\/li><li>Comparer des nombres relatifs.<\/li><li>Ranger des nombres relatifs dans l\u2019ordre croissant ou d\u00e9croissant.<\/li><li>Lire les coordonn\u00e9es d\u2019un point dans un rep\u00e8re ou placer un point de coordonn\u00e9es donn\u00e9es dans ce rep\u00e8re.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2bb2ff2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2bb2ff2\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5f41498\" data-id=\"5f41498\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5ae4b7e elementor-widget elementor-widget-spacer\" data-id=\"5ae4b7e\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5bf3a518 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5bf3a518\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1139746e\" data-id=\"1139746e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-38663c78 elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"38663c78\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/nuage02.apps.education.fr\/index.php\/s\/NE77nnGR4rSm7ge\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Exercices corrig\u00e9s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c4b0717 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c4b0717\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c21ffd6\" data-id=\"c21ffd6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b2bc6c0 elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"b2bc6c0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/creteil.college-willy-ronis.fr\/\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-right\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">J'acc\u00e8de \u00e0 d'autres documents<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-778bb0f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"778bb0f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0b7a8bc\" data-id=\"0b7a8bc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6d1155c elementor-widget elementor-widget-spacer\" data-id=\"6d1155c\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>L&rsquo;activit\u00e9, le cours, une droite gradu\u00e9e avec geogebra et des exercices corrig\u00e9s sur le chapitre \u00ab\u00a0introduction des nombres relatifs\u00a0\u00bb de 5\u00e8me. Des vid\u00e9os sur comment comparer deux nombres relatifs et comment placer un point dans un rep\u00e8re.<\/p>\n","protected":false},"author":7440,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[33],"tags":[],"class_list":["post-6201","post","type-post","status-publish","format-standard","hentry","category-cours-et-exercices-5eme"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me<\/title>\n<meta name=\"description\" content=\"Cours de math\u00e9matiques de 5\u00e8me sur l&#039;introduction aux nombres relatifs, l&#039;activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me\" \/>\n<meta property=\"og:description\" content=\"Cours de math\u00e9matiques de 5\u00e8me sur l&#039;introduction aux nombres relatifs, l&#039;activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\" \/>\n<meta property=\"og:url\" content=\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/\" \/>\n<meta property=\"og:site_name\" content=\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\" \/>\n<meta property=\"article:published_time\" content=\"2020-09-05T09:43:48+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-12-22T07:30:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png\" \/>\n\t<meta property=\"og:image:width\" content=\"914\" \/>\n\t<meta property=\"og:image:height\" content=\"912\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"eric_moisan@orange.fr\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"eric_moisan@orange.fr\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/\",\"name\":\"Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me\",\"isPartOf\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-300x300.png\",\"datePublished\":\"2020-09-05T09:43:48+00:00\",\"dateModified\":\"2025-12-22T07:30:11+00:00\",\"author\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\"},\"description\":\"Cours de math\u00e9matiques de 5\u00e8me sur l'introduction aux nombres relatifs, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail\",\"breadcrumb\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png\",\"contentUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png\",\"width\":914,\"height\":912,\"caption\":\"cours de 5\u00e8me\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/college-willy-ronis.fr\/maths\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Chapitre 8 : Introduction aux nombres relatifs\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/\",\"name\":\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\",\"description\":\"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\",\"name\":\"eric_moisan@orange.fr\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"caption\":\"eric_moisan@orange.fr\"},\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me","description":"Cours de math\u00e9matiques de 5\u00e8me sur l'introduction aux nombres relatifs, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/","og_locale":"fr_FR","og_type":"article","og_title":"Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me","og_description":"Cours de math\u00e9matiques de 5\u00e8me sur l'introduction aux nombres relatifs, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","og_url":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/","og_site_name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","article_published_time":"2020-09-05T09:43:48+00:00","article_modified_time":"2025-12-22T07:30:11+00:00","og_image":[{"width":914,"height":912,"url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png","type":"image\/png"}],"author":"eric_moisan@orange.fr","twitter_card":"summary_large_image","twitter_misc":{"\u00c9crit par":"eric_moisan@orange.fr","Dur\u00e9e de lecture estim\u00e9e":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/","url":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/","name":"Chapitre 8 : Introduction aux nombres relatifs - 5\u00e8me","isPartOf":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#website"},"primaryImageOfPage":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage"},"image":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage"},"thumbnailUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch-300x300.png","datePublished":"2020-09-05T09:43:48+00:00","dateModified":"2025-12-22T07:30:11+00:00","author":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc"},"description":"Cours de math\u00e9matiques de 5\u00e8me sur l'introduction aux nombres relatifs, l'activit\u00e9 du chapitre, les exercices corrig\u00e9s, le plan de travail","breadcrumb":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#primaryimage","url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png","contentUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2020\/10\/labyrinthe-scratch.png","width":914,"height":912,"caption":"cours de 5\u00e8me"},{"@type":"BreadcrumbList","@id":"https:\/\/college-willy-ronis.fr\/maths\/chap-8-introduction-aux-nombres-relatifs\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/college-willy-ronis.fr\/maths\/"},{"@type":"ListItem","position":2,"name":"Chapitre 8 : Introduction aux nombres relatifs"}]},{"@type":"WebSite","@id":"https:\/\/college-willy-ronis.fr\/maths\/#website","url":"https:\/\/college-willy-ronis.fr\/maths\/","name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","description":"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Person","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc","name":"eric_moisan@orange.fr","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","caption":"eric_moisan@orange.fr"},"url":"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/"}]}},"_links":{"self":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/6201","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/users\/7440"}],"replies":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/comments?post=6201"}],"version-history":[{"count":18,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/6201\/revisions"}],"predecessor-version":[{"id":19684,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/6201\/revisions\/19684"}],"wp:attachment":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/media?parent=6201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/categories?post=6201"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/tags?post=6201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}