{"id":8507,"date":"2023-09-29T20:50:00","date_gmt":"2023-09-29T19:50:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-math-equations-inequations-niveau-4eme-eleves-precoces\/"},"modified":"2023-08-21T14:54:35","modified_gmt":"2023-08-21T13:54:35","slug":"exercice-math-equations-inequations-niveau-4eme-eleves-precoces","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-math-equations-inequations-niveau-4eme-eleves-precoces\/","title":{"rendered":"Exercice Math Equations Inequations Niveau 4\u00e8me El\u00e8ves Pr\u00e9coces"},"content":{"rendered":"<p>Points importants du cours :<br \/>En math\u00e9matiques, une \u00e9quation est une \u00e9galit\u00e9 entre deux expressions, comportant une ou plusieurs inconnues. Pour r\u00e9soudre une \u00e9quation, on cherche les valeurs de ces inconnues qui rendent l&rsquo;\u00e9galit\u00e9 vraie. <img decoding=\"async\" draggable=false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f3af.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f9ee.svg\"><\/p>\n<p>Une in\u00e9quation est semblable \u00e0 une \u00e9quationsauf qu&rsquo;au lieu d&rsquo;une \u00e9galit\u00e9nous avons soit \u00a0\u00bb\u2264&rsquo; ou &lsquo;\u2265&rsquo;. Encore ici pour r\u00e9soudre l&rsquo;in\u00e9quation on cherche des valeurs qui rendent cette relation vraie. <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4a1.svg\"><\/p>\n<p>Consignes de l&rsquo;exercice :<br \/>Remplissez les trous dans les \u00e9quations et in\u00e9quations suivantes :<\/p>\n<p>1) 2x   <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2b1c\ufe0f\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2b1c.svg\"> = 12<br \/>2) 3y &#8211; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2b1c\ufe0f\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2b1c.svg\">  8 <\/p>\n<p>Aide : Vous devez chercher la valeur num\u00e9rique qui compl\u00e8te correctement ces relations.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4ab.svg\"> R\u00e9ponses :<\/p>\n<p>1) Si le trou \u00e9tait rempli par le num\u00e9ro __6__alors notre \u00e9quation serait totalement satisfaite! <br \/>Parce que si x = 3 (par exemple)alors 2*3   __6__ fait bien effectivement <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\">12.  <\/p>\n<p>2) Si notre petit carr\u00e9 \u00e9tait rempli par __6__alors cette relation aussi serait vraie!<br \/>Car si y =5 (par exemple)on a bien que <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\">3*5 &#8211; __6__ ()9.<\/p>\n<p>3) Enfin pour le dernier cas..si ce petit carr\u00e8 est remplac\u00e9e par __16__voila enfin notre derniere relation vrai!<br \/>Si z=4 (par exemple)donc<img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u203c\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/203c.svg\">z\/4 16 (&gt;ou&lt;)8.<\/p>\n<p>Cet exercice convient particuli\u00e8rement aux \u00e9l\u00e8ves pr\u00e9coces car il stimule leur capacit\u00e9 \u00e0 raisonner rapidement et \u00e0 faire preuve de cr\u00e9ativit\u00e9 pour trouver la bonne r\u00e9ponse.<br \/>Ils peuvent faire cet exercice en auto-\u00e9valuation pour v\u00e9rifier leur compr\u00e9hension du sujet et mesurer leurs progr\u00e8s.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Points importants du cours :En math\u00e9matiques, une \u00e9quation est une \u00e9galit\u00e9 entre deux expressions, comportant une ou plusieurs inconnues. Pour r\u00e9soudre une \u00e9quation, on cherche les valeurs de ces inconnues qui rendent l&rsquo;\u00e9galit\u00e9 vraie.<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[52,7,27,6,5,4,1],"tags":[],"class_list":["post-8507","post","type-post","status-publish","format-standard","hentry","category-4eme","category-mathematiques","category-precoces","category-accessibilite","category-niveaux","category-matieres","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8507","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8507"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8507\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8507"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8507"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}