{"id":8472,"date":"2023-09-28T23:23:51","date_gmt":"2023-09-28T22:23:51","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-math-calcul-litteral-niveau-moyen-cinquieme\/"},"modified":"2023-09-28T23:23:51","modified_gmt":"2023-09-28T22:23:51","slug":"exercice-math-calcul-litteral-niveau-moyen-cinquieme","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-math-calcul-litteral-niveau-moyen-cinquieme\/","title":{"rendered":"Exercice Math Calcul Litt\u00e9ral Niveau Moyen Cinqui\u00e8me"},"content":{"rendered":"<p>Points Importants du Cours <img decoding=\"async\" draggable=false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4da.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f9d0.svg\"><\/p>\n<p>Le calcul litt\u00e9ral implique l&rsquo;utilisation des lettres pour repr\u00e9senter les nombres dans une expression ou une \u00e9quation. Les expressions alg\u00e9briques (ou litt\u00e9rales) sont form\u00e9es de nombresde variables et d&rsquo;op\u00e9rations arithm\u00e9tiques.<\/p>\n<p>Par exemple :<\/p>\n<p>4a signifie 4 fois a.<\/p>\n<p>3bc signifie 3 fois b fois c.<\/p>\n<p>Consignes pour l&rsquo;exercice <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \u200d \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f469-200d-1f393.svg\"><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>Il y a quatre expressions \u00e0 simplifier ci-dessous. Les parties manquantes sont indiqu\u00e9es par un tiret (_). <\/p>\n<p>Votre t\u00e2che est de remplir les trous avec le nombre ou la lettre corrects pour compl\u00e9ter et simplifier l&rsquo;expression. Bonne chance! <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f60a.svg\"> <\/p>\n<p>1) _a   _a = _ (Iciles deux premiers trous doivent \u00eatre le m\u00eame nombre)<\/p>\n<p>2) 5_b &#8211; 2_b = _(Iciles deux premiers trous doivent \u00eatre la m\u00eame lettre)<\/p>\n<p>3) _p   q   p = _(Les trous n\u00e9cessitent une combinaison appropri\u00e9e du num\u00e9ro et des lettres)<\/p>\n<p>4) z * _(y-z)=_(Il faut utiliser convenablement les r\u00e8gles des op\u00e9rations sur les lettres )<\/p>\n<p>R\u00e9ponses aux Exercices <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f9e0.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2728\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2728.svg\"><\/p>\n<p>1) 7a   7a =14a <br \/>2) 5b &#8211; 2b=3b<br \/>3) 7p   q   p=8p q<br \/>4) z*(x-(y-z))=xz-yz zz<\/p>\n<p>Cet exercice convient parfaitement aux \u00e9l\u00e8ves de cinqui\u00e8me car il renforce leur compr\u00e9hension du calcul litt\u00e9ral en offrant des exemples concrets. Il entra\u00eene \u00e9galement leur capacit\u00e9 \u00e0 simplifier des expressions math\u00e9matiques complexesce qui est un point cl\u00e9 dans le programme de cette classe. <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4d8.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f44d.svg\"> L&rsquo;\u00e9valuation par les pairs aiderait \u00e9galement \u00e0 stimuler la collaboration constructive entre eux !<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Points Importants du Cours<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[7,19,5,4,318,1],"tags":[],"class_list":["post-8472","post","type-post","status-publish","format-standard","hentry","category-mathematiques","category-5eme","category-niveaux","category-matieres","category-pas-dadaptation-particuliere","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8472","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=8472"}],"version-history":[{"count":1,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8472\/revisions"}],"predecessor-version":[{"id":9504,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8472\/revisions\/9504"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}