{"id":23718,"date":"2026-08-09T23:57:05","date_gmt":"2026-08-09T23:57:05","guid":{"rendered":"https:\/\/ideerepas.milaf.ma\/?p=23718"},"modified":"2026-08-09T23:57:05","modified_gmt":"2026-08-09T23:57:05","slug":"seuls-les-plus-attentifs-trouvent-la-reponse-exacte-reponse-au-premier-commentaire%f0%9f%91%87-3","status":"publish","type":"post","link":"https:\/\/ideerepas.milaf.ma\/?p=23718","title":{"rendered":"Seuls les plus attentifs trouvent la r\u00e9ponse exacte ! Reponse au premier commentaire\ud83d\udc47"},"content":{"rendered":"

Les petits d\u00e9fis math\u00e9matiques de niveau coll\u00e8ge font partie des contenus les plus viraux du web. Une image montrant un calcul inscrit dans la paume d\u2019une main fait actuellement fureur sur Facebook. La promesse est provocante :\u00a0\u00ab Termine ceci si tu es g\u00e9nie. 2 \u2013 2 \u00d7 3 + 3. 95% \u00e9chec \u00bb<\/i>.<\/p>\n

Math\u00e9matiques<\/div>\n

En lisant ce\u00a0\u00a0calcul<\/span>\u00a0ultra-court, la r\u00e9action imm\u00e9diate de la majorit\u00e9 des internautes est de r\u00e9pondre en quelques secondes. Pourtant, les espaces de commentaires se d\u00e9chirent avec des r\u00e9ponses totalement diff\u00e9rentes :\u00a03<\/b>,\u00a0-7<\/b>,\u00a01<\/b>\u00a0ou encore\u00a0-1<\/b>. Pourquoi une \u00e9quation si simple provoque-t-elle autant de d\u00e9saccord ?<\/p>\n

Pourquoi 95% des gens se trompent ?<\/b><\/h4>\n

L\u2019erreur ne provient pas d\u2019un manque de logique, mais d\u2019un oubli des r\u00e8gles de priorit\u00e9 des op\u00e9rations (la r\u00e8gle bien connue sous le sigle\u00a0PEMDAS<\/b>\u00a0ou\u00a0BODMAS<\/b>). Notre cerveau a naturellement tendance \u00e0 lire de gauche \u00e0 droite, ce qui conduit \u00e0 deux pi\u00e8ges tr\u00e8s fr\u00e9quents :<\/p>\n

 <\/p>\n

\n
\n
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<\/div>\n<\/div>\n<\/div>\n<\/div>\n
    \n
  • \n

    Le pi\u00e8ge de la lecture directe (de gauche \u00e0 droite) :<\/b><\/p>\n

    Certains calculent d\u2019abord\u00a0$2 \u2013 2 = 0$<\/span>, puis multiplient par\u00a0$3$<\/span>\u00a0($0 \\times 3 = 0$<\/span>), et ajoutent enfin\u00a0$3$<\/span>. Ils trouvent ainsi\u00a03<\/b>.<\/p>\n<\/li>\n

  • \n

    Le pi\u00e8ge du PEMDAS mal appliqu\u00e9 :<\/b><\/p>\n

    Math\u00e9matiques<\/div>\n

    D\u2019autres se souviennent que l\u2019addition vient avant la soustraction dans le mot PEMDAS et font\u00a0$3 + 3 = 6$<\/span>\u00a0\u00e0 la fin, obtenant\u00a0$2 \u2013 6 = -4$<\/span>\u00a0ou d\u2019autres variations erron\u00e9es comme\u00a0$2 \u2013 (6 + 3) = -7$<\/span>.<\/p>\n<\/li>\n<\/ul>\n

    La r\u00e9solution \u00e9tape par \u00e9tape : La r\u00e8gle absolue<\/b><\/h4>\n

    En\u00a0\u00a0math\u00e9matiques<\/span>, la\u00a0multiplication est prioritaire<\/b>\u00a0sur l\u2019addition et la soustraction. De plus, l\u2019addition et la soustraction ont la m\u00eame priorit\u00e9 et s\u2019effectuent simplement de gauche \u00e0 droite.<\/p>\n

    Voici le d\u00e9roulement exact :<\/p>\n

      \n
    1. \n

      Priorit\u00e9 \u00e0 la multiplication :<\/b><\/p>\n

      \n
      $$2 \\times 3 = 6$$<\/div>\n<\/div>\n

      L\u2019expression devient alors :\u00a0$2 \u2013 6 + 3$<\/span><\/p>\n<\/li>\n

    2. \n

      \u00a0Calcul<\/span>\u00a0de gauche \u00e0 droite :<\/b><\/p>\n

        \n
      • \n

        On commence par la soustraction :\u00a0$2 \u2013 6 = -4$<\/span><\/p>\n<\/li>\n

      • \n

        On termine par l\u2019addition :\u00a0$-4 + 3 = -1$<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n

        La r\u00e9ponse finale incontestable<\/b><\/h4>\n

        Le r\u00e9sultat correct est\u00a0-1<\/b>\u00a0!<\/p>\n

        Toute autre r\u00e9ponse provient d\u2019une mauvaise application des priorit\u00e9s op\u00e9ratoires.<\/p>\n","protected":false},"excerpt":{"rendered":"

        Les petits d\u00e9fis math\u00e9matiques de niveau coll\u00e8ge font partie des contenus les plus viraux du web. Une image montrant un…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-23718","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23718","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23718"}],"version-history":[{"count":1,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23718\/revisions"}],"predecessor-version":[{"id":23723,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23718\/revisions\/23723"}],"wp:attachment":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}