{"id":23621,"date":"2026-08-08T13:01:50","date_gmt":"2026-08-08T13:01:50","guid":{"rendered":"https:\/\/ideerepas.milaf.ma\/?p=23621"},"modified":"2026-08-08T13:01:50","modified_gmt":"2026-08-08T13:01:50","slug":"cette-equation-parait-facile-mais-94-des-personnes-echouent-a-la-resoudre-voici-la-reponse%f0%9f%91%87-3","status":"publish","type":"post","link":"https:\/\/ideerepas.milaf.ma\/?p=23621","title":{"rendered":"Cette \u00e9quation para\u00eet facile, mais 94 % des personnes \u00e9chouent \u00e0 la r\u00e9soudre. Voici la reponse\ud83d\udc47"},"content":{"rendered":"

7 \u00d7 7 \u00f7 7 \u2013 1 + 7. \u00c7a para\u00eet basique, non ? Et pourtant\u2026 ce genre d\u2019\u00e9quation circule sur les r\u00e9seaux sociaux avec un d\u00e9fi : “Trouvez la r\u00e9ponse en moins de 10 secondes”. R\u00e9sultat ? Plus d\u2019une personne sur deux se trompe. Vous aussi, vous vous \u00eates lanc\u00e9e t\u00eate baiss\u00e9e dans les calculs ? Attendez\u2026 ce n\u2019est peut-\u00eatre pas aussi \u00e9vident qu\u2019il n\u2019y para\u00eet. Un d\u00e9tail essentiel change tout.<\/h2>\n
\n

L\u2019ordre des op\u00e9rations : la r\u00e8gle d\u2019or trop souvent oubli\u00e9e<\/h2>\n
<\/p>\n
\n
\n
\n
Voir plus<\/span><\/div>\n
Math\u00e9matiques<\/span><\/div>\n
Ressources pour r\u00e9dacteurs<\/span><\/div>\n
Enseignement primaire et secondaire<\/span><\/div>\n
<\/div>\n<\/div>\n<\/div>\n<\/div>\n

<\/ins><\/div>\n

Derri\u00e8re cette suite de chiffres se cache un pi\u00e8ge bien connu :\u00a0l\u2019ordre des op\u00e9rations<\/em><\/strong>.\u00a0Un classique en\u00a0\u00a0math\u00e9matiques<\/span>, mais qu\u2019on oublie facilement \u00e0 l\u2019\u00e2ge adulte.<\/em><\/strong>\u00a0Pourtant, il suffit d\u2019une erreur pour que toute l\u2019\u00e9quation soit fausse.<\/p>\n

Programmation<\/div>\n

En France, on apprend \u00e0 suivre la m\u00e9thode\u00a0PEMDAS\/BODMAS<\/em><\/strong>\u00a0(Parenth\u00e8ses, Exposants, Multiplication\/Division, Addition\/Soustraction).\u00a0Cela peut sembler scolaire, mais en r\u00e9alit\u00e9, c\u2019est plus simple qu\u2019il n\u2019y para\u00eet :<\/em><\/strong><\/p>\n

    \n
  • Parenth\u00e8ses<\/strong>\u00a0: on commence toujours par ce qu\u2019il y a entre parenth\u00e8ses.<\/li>\n
  • Exposants<\/strong>\u00a0(ou puissances) : les carr\u00e9s, les cubes, etc.<\/li>\n
  • Multiplication et division<\/strong>\u00a0:\u00a0dans l\u2019ordre d\u2019apparition, de gauche \u00e0 droite.<\/em><\/strong><\/li>\n
  • Addition et soustraction<\/strong>\u00a0: idem,\u00a0on suit l\u2019ordre de lecture.<\/em><\/strong><\/li>\n<\/ul>\n

    Et c\u2019est l\u00e0 que tout change. Car si vous avez fait les op\u00e9rations dans le d\u00e9sordre, votre r\u00e9sultat est\u2026 faux.<\/p>\n

    <\/p>\n
    \n
    \n
    \n
    Voir plus<\/span><\/div>\n
    Email<\/span><\/div>\n
    E-mail et messagerie<\/span><\/div>\n
    Ressources p\u00e9dagogiques<\/span><\/div>\n
    <\/div>\n<\/div>\n<\/div>\n<\/div>\n

    <\/ins><\/div>\n

    D\u00e9cryptage : \u00e9tape par \u00e9tape pour ne plus jamais se faire avoir<\/h2>\n\"\"<\/picture>Prenons notre \u00e9quation :
    \n7 \u00d7 7 \u00f7 7 \u2013 1 + 7<\/em><\/strong><\/p>\n
    Math\u00e9matiques<\/div>\n

    <\/p>\n

    \n
    \n
    \n
    Voir plus<\/span><\/div>\n
    Ressources pour r\u00e9dacteurs<\/span><\/div>\n
    Ressources p\u00e9dagogiques<\/span><\/div>\n
    Enseignement primaire et secondaire<\/span><\/div>\n
    <\/div>\n<\/div>\n<\/div>\n<\/div>\n

    <\/ins><\/em><\/strong><\/p>\n

    \n

    \u00c9tape 1 \u2013 Multiplication et division<\/h3>\n
    <\/p>\n
    \n
    \n
    \n
    Voir plus<\/span><\/div>\n
    E-mail et messagerie<\/span><\/div>\n
    email<\/span><\/div>\n
    Actualit\u00e9s des c\u00e9l\u00e9brit\u00e9s et du monde du spectacle<\/span><\/div>\n
    <\/div>\n<\/div>\n<\/div>\n<\/div>\n

    <\/ins><\/div>\n

    On commence par ces op\u00e9rations,\u00a0dans l\u2019ordre o\u00f9 elles apparaissent<\/em><\/strong>\u00a0:<\/p>\n

    7 \u00d7 7 = 49
    \n49 \u00f7 7 = 7<\/p>\n

    L\u2019\u00e9quation devient donc :
    \n7 \u2013 1 + 7<\/em><\/strong><\/p>\n

    Math\u00e9matiques<\/div>\n

    \u00c9tape 2 \u2013 Addition et soustraction<\/h3>\n

    Toujours de gauche \u00e0 droite :<\/p>\n

    7 \u2013 1 = 6
    \n6 + 7 =\u00a013<\/em><\/strong><\/p>\n

    R\u00e9ponse finale : 13<\/em><\/h3>\n\"\"<\/picture>Et voil\u00e0.\u00a0Simple\u2026 mais uniquement si l\u2019on respecte les \u00e9tapes dans le bon ordre !<\/em><\/strong><\/p>\n
    <\/p>\n
    \n
    \n
    \n
    Voir plus<\/span><\/div>\n
    Actualit\u00e9s des journaux populaires et tablo\u00efds<\/span><\/div>\n
    Email<\/span><\/div>\n
    t-shirt<\/span><\/div>\n
    <\/div>\n<\/div>\n<\/div>\n<\/div>\n

    <\/ins><\/div>\n

    Pourquoi ce genre d\u2019exercice nous pi\u00e8ge si souvent<\/h2>\n

    On pense souvent que les\u00a0\u00a0maths<\/span>,\u00a0c\u2019est tout ou rien<\/em><\/strong>\u00a0: soit on aime, soit on fuit. Mais ce type de petit d\u00e9fi remet tout le monde au m\u00eame niveau :\u00a0on croit g\u00e9rer\u2026 et on se fait pi\u00e9ger par la rapidit\u00e9, le stress ou un souvenir flou des r\u00e8gles de\u00a0\u00a0calcul<\/span>.<\/em><\/strong><\/p>\n

    Math\u00e9matiques<\/div>\n

    R\u00e9sultat ? On\u00a0\u00a0calcule<\/span>\u00a0de t\u00eate,\u00a0on saute des \u00e9tapes, et on se trompe.<\/em><\/strong>\u00a0Parfois m\u00eame compl\u00e8tement.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    7 \u00d7 7 \u00f7 7 \u2013 1 + 7. \u00c7a para\u00eet basique, non ? Et pourtant\u2026 ce genre d\u2019\u00e9quation circule…<\/p>\n","protected":false},"author":1,"featured_media":23622,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-23621","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23621","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=23621"}],"version-history":[{"count":1,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23621\/revisions"}],"predecessor-version":[{"id":23623,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/posts\/23621\/revisions\/23623"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=\/wp\/v2\/media\/23622"}],"wp:attachment":[{"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ideerepas.milaf.ma\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}