{"id":1000,"date":"2021-08-31T09:00:00","date_gmt":"2021-08-31T07:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=1000"},"modified":"2026-09-28T13:20:38","modified_gmt":"2026-09-28T11:20:38","slug":"comment-ecrire-les-nombres-ayant-une-infinite-de-decimales-science-etonnante","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2021\/08\/31\/comment-ecrire-les-nombres-ayant-une-infinite-de-decimales-science-etonnante\/","title":{"rendered":"Comment \u00e9crire les nombres ayant une infinit\u00e9 de d\u00e9cimales ? (Science \u00e9tonnante)"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Comment \u00e9crire les nombres ayant une infinit\u00e9 de d\u00e9cimales ?\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/CwqoAVMzgp4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9crire et d\u00e9crire les nombres r\u00e9els para\u00eet facile, mais ne l&#8217;est pas tant que \u00e7a. David Louapre compare deux fa\u00e7ons de faire : le d\u00e9veloppement d\u00e9cimal infini, et les fractions continues, plus naturelles et plus r\u00e9v\u00e9latrices qu&#8217;on ne le croit.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la m\u00eame s\u00e9rie : <a href=\"https:\/\/smalltalks.eu\/blog\/?p=995\">la conjecture de Syracuse<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=996\">la d\u00e9couverte qui a transform\u00e9 \u03c0<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=997\">le cinqui\u00e8me postulat d&#8217;Euclide<\/a>, <a href=\"https:\/\/smalltalks.eu\/blog\/?p=998\">le n\u0153ud de Conway<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Vid\u00e9o de Science \u00e9tonnante (David Louapre).<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00c9crire et d\u00e9crire les nombres r\u00e9els para\u00eet facile, mais ne l&#8217;est pas tant que \u00e7a. David Louapre compare deux fa\u00e7ons de faire : le d\u00e9veloppement d\u00e9cimal infini, et les fractions continues, plus naturelles et plus r\u00e9v\u00e9latrices qu&#8217;on ne le croit. Dans la m\u00eame s\u00e9rie : la conjecture de Syracuse, la d\u00e9couverte qui a transform\u00e9 \u03c0, le cinqui\u00e8me postulat d&#8217;Euclide, le n\u0153ud de Conway. Vid\u00e9o de Science \u00e9tonnante (David Louapre).<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[123,280,282],"tags":[],"class_list":["post-1000","post","type-post","status-publish","format-standard","hentry","category-science-etonnante","category-sciences","category-sciences-mathematiques"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1000","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/comments?post=1000"}],"version-history":[{"count":1,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1000\/revisions"}],"predecessor-version":[{"id":1022,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/1000\/revisions\/1022"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=1000"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=1000"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=1000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}