{"id":205,"date":"2023-06-24T04:56:26","date_gmt":"2023-06-24T04:56:26","guid":{"rendered":"https:\/\/physigeek.com\/tr\/matematiksel-sayilarin-yaklasimi\/"},"modified":"2023-06-24T04:56:26","modified_gmt":"2023-06-24T04:56:26","slug":"matematiksel-sayilarin-yaklasimi","status":"publish","type":"post","link":"https:\/\/physigeek.com\/tr\/matematiksel-sayilarin-yaklasimi\/","title":{"rendered":"Say\u0131lar\u0131n yakla\u015f\u0131m\u0131 (matematik)"},"content":{"rendered":"<p>Bu makalede say\u0131 yakla\u015f\u0131m\u0131n\u0131n ne oldu\u011fu ve nas\u0131l yap\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece, mevcut farkl\u0131 yakla\u015f\u0131m t\u00fcrlerinin yan\u0131 s\u0131ra her birinin birka\u00e7 \u00f6rne\u011fini bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-aproximacion-de-numeros\"><\/span> Say\u0131 yakla\u015f\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Matematikte <strong>yakla\u015f\u0131m<\/strong> , bir say\u0131n\u0131n \u00e7ok yak\u0131n ba\u015fka bir say\u0131ya d\u00f6n\u00fc\u015ft\u00fcr\u00fcld\u00fc\u011f\u00fc bir s\u00fcre\u00e7tir. Ba\u015fka bir deyi\u015fle, <strong>bir say\u0131ya yakla\u015fmak<\/strong> , o say\u0131n\u0131n de\u011ferini de\u011fi\u015ftirip \u00e7ok yak\u0131n bir say\u0131ya yuvarlamay\u0131 i\u00e7erir.<\/p>\n<p> Genel olarak \u2248 sembol\u00fc bir say\u0131n\u0131n yakla\u015f\u0131m\u0131n\u0131 temsil etmek i\u00e7in kullan\u0131l\u0131r, ancak ~ veya =~ sembolleri de kullan\u0131labilir, ancak bunlar daha gayri resmidir.<\/p>\n<p> Dolay\u0131s\u0131yla yakla\u015f\u0131k de\u011fer, ger\u00e7ek de\u011feri kapal\u0131 olan say\u0131d\u0131r. Ve ikisi aras\u0131ndaki fark yakla\u015f\u0131m hatas\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aproximacion-de-numeros-naturales\"><\/span> Do\u011fal say\u0131lar\u0131n yakla\u015f\u0131m\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Do\u011fal say\u0131lar\u0131n yakla\u015f\u0131m\u0131,<\/strong> 1 oran\u0131nda artt\u0131rmak veya yakla\u015fmak istedi\u011fimiz say\u0131n\u0131n ayn\u0131s\u0131n\u0131 korumaktan ibarettir ve sa\u011fdaki say\u0131lar\u0131n geri kalan\u0131 0 olur.<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Son anlaml\u0131 rakamdan sonraki rakam 5&#8217;ten b\u00fcy\u00fck veya 5&#8217;e e\u015fitse son anlaml\u0131 rakam 1 art\u0131r\u0131l\u0131r ( <strong>yukar\u0131 yuvarlan\u0131r<\/strong> ).<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Son anlaml\u0131 rakamdan sonraki rakam 5&#8217;ten k\u00fc\u00e7\u00fckse son anlaml\u0131 rakam de\u011fi\u015ftirilmez ( <strong>a\u015fa\u011f\u0131 veya a\u015fa\u011f\u0131 yuvarlan\u0131r<\/strong> ).<\/span><\/li>\n<\/ul>\n<p> \u00d6rne\u011fin y\u00fczleri 1574 say\u0131s\u0131na yuvarlad\u0131\u011f\u0131m\u0131zda y\u00fczlerden (7) sonraki say\u0131 5&#8217;ten b\u00fcy\u00fck oldu\u011fu i\u00e7in 1600 say\u0131s\u0131n\u0131 elde ederiz.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1532ea74f55a77d4cb72b51a19d69dbd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 1574 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 1600\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"223\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Ancak 891 say\u0131s\u0131n\u0131n onlar basama\u011f\u0131 yakla\u015f\u0131m\u0131 890 olarak kal\u0131r, \u00e7\u00fcnk\u00fc onlar basama\u011f\u0131ndan sonra gelen rakam 1 rakam\u0131d\u0131r ve dolay\u0131s\u0131yla 5&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d6e9f7a68f045e534fd30f56bf306bd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 891 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 890\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"206\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> A\u015fa\u011f\u0131da <strong>do\u011fal say\u0131 yakla\u015f\u0131mlar\u0131n\u0131n daha fazla \u00f6rne\u011fini<\/strong> g\u00f6rebilirsiniz:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Onlarca 1352 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 1350&#8217;ye yakla\u015f\u0131m<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Y\u00fczlerce 45851 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 45900&#8217;e yakla\u015f\u0131m<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Binlerce 923802 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 924000&#8217;e yakla\u015f\u0131m.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aproximacion-de-numeros-decimales\"><\/span> Ondal\u0131k say\u0131lar\u0131n yakla\u015f\u0131k de\u011feri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ondal\u0131k say\u0131lar\u0131n yakla\u015f\u0131k de\u011ferini hesaplamak<\/strong> i\u00e7in iki farkl\u0131 y\u00f6ntem vard\u0131r:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Yuvarlama<\/strong> : Duruma g\u00f6re son anlaml\u0131 ondal\u0131k basamak 1 art\u0131r\u0131l\u0131r veya de\u011fi\u015ftirilmez.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Kesme<\/strong> : Son anlaml\u0131 ondal\u0131k say\u0131 her zaman ayn\u0131 kal\u0131r.<\/span><\/li>\n<\/ul>\n<p> Her bir yakla\u015f\u0131m t\u00fcr\u00fc a\u015fa\u011f\u0131da ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Redondeo\"><\/span> Yuvarlak<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Yuvarlama s\u0131ras\u0131nda,<\/strong> son \u00f6nemli ondal\u0131k basamaktan sonraki t\u00fcm ondal\u0131k basamaklar \u00e7\u0131kar\u0131l\u0131r ve ayr\u0131ca, yuvarlamak istedi\u011finiz ondal\u0131k basamak uygun \u015fekilde 1 art\u0131r\u0131l\u0131r veya ayn\u0131 tutulur:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Son ondal\u0131k basamaktan sonraki ondal\u0131k basamak 5&#8217;e e\u015fit veya b\u00fcy\u00fckse, son ondal\u0131k basamak 1 art\u0131r\u0131l\u0131r ( <strong>yukar\u0131 yuvarlan\u0131r<\/strong> ).<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Son virg\u00fclden sonraki virg\u00fcl 5&#8217;ten k\u00fc\u00e7\u00fckse, son virg\u00fcl ayn\u0131 kal\u0131r ( <strong>yukar\u0131 veya a\u015fa\u011f\u0131<\/strong> yuvarlan\u0131r).<\/span><\/li>\n<\/ul>\n<p> \u00d6rne\u011fin, en yak\u0131n onlu\u011fa yuvarlanan 3,14159265 ondal\u0131k say\u0131s\u0131 3,1&#8217;dir \u00e7\u00fcnk\u00fc sonraki ondal\u0131k say\u0131 (4) 5&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cb8fd7a4232dad6a3bc1e0c62b307b48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 3.14159265 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 3.1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"259\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u00d6te yandan 52,84917 ondal\u0131k say\u0131s\u0131n\u0131 en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlarsak bir sonraki ondal\u0131k basamak (9) 5&#8217;ten b\u00fcy\u00fck oldu\u011fundan 52,85 elde ederiz.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-726107f137233116828d1f13f68c5dd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 52,84917 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 52,85\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"265\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> <strong>Ondal\u0131k say\u0131lar\u0131n yuvarlanmas\u0131na ili\u015fkin di\u011fer \u00f6rnekler<\/strong> a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">445,945&#8217;in en yak\u0131n onda birine yuvarlan\u0131r <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 445,9<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">7,03522&#8217;nin en yak\u0131n y\u00fczde birine yuvarlan\u0131r <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 7,04<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">39,802719 <span style=\"color:#4fd12f\"><strong>\u2192<\/strong><\/span> 39,803&#8217;\u00fcn en yak\u0131n binde birine yuvarlan\u0131r<\/span><\/li>\n<\/ol>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Truncamiento\"><\/span>Kesme<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kesme<\/strong> , daha az anlaml\u0131 olanlar\u0131 ortadan kald\u0131rarak ondal\u0131k basamaklar\u0131n say\u0131s\u0131n\u0131 azalt\u0131r. Ba\u015fka bir deyi\u015fle kesme, kesmek istedi\u011finiz rakam\u0131n sa\u011f\u0131ndaki rakamlar\u0131n silinmesinden olu\u015fur.<\/p>\n<p> \u00d6rne\u011fin, 65,71834 say\u0131s\u0131n\u0131 y\u00fczde birlere keserek yakla\u015f\u0131kla\u015ft\u0131rd\u0131\u011f\u0131m\u0131zda, y\u00fczde birlerden (834) sonraki ondal\u0131k basamaklar\u0131 kald\u0131rd\u0131\u011f\u0131m\u0131z i\u00e7in 65,71 say\u0131s\u0131n\u0131 elde ederiz.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fa5a9534b3756e3e86f62f3e4c281cf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 65,71834 \\quad \\color{orange}\\bm{\\longrightarrow}\\quad\\color{noir} 65,71\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"265\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bu nedenle, bir say\u0131y\u0131 keserken, son \u00f6nemli ondal\u0131k basamaktan sonra 5&#8217;ten b\u00fcy\u00fck, e\u015fit veya k\u00fc\u00e7\u00fck bir say\u0131n\u0131n olmas\u0131 \u00f6nemli de\u011fildir, \u00e7\u00fcnk\u00fc sonraki t\u00fcm ondal\u0131k basamaklar\u0131n her zaman ortadan kald\u0131r\u0131lmas\u0131 gerekir.<\/p>\n<p> Son \u00f6rne\u011fe bakarsan\u0131z 65,71834 say\u0131s\u0131n\u0131 yuvarlam\u0131\u015f olsayd\u0131k 65,72 elde ederdik. Ancak kesmeyi kullan\u0131rsak 65,71 elde ederiz. Sonu\u00e7 olarak, yakla\u015f\u0131k say\u0131 se\u00e7ilen yakla\u015f\u0131m y\u00f6ntemine ba\u011fl\u0131 olarak farkl\u0131 olabilir.<\/p>\n<p> A\u015fa\u011f\u0131da <strong>kesme yakla\u015f\u0131m\u0131n\u0131n daha fazla \u00f6rne\u011fini<\/strong> g\u00f6rebilirsiniz:<\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Birime g\u00f6re kesme 9 634 <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 9<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">4,13558&#8217;in onda biri kadar kesme <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 4,1<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">71.0442&#8217;nin y\u00fczde birine kadar kesme <strong><span style=\"color:#4fd12f\">\u2192<\/span><\/strong> 71.04<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede say\u0131 yakla\u015f\u0131m\u0131n\u0131n ne oldu\u011fu ve nas\u0131l yap\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece, mevcut farkl\u0131 yakla\u015f\u0131m t\u00fcrlerinin yan\u0131 s\u0131ra her birinin birka\u00e7 \u00f6rne\u011fini bulacaks\u0131n\u0131z. Say\u0131 yakla\u015f\u0131m\u0131 nedir? Matematikte yakla\u015f\u0131m , bir say\u0131n\u0131n \u00e7ok yak\u0131n ba\u015fka bir say\u0131ya d\u00f6n\u00fc\u015ft\u00fcr\u00fcld\u00fc\u011f\u00fc bir s\u00fcre\u00e7tir. Ba\u015fka bir deyi\u015fle, bir say\u0131ya yakla\u015fmak , o say\u0131n\u0131n de\u011ferini de\u011fi\u015ftirip \u00e7ok yak\u0131n bir say\u0131ya yuvarlamay\u0131 i\u00e7erir. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/tr\/matematiksel-sayilarin-yaklasimi\/\"> <span class=\"screen-reader-text\">Say\u0131lar\u0131n yakla\u015f\u0131m\u0131 (matematik)<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[18],"tags":[],"class_list":["post-205","post","type-post","status-publish","format-standard","hentry","category-sayilar"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Say\u0131lar\u0131n yakla\u015f\u0131m\u0131 (matematik)<\/title>\n<meta name=\"description\" content=\"Burada matematikte say\u0131lar\u0131n yakla\u015f\u0131k de\u011ferini nas\u0131l hesaplayaca\u011f\u0131n\u0131z\u0131, mevcut farkl\u0131 yakla\u015f\u0131m y\u00f6ntemlerini ve her birinin \u00f6rneklerini ke\u015ffedeceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/tr\/matematiksel-sayilarin-yaklasimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Say\u0131lar\u0131n yakla\u015f\u0131m\u0131 (matematik)\" \/>\n<meta property=\"og:description\" content=\"Burada matematikte say\u0131lar\u0131n yakla\u015f\u0131k de\u011ferini nas\u0131l hesaplayaca\u011f\u0131n\u0131z\u0131, mevcut farkl\u0131 yakla\u015f\u0131m y\u00f6ntemlerini ve her birinin \u00f6rneklerini ke\u015ffedeceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/tr\/matematiksel-sayilarin-yaklasimi\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-24T04:56:26+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1532ea74f55a77d4cb72b51a19d69dbd_l3.png\" \/>\n<meta name=\"author\" content=\"Jonathan Reynolds\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jonathan Reynolds\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" 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