{"id":5319,"date":"2013-07-31T17:04:24","date_gmt":"2013-07-31T14:04:24","guid":{"rendered":"https:\/\/yenirehberlik.com\/?p=5319"},"modified":"2013-07-31T17:04:24","modified_gmt":"2013-07-31T14:04:24","slug":"mental-matematikle-bazi-basit-hesaplamalar","status":"publish","type":"post","link":"https:\/\/yenirehberlik.com\/arsiv\/mental-matematikle-bazi-basit-hesaplamalar.html","title":{"rendered":"Mental Matematikle Baz\u0131 Basit Hesaplamalar"},"content":{"rendered":"

K\u00fc\u00e7\u00fck problemleri \u00e7\u00f6zmek i\u00e7in genelde hesap makinesi kullan\u0131r\u0131z oysa basit y\u00f6ntemlerle hesap makinesi kullanmadan matematik problemlerini \u00e7\u00f6zebilme imkan\u0131 var. \u00a0Mental matematik ka\u011f\u0131t yada makine kullanmadan imkans\u0131z gibi g\u00f6r\u00fcnen hesaplamalar yapmam\u0131za yard\u0131mc\u0131 olur.\u00a0 G\u00fcnl\u00fck hayatta matematik \u00e7ok i\u015fimize yar\u0131yor. Al\u0131\u015fveri\u015f yapt\u0131\u011f\u0131m\u0131zda, say\u0131sal bir konuyu tart\u0131\u015ft\u0131\u011f\u0131m\u0131zda ve ba\u015fka bir \u00e7ok konuda matemati\u011fe ihtiyac\u0131m\u0131z var. Mental matematik insan\u0131n zihinsel gelimine yard\u0131mc\u0131 olur. \u00a0\u00c7e\u015fitli \u00f6rnekler verelim.<\/p>\n

    \n
  1. \u00d6ncelikle matemati\u011fin temel kurallar\u0131n\u0131 hat\u0131rlamak gerekir. Bunlar toplama, \u00e7\u0131karma, b\u00f6lme ve \u00e7arpmad\u0131r.<\/li>\n
  2. Bir say\u0131y\u0131 dokuz ile \u00e7arpmak ayn\u0131 zamanda (10-1) ile \u00e7arpmak oldu\u011funa g\u00f6re, say\u0131y\u0131 dokuz ile \u00e7arpmadan \u00f6nce onla \u00e7arp\u0131p, \u00e7\u0131kan say\u0131dan dokuz \u00e7\u0131kard\u0131\u011f\u0131m\u0131zda sonuca ula\u015f\u0131r\u0131z.<\/li>\n
  3. Bir say\u0131y\u0131 11 ile \u00e7arpman\u0131n da basit bir kural\u0131 var. Bu say\u0131 ne kadar b\u00fcy\u00fck olursa olsun onu k\u0131sa yoldan onbir ile \u00e7arpabiliriz. Kural\u0131m\u0131z \u015f\u00f6yledir. (ilk say\u0131) (birinci + ikinci say\u0131) (ikinci + \u00fc\u00e7\u00fcnc\u00fc say\u0131) … (son say\u0131) \u00d6rnek: 243×11= (2),(2+4),(4+3),(3) olur. Say\u0131lar\u0131 birlikte yazd\u0131\u011f\u0131m\u0131zda sonu\u00e7 = 2673 olur.<\/li>\n
  4. Bir say\u0131y\u0131\u00a0 5 ile \u00e7arpmak asl\u0131nda o say\u0131y\u0131 10 ile \u00e7arp\u0131p 2\u2019ye b\u00f6lmek oldu\u011funa g\u00f6re bizde \u00f6yle yapabiliriz. Bir say\u0131y\u0131 10 ile \u00e7arpmak ise hemen arkas\u0131na bir s\u0131f\u0131r eklemekle olur. Sonra \u00e7\u0131kan say\u0131n\u0131n yar\u0131s\u0131n\u0131 ald\u0131\u011f\u0131m\u0131zda 5 ile \u00e7arp\u0131lm\u0131\u015f halini buluruz.<\/li>\n
  5. \u0130ki haneli iki say\u0131n\u0131n son rakamlar\u0131 5 ile bitiyorsa son iki rakam 25 olur. \u00d6rnek 35×35=1225, 25×25 = 625 olur. Biraz daha kolayla\u015ft\u0131ral\u0131m. \u0130ki rakaml\u0131 iki say\u0131y\u0131 \u00e7arpt\u0131\u011f\u0131m\u0131zda her ikisinin sonu da 5 ile bitiyorsa \u015fu formul\u00fc de uygulayabiliriz. 35×35= (3×4)25 = 1225 olur. \u0130ki say\u0131n\u0131n birinci rakam\u0131 ile ikinci say\u0131n\u0131n bir art\u0131r\u0131lm\u0131\u015f rakam\u0131n\u0131 \u00e7arp\u0131p sonunda 25 ekledi\u011fimizde sonuca heme ula\u015f\u0131r\u0131z. 45×45 = (4×5)25 = 2025<\/li>\n
  6. Birbirine 12×14 gibi yak\u0131n olan say\u0131lar\u0131 \u00e7arman\u0131nda kolay bir yolu var. E\u011fer say\u0131lar\u0131m\u0131z \u00e7ift ise aradaki say\u0131n\u0131n karek\u00f6k\u00fcn\u00fc al\u0131p bir \u00e7\u0131kart\u0131\u011f\u0131m\u0131zda sonuca ula\u015f\u0131r\u0131z. E\u011fer say\u0131lar\u0131m\u0131z tek ise aradaki say\u0131n\u0131n karek\u00f6k\u00fcn\u00fc al\u0131p bir ekledi\u011fimizde yine sonuca ula\u015f\u0131r\u0131z. \u00d6rnek 12×14 = (13×13+1) = 169, di\u011fer \u00f6rnek 17×19 = (18×18-1) = 323<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    K\u00fc\u00e7\u00fck problemleri \u00e7\u00f6zmek i\u00e7in genelde hesap makinesi kullan\u0131r\u0131z oysa basit y\u00f6ntemlerle hesap makinesi kullanmadan matematik problemlerini \u00e7\u00f6zebilme imkan\u0131 var. \u00a0Mental matematik ka\u011f\u0131t yada makine kullanmadan imkans\u0131z gibi g\u00f6r\u00fcnen hesaplamalar yapmam\u0131za yard\u0131mc\u0131 olur.\u00a0 G\u00fcnl\u00fck hayatta matematik \u00e7ok i\u015fimize yar\u0131yor. Al\u0131\u015fveri\u015f yapt\u0131\u011f\u0131m\u0131zda, say\u0131sal bir konuyu tart\u0131\u015ft\u0131\u011f\u0131m\u0131zda ve ba\u015fka bir \u00e7ok konuda matemati\u011fe ihtiyac\u0131m\u0131z var. Mental matematik insan\u0131n […]<\/p>\n","protected":false},"author":1,"featured_media":5320,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-5319","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-egitim"],"yoast_head":"\nMental Matematikle Baz\u0131 Basit Hesaplamalar -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/yenirehberlik.com\/arsiv\/mental-matematikle-bazi-basit-hesaplamalar.html\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mental Matematikle Baz\u0131 Basit Hesaplamalar -\" \/>\n<meta property=\"og:description\" content=\"K\u00fc\u00e7\u00fck problemleri \u00e7\u00f6zmek i\u00e7in genelde hesap makinesi kullan\u0131r\u0131z oysa basit y\u00f6ntemlerle hesap makinesi kullanmadan matematik problemlerini \u00e7\u00f6zebilme imkan\u0131 var. \u00a0Mental matematik ka\u011f\u0131t yada makine kullanmadan imkans\u0131z gibi g\u00f6r\u00fcnen hesaplamalar yapmam\u0131za yard\u0131mc\u0131 olur.\u00a0 G\u00fcnl\u00fck hayatta matematik \u00e7ok i\u015fimize yar\u0131yor. Al\u0131\u015fveri\u015f yapt\u0131\u011f\u0131m\u0131zda, say\u0131sal bir konuyu tart\u0131\u015ft\u0131\u011f\u0131m\u0131zda ve ba\u015fka bir \u00e7ok konuda matemati\u011fe ihtiyac\u0131m\u0131z var. 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Al\u0131\u015fveri\u015f yapt\u0131\u011f\u0131m\u0131zda, say\u0131sal bir konuyu tart\u0131\u015ft\u0131\u011f\u0131m\u0131zda ve ba\u015fka bir \u00e7ok konuda matemati\u011fe ihtiyac\u0131m\u0131z var. Mental matematik insan\u0131n […]","og_url":"https:\/\/yenirehberlik.com\/arsiv\/mental-matematikle-bazi-basit-hesaplamalar.html","article_published_time":"2013-07-31T14:04:24+00:00","author":"yenirehberlik","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"yenirehberlik","Tahmini okuma s\u00fcresi":"2 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/yenirehberlik.com\/arsiv\/mental-matematikle-bazi-basit-hesaplamalar.html#article","isPartOf":{"@id":"https:\/\/yenirehberlik.com\/arsiv\/mental-matematikle-bazi-basit-hesaplamalar.html"},"author":{"name":"yenirehberlik","@id":"https:\/\/yenirehberlik.com\/arsiv\/#\/schema\/person\/8bd9eb0409887ea38d367fb33bf897af"},"headline":"Mental Matematikle Baz\u0131 Basit 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