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Videonun Amacı 03:11 Sayı Kümeleri 10:45 Toplama İşlemi Matematiğim Sıfır diyen YKS, LGS, KPSS, DGS, ALES hiç farketmez herkes bu videoyu izleyerek giriş mantığı oluşturabilir.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/222159/bdcbe8da8795e8f3f16703c75c3116f8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/qA9pDwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=videoid:15379759248375168009","teaser":[{"list":{"type":"unordered","items":["Bu video, Yaşar Hoca tarafından Metman kanalında sunulan \"Matematiğe Sıfır Kampı\" adlı eğitim serisinin bir parçasıdır. Öğretmen, KPSS, DGS, LGS ve YKS sınavlarına hazırlananlar için matematik konularını anlatmaktadır.","Video, sayı kümeleri konusunu ele alarak başlıyor ve rakamlar, doğal sayılar, tam sayılar, rasyonel sayılar, irrasyonel sayılar ve reel sayılar kümelerini detaylı olarak açıklıyor. Ardından, özellikle toplama işlemi için hızlı ve etkili çözüm teknikleri sunuluyor. Öğretmen, birbirini tam ona tamamlayan sayıları hatırlamanın önemini vurgulayarak çeşitli örnekler üzerinden hızlı toplama yöntemlerini adım adım gösteriyor.","Videoda ayrıca toplama işlemlerinde elde kavramını kullanarak, sayıları parçalara ayırarak ve tamamlama yöntemlerini uygulayarak hızlı çözümler sunulmaktadır. Öğretmen, ikinci videoda çıkarma, çarpma ve bölme işlemlerinin kolay yollarını anlatacağını belirterek videoyu sonlandırmaktadır."]},"endTime":1579,"title":"Matematiğe Sıfır Kampı: Sayı Kümeleri ve Hızlı Toplama Teknikleri","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik Kampı Tanıtımı","list":{"type":"unordered","items":["Metman kanalında Yaşar Hoca, matematiğe kampı sunuyor ve bu kamp altı videodan oluşuyor: iki dört işlemler, iki kesirler ve iki denklemler videosu.","Kamp, matematiği baştan öğrenmek isteyenler için tasarlanmış ve özellikle yaşın üzerinde olanlar için geriye dönük toparlama sağlayacak.","Kamp, TYT etkili başlangıç kampı ile birleştirildiğinde daha faydalı olacak ve dört işlem konusunda eski alışkanlıklar yerine yeni stratejiler kullanılması 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Programları: Matematik-Türkçe Programı https://docs.google.com/spreadsheets/... Tüm Dersler Programı https://docs.google.com/spreadsheets/... Math Man Yaşar Hoca Videolarım sizlere faydalı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2095034/c6b4a5773c2ee3bca2da6fbc1c5613b6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/AdS3DQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=videoid:856485066071349242","teaser":[{"list":{"type":"unordered","items":["Bu video, \"Hoca\" adlı bir eğitmen tarafından sunulan matematik dersinin mantık konusunu içeren eğitim içeriğidir. Eğitmen, mantık konusunu öğrencilere anlatmakta ve soru çözümleri yapmaktadır.","Video, mantık konusunun temel kavramlarını (önerme, doğruluk değerleri, bağlaçlar) açıklayarak başlıyor ve ardından TYT sınavlarında çıkan mantık sorularını çözüyor. Eğitmen, \"ve\", \"veya\", \"ise\", \"ancak ve ancak\" bağlaçlarının mantıksal değerlerini, önermelerin tersi ve karşıt tersini alma, önermelerin kesişim ve birleşimi gibi konuları örneklerle açıklıyor.","Videoda ayrıca mantık sorularının çözümünde temel hızlı bakış açıları ve cümleleri doğru yerleştirmenin önemi vurgulanmakta, doğru cevaba ulaşmanın %95 oranında mümkün olduğu belirtilmektedir. Eğitmen, mantık konusunun karmaşık sayıdan daha önemli olduğunu ve sınavlarda sıkça çıktığını vurgulayarak, öğrencilere sınav hazırlığı için faydalı bilgiler sunmaktadır."]},"endTime":1258,"title":"Mantık Konusu Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Mantık Konusunun Önemi","list":{"type":"unordered","items":["Mantık konusu TYT'de her sene bir veya iki soru olarak çıkmaktadır.","Mantık ezberler toplamı değil, yorum gücünü yükseltecek tarzlarla anlatılacaktır.","Mantık konusunu kavramak için önerme ve önerme kesin ifadeler önemlidir."]},"beginTime":0,"endTime":39,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=0&ask_summarization=1"},{"index":1,"title":"Önermeler ve Değil İşlemi","list":{"type":"unordered","items":["Önermeler kesin ifadelerdir ve ya doğru (1) ya da yanlış (0) olabilir.","Önermeler genellikle p, q, r, s gibi harflerle gösterilir.","Bir önermenin değili, onun tam tersi sonucunu verir ve \"değil değil\" kendisine eşittir."]},"beginTime":39,"endTime":122,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=39&ask_summarization=1"},{"index":2,"title":"Mantık Bağlaçları","list":{"type":"unordered","items":["Mantıkta \"ve\", \"veya\", \"ise\", \"ancak ve ancak\" ve \"ya da\" gibi bağlaçlar kullanılır.","ÖSYM'nin en sevdiği bağlaçlar \"ve\" ve \"veya\"dır.","Mantık sorularını çözerken cümlenin gelişinden bağlaçların doğru kullanımını anlayabilirsiniz."]},"beginTime":122,"endTime":181,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=122&ask_summarization=1"},{"index":3,"title":"\"Ve\" Bağlacı","list":{"type":"unordered","items":["\"Ve\" bağlacı kesişim işlemi gibi düşünülebilir.","Evrensel küme (1) ile boş küme (0) birleşimi her zaman evrensel küme (1) sonucunu verir.","Evrensel küme ile evrensel kümenin kesişimi evrensel küme (1) sonucunu verir."]},"beginTime":181,"endTime":321,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=181&ask_summarization=1"},{"index":4,"title":"\"İse\" Bağlacı","list":{"type":"unordered","items":["\"İse\" bağlacı için sadece \"1 ise 0 ile\" sonucu 0'dır, diğer tüm durumlar 1 sonucunu verir.","\"İse\" bağlacı sorularını çözerken cümlenin gelişini analiz ederek mantık yürütebilirsiniz.","\"İse\" bağlacı sorularında \"1 ise 0 ile\" ifadesi önemlidir."]},"beginTime":321,"endTime":423,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=321&ask_summarization=1"},{"index":5,"title":"\"Ya da\" ve \"Ancak ve Ancak\" Bağlaçları","list":{"type":"unordered","items":["\"Ya da\" bağlacı için farklı değerler doğru sonucu verir.","\"Ancak ve ancak\" bağlacı için aynalar olduğu zaman sonuç doğru, farklar olduğu zaman yanlış çıkar.","\"Ya da\" bağlacı için farklı değerler doğru sonucu verir."]},"beginTime":423,"endTime":514,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=423&ask_summarization=1"},{"index":6,"title":"Değil İşlemi ve Karşıtı","list":{"type":"unordered","items":["Bir ifadenin değilinin değerini alırken, her iki önermenin üzerine de değil işareti gelir.","\"Değil değil\" işlemi, orijinal ifadeye eşittir.","Karşıtı ve tersi alma işlemleri de mantıkta önemlidir."]},"beginTime":514,"endTime":577,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=514&ask_summarization=1"},{"index":7,"title":"Mantık İfadelerinin Tersi ve Karşıtı","list":{"type":"unordered","items":["Mantık ifadelerinde \"p ise q\" şeklinde bir ifadenin tersi \"q ise p\" şeklinde olur.","Karşıtı alındığında \"p'nin değili, q'nun değili\" şeklinde ifade edilir.","Karşıt tersi alındığında hem yerleri hem üstleri değişir ve \"p'nin değili, q'nun değili\" şeklinde olur."]},"beginTime":581,"endTime":620,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=581&ask_summarization=1"},{"index":8,"title":"Mantık Sorularının Önemi","list":{"type":"unordered","items":["Mantık temel kısımları karmaşık sayıdan daha önemlidir ve sınavlarda kesinlikle çıkmaktadır.","TYT sınavında ayda birer tane mantık sorusu çıkmış, 2021 yılında ise iki tane soru çıkmıştır.","Mantık soruları genellikle şekilli, şukullu ve tablolu olarak verilmektedir."]},"beginTime":620,"endTime":650,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=620&ask_summarization=1"},{"index":9,"title":"Mantık Soruları Çözümü","list":{"type":"unordered","items":["İlk soruda \"beyaz siyah zıt renk değildir\" ifadesinin olumsuzunun doğruluk değeri bir olduğu belirtilmiştir.","İkinci soruda \"a² - b² = 0'sa a = b'dir\" ifadesinin yanlış olduğu, mutlak değer içinde olduğu için a = b veya a = -b olabileceği açıklanmıştır.","Üçüncü soruda \"0 \u003c p ise -p\" ifadesinin yanlış olduğu, mutlak değer içinde olduğu için p negatif olduğunda -p pozitif olacağı belirtilmiştir."]},"beginTime":650,"endTime":832,"href":"/video/preview/856485066071349242?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=650&ask_summarization=1"},{"index":10,"title":"Mantık 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Videonun Amacı 00:50 Çıkarma İşlemi 12:09 Çarpma İşlemi 28:30 Bölme İşlemi Matematiğim Sıfır diyen YKS, LGS, KPSS, DGS, ALES hiç farketmez herkes bu videoyu izleyerek giriş mantığı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1023230/589679b582d736342651f9fc29fc85fd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/s2u2KgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=videoid:1589352116414362087","teaser":[{"list":{"type":"unordered","items":["Bu video, Yaşaracağız tarafından sunulan \"Matematiğim Sıfır Kampı\" serisinin ikinci bölümüdür. Bir matematik öğretmeni tarafından sunulan eğitim içeriği, TYT Etkili Başlangıç Kampı kapsamında hazırlanmıştır.","Video, dört işlem konusunu kapsamlı şekilde ele almaktadır. İlk olarak çıkarma işlemleri, ardından artı-eksi toplama-çıkarma işlemleri sayı doğrusu üzerinden açıklanmakta, ardından çarpma işlemlerinde pratik yöntemler (13x14 gibi zor görünen çarpmaları basitleştirme, 5, 9, 7 ve 8 ile çarpma teknikleri) gösterilmekte ve son olarak bölme işlemlerinde referans noktaları kullanarak pratik çözüm yöntemleri anlatılmaktadır.","Videoda ayrıca işaret kuralları (aynı işaretlerin çarpımı artı, farklı işaretlerin çarpımı eksi) ve sayı kümeleri gibi temel matematik kavramları da açıklanmaktadır. Bu içerik, KPSS, LGS, YKS ve TYT sınavlarına hazırlanan öğrenciler için temel matematik kavramlarını sistematik bir şekilde öğretmeyi amaçlamaktadır."]},"endTime":2003,"title":"Matematiğim Sıfır Kampı: Dört İşlem Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Matematiğim Sıfır Kampı İkinci Bölüm","list":{"type":"unordered","items":["Yaşaracağız, matematiğim sıfır kampının ikinci bölümünde dört işlemle ilgili detaylar verecek.","Artı ve eksi sayıların toplamı ve çıkarması ile çarpma ve bölmelerle ilgili ipuçları paylaşılacak.","İlk video izlenmesi gerekiyor."]},"beginTime":0,"endTime":51,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=0&ask_summarization=1"},{"index":1,"title":"Çıkarma İşlemleri","list":{"type":"unordered","items":["Çıkarma işlemi yaparken, birler basamağı aynı olan sayılar birbirinden çıktığında sonu sıfırlı oluyor.","Çıkarma işlemi yaparken, sayıyı parçalara ayırarak işlem yapmak pratik bir yöntemdir.","Pratik düşünme mantığı kullanarak, çıkarma işlemlerini daha hızlı yapabilirsiniz."]},"beginTime":51,"endTime":284,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=51&ask_summarization=1"},{"index":2,"title":"Artı ve Eksi Sayılarla İşlemler","list":{"type":"unordered","items":["Artı ve eksi sayıları toplama ve çıkarma işlemlerinde işaretlere dikkat etmek gerekiyor.","Sayı doğrusunda artı eklemek, eksi ise çıkarma anlamına gelir.","Her iki sayının işareti de artı olduğunda, sayılar toplanır ve sonuçta artı işareti kalır."]},"beginTime":284,"endTime":498,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=284&ask_summarization=1"},{"index":3,"title":"Artı ve Eksi İşaretli Sayıların Toplanması","list":{"type":"unordered","items":["Aynı işaretli sayılar toplanırken, sayılar toplanır ve ortak işaret yazılır.","Farklı işaretli sayılar toplanırken, sayı değeri büyük olan sayı kazanır ve iki sayı birbirinden çıkarılır.","Karmaşık artı-eksi sistemlerinde, eksileri kendi arasında, artıları kendi arasında toplayarak işlem kolaylaştırılabilir."]},"beginTime":508,"endTime":715,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=508&ask_summarization=1"},{"index":4,"title":"Çarpma İşlemlerinin Hızlı Yapılması","list":{"type":"unordered","items":["Çarpma işlemlerinde referans noktaları tutmak önemlidir, örneğin 6×8=48 biliniyorsa, 6×7=42 hesaplanabilir.","5 ile çarpma işleminde, sayının yarısı alınır ve yanına sıfır konulur.","9 ile çarpma işleminde, sayının bir eksiği alınır ve yanına 9'a tamamlayan sayı yazılır."]},"beginTime":715,"endTime":996,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=715&ask_summarization=1"},{"index":5,"title":"Çarpma İşlemlerinde Pratik Yöntemler","list":{"type":"unordered","items":["7×7=49 ve 8×8=64 gibi temel çarpma işlemlerini bilmek önemlidir.","8×8 hesaplanırken, önce 7×8=56 bulunur, sonra 56'ya 18 eklenerek 8×8=64 elde edilir."]},"beginTime":996,"endTime":1054,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=996&ask_summarization=1"},{"index":6,"title":"Çarpma İşlemlerinde Pratik Yöntemler","list":{"type":"unordered","items":["İki sayının çarpımından bir sonrakisinin çarpımına geçerken, bir sonraki sayının bir önceki sayının üzerine eklenmesi gerekir.","Örneğin, 13×14 çarpımını yaparken, 13×13=169'dan 14×14'e geçmek için 13+14=27 eklemek gerekir.","Çarpma işlemlerinde hızlı çözüm taktikleri kullanmak önemlidir, örneğin 28×19 çarpımını yaparken önce 28×20=560 elde edilir, sonra 560'tan 28×10=540 çıkarılır ve son olarak 540'tan 28×8=224 çıkarılarak 532 sonucu bulunur."]},"beginTime":1068,"endTime":1292,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=1068&ask_summarization=1"},{"index":7,"title":"Çarpma İşlemlerinde Kolaylık Sağlayan Yöntemler","list":{"type":"unordered","items":["11 gibi bir sayı ile çarpma işleminde, sayının rakamlarının toplamı ortaya yazılır (1+1=2, 2×11=22).","Çarpma işlemlerinde sadeleştirme yapmak önemlidir, örneğin 64×58 çarpımını yaparken 4×8=32 olduğundan, cevabın sonu 2 ile bitecektir.","Çarpma işlemlerinde pratik yöntemler kullanmak gerekir, örneğin 32×15 çarpımını yaparken 32×10=360 ve 32×2=64 eklenerek 480 sonucu bulunur."]},"beginTime":1292,"endTime":1480,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=1292&ask_summarization=1"},{"index":8,"title":"Çarpma İşlemlerinde Referans Noktaları","list":{"type":"unordered","items":["Çarpma işlemlerinde kaçış yollarını aramak ve referans noktaları edinmek önemlidir.","Temel çarpma işlemlerinde referans noktaları beyninizde bir \"history sekmesi\"nde olmalıdır.","Örneğin, 96=16×6, 12×8=96, 32×3=96 gibi temel çarpma işlemlerini bilmek beyninizde oturacaktır."]},"beginTime":1480,"endTime":1571,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=1480&ask_summarization=1"},{"index":9,"title":"Çarpma İşlemlerinde İşaret Kuralları","list":{"type":"unordered","items":["Çarpma işlemlerinde aynı işaretler çarpıldığında sonuç artı çıkar (3×5=15, -3×-5=15).","İşaretler farklı olduğunda sonuç eksi çıkar (3×-5=-15).","Çarpma işlemlerinde işaret kuralları önemlidir, örneğin -2×3×-5×4×-3 işleminde işaretler dikkate alınmalıdır."]},"beginTime":1571,"endTime":1620,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=1571&ask_summarization=1"},{"index":10,"title":"İşaretli Sayıların Çarpımı","list":{"type":"unordered","items":["İşaretli sayıların çarpımında, aynı işaretler çarpıldığında sonuç artı, farklı işaretler çarpıldığında sonuç eksi olur.","Eksi işaretlerinin sayısı tek sayı ise sonuç eksi, çift sayı ise sonuç artı olur.","İşaretli sayıların çarpımı örneğinde, -2 × -5 × -3 işleminde sonuç -360 olarak hesaplanmıştır."]},"beginTime":1636,"endTime":1741,"href":"/video/preview/1589352116414362087?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=1636&ask_summarization=1"},{"index":11,"title":"Bölme 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babanın şimdiki yaşına gelmesi için üç yıl geçmesi gerekir."]},"beginTime":472,"endTime":509,"href":"/video/preview/5454583390019518217?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=472&ask_summarization=1"},{"index":5,"title":"Yaş Problemleri Çözüm Yöntemleri","list":{"type":"unordered","items":["İki çocuğun yaşları toplamı 3x büyütüldüğünde, her bir çocuk 1,5-2 yaş büyümüş olur.","Çocukların yaşları toplamı 10 olduğunda, 5 yıl sonra toplam 20 olur çünkü her biri 5 yaş büyümüş olur.","Yaş problemlerinde rasyonel sayılar yerine tam sayılarla işlem yapmak daha pratik olabilir."]},"beginTime":518,"endTime":659,"href":"/video/preview/5454583390019518217?parent-reqid=1765305515389878-17489731816260138164-balancer-l7leveler-kubr-yp-vla-73-BAL&text=Math+Man&t=518&ask_summarization=1"},{"index":6,"title":"Üniversite Bitirme Yaşı Problemi","list":{"type":"unordered","items":["Bir baba üniversiteyi 28 yıl önce bitirmiş ve üniversiteyi 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