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Temel Kavramlar | Parçalama-İkili Bulma - | TYT | KPSS | AGS | DGS | ALES | Abdül Aziz Gürbüz. 09) Temel Kavramlar(Parçalama-İkili Bulma) | Konu-Soru Çözümü | YKS(TYT) |KPSS | DGS |ALES.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3859819/cd92266547dab18e861120475197834e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wP2dBwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=videoid:10399670876651129178","teaser":[{"list":{"type":"unordered","items":["Bu video, Abdülaziz Gürbüz tarafından sunulan bir matematik eğitim içeriğidir. Öğretmen, öğrencilere temel matematik kavramlarını ve çözüm yöntemlerini anlatmaktadır.","Videoda parçalama yöntemi ve ikili bulma yöntemi detaylı olarak ele alınmaktadır. Öğretmen önce temel kavramları açıklamakta, ardından çeşitli örnekler üzerinden bu yöntemleri uygulamalı olarak göstermektedir. Özellikle x ve y pozitif tam sayı olmak üzere verilen denklemlerin çözümü, bir ifadenin tam sayı olması için gerekli koşullar ve bu denklemleri sağlayan x-y ikililerini bulma pratik yöntemleri anlatılmaktadır.","Video boyunca öğretmen, denklemlerin çözümünde küçük sayıyı artırma, büyük sayıyı azaltma yöntemi gibi pratik teknikleri göstermekte ve öğrencilere adım adım çözüm yöntemlerini öğretmektedir. Video, öğrencilere bir ödev sorusu bırakarak sona ermektedir."]},"endTime":1753,"title":"Matematik Dersi: Parçalama ve İkili Bulma Yöntemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Parçalama Kavramı","list":{"type":"unordered","items":["Abdülaziz Gürbüz, temel kavramlar konusuna devam ederek parçalama ve ikili bulma konularını anlatacak.","Parçalama çok önemlidir ve ileriki konularda da kullanılacak.","Parçalama konusunda özellikler yerine pratik yöntemler kullanılacak."]},"beginTime":7,"endTime":42,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=7&ask_summarization=1"},{"index":1,"title":"Parçalama Yöntemi","list":{"type":"unordered","items":["İki a artı beş a ifadesi, iki artı beş bölü a şeklinde yazılabilir ve sadeleştirilerek iki artı beş a elde edilir.","Pratik olarak, iki a bölü a'dan iki kalır ve beş a kalır şeklinde direkt sonuç yazılabilir.","Benzer şekilde, üç x bölü x'ten üç kalır ve eksi dört x kalır şeklinde parçalanabilir."]},"beginTime":42,"endTime":120,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=42&ask_summarization=1"},{"index":2,"title":"Harfler Üzerinden Parçalama","list":{"type":"unordered","items":["Parçalama yaparken kesinlikle özellikler ezberlenmemeli, her zaman harfler üzerinden gitilmelidir.","a artı iki bölü a ifadesinde, a'nın üç katı olan üç a artı altı bölü a artı iki şeklinde parçalanabilir.","Dört x artı iki bölü x artı bir ifadesinde, x'in dört katı olan dört x artı dört bölü x artı bir şeklinde parçalanabilir."]},"beginTime":120,"endTime":287,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=120&ask_summarization=1"},{"index":3,"title":"Örnek Sorular","list":{"type":"unordered","items":["Beş eksi üç x bölü x artı bir ifadesinde, x artı bir'in eksi üç katı olan eksi üç x eksi üç bölü x artı bir şeklinde parçalanabilir.","Beş x altı bölü x eksi üç ifadesinde, x eksi üç'ün beş katı olan beş x onbeş bölü x eksi üç şeklinde parçalanabilir.","Parçalama yöntemi, kesirli ifadelerde pratik çözüm sağlar."]},"beginTime":287,"endTime":345,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=287&ask_summarization=1"},{"index":4,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["Üç y bölü y ifadesi, üç artı on y şeklinde parçalanabilir.","x'in tam sayı olabilmesi için on sayısının y sayısına tam bölünebilmesi gerekir.","On sayısı bir, iki, beş, on, eksi bir, eksi iki, eksi beş, eksi on değerlerine tam bölünebilir, toplam sekiz farklı değer 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sayısı 1'e, 2'ye, 4'e, -1'e, -2'ye ve -4'e tam olarak bölünebilir.","x+1=2 veya x+1=4 olduğunda x pozitif tam sayı olur ve x'in alabileceği değerler çarpımı 3 olarak bulunur."]},"beginTime":585,"endTime":744,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=585&ask_summarization=1"},{"index":7,"title":"Matematik Problemlerinin Çözüm Yöntemi","list":{"type":"unordered","items":["Matematik problemlerini çözerken önce parçalama yöntemi kullanılır.","Pay ve payda arasındaki ilişkiyi bulmak için harflerin katsayıları dikkate alınır.","İfadenin tam sayı olabilmesi için paydaki ifadenin paydaya tam bölünebilmesi gerekir."]},"beginTime":750,"endTime":801,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=750&ask_summarization=1"},{"index":8,"title":"İlk Örnek Problemin Çözümü","list":{"type":"unordered","items":["İfadenin tam sayı olabilmesi için 3 sayısının a+5'e tam bölünebilmesi gerekir.","3 sayısı 1'e, 3'e, -1'e ve -3'e tam bölünebilir.","a'nın alabileceği değerler toplamı -20 olarak bulunur."]},"beginTime":801,"endTime":909,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=801&ask_summarization=1"},{"index":9,"title":"İkinci Örnek Problemin Çözümü","list":{"type":"unordered","items":["İfadenin pozitif tam sayı olabilmesi için 2 sayısının x+1'e tam bölünebilmesi gerekir.","x+1=2 olduğunda x=1 ve y=3 olarak bulunur.","x ve y'nin çarpımı 3 olarak hesaplanır."]},"beginTime":909,"endTime":1096,"href":"/video/preview/10399670876651129178?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=909&ask_summarization=1"},{"index":10,"title":"İkili Bulma Yöntemi","list":{"type":"unordered","items":["İkili 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Öğretmen, faktöriyel konusunun devamını anlatmaktadır.","Videoda faktöriyel sayıların sondan kaç basamağında sıfır olduğunu bulma yöntemi detaylı olarak açıklanmaktadır. Öğretmen, faktöriyel sayıyı sürekli beşe bölmek, beş çarpanı varsa eklemeyi unutmamak ve faktöriyel ifadelerinin nasıl inceleneceğini adım adım göstermektedir. Ayrıca, faktöriyel sayıların toplamı veya farkı verildiğinde nasıl işlem yapılacağı ve \"buff\" (Bir Eksiğini Al) gibi çözüm teknikleri örneklerle anlatılmaktadır.","Video, temel kavramlar konusunun son bölümü olup, toplam 110 soru çözülmektedir. 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ve sondan kaç basamağın sıfır olduğunu soruyorsa, büyük faktöriyel sayıları silip atmak gerekir.","Örneğin, 84! + 16! işleminde sondan kaç basamağın sıfır olduğunu bulmak için sadece 16! sayısının sondan kaç basamağında sıfır olduğunu hesaplamak yeterlidir.","Bu durumda 16! sayısında 3 sıfır olduğu için toplamda da sondan 3 basamağın sıfır olduğu anlaşılır."]},"beginTime":534,"endTime":671,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=534&ask_summarization=1"},{"index":5,"title":"Faktöriyel Sayılarının Sıfır Sayısı Hesaplama","list":{"type":"unordered","items":["Faktöriyel sayılarının farkı veya toplamı verilen sorularda, sondan kaç basamağında sıfır olduğunu bulmak için büyük faktöriyel sayıları silip atmak ve küçük faktöriyel sayıya bakmak gerekir.","Bir faktöriyel sayısının sondan kaç basamağında sıfır olduğunu bulmak için, sayıyı sürekli 5'e bölmek ve sonuçta kaç defa 5 olduğunu 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gerekir, uzak ise büyük faktöriyel sayıyı silip atmak gerekir."]},"beginTime":723,"endTime":815,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=723&ask_summarization=1"},{"index":7,"title":"Ortak Paranteze Alma Örnekleri","list":{"type":"unordered","items":["18! + 19! sayısının sondan kaç basamağında sıfır olduğunu bulmak için ortak paranteze almak gerekir: 18!(1+19) = 18!×20.","18! sayısının sondan 3 basamağında sıfır olduğunu bulduktan sonra, 20 sayısının 5×4 şeklinde yazılabilmesi nedeniyle 1 eklenerek toplam 4 basamağında sıfır olduğu sonucuna ulaşılır.","Benzer şekilde 48! - 49! sayısının sondan kaç basamağında sıfır olduğunu bulmak için ortak paranteze alınıp 48!(1-49) = 48!×(-48) şeklinde yazılır."]},"beginTime":815,"endTime":1007,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=815&ask_summarization=1"},{"index":8,"title":"Faktöriyel Sayıları ile Çıkarma İşlemi","list":{"type":"unordered","items":["Faktöriyel sayıları ile çıkarma işlemi yaparken, önce verilen ifadeyi görselleştirmek gerekir.","95! sayısından 136 sayısını çıkarmak için, faktöriyel sayısının sondan sıfırlarla bitmesi düşünülerek çıkarma işlemi yapılabilir.","Çıkarma işlemi yaparken, sondaki basamaklardan başlayarak çıkarma yapılır ve sonuç elde edilir."]},"beginTime":1007,"endTime":1041,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=1007&ask_summarization=1"},{"index":9,"title":"Sayıların Son Basamakları Toplamı","list":{"type":"unordered","items":["Soruda verilen sayının son dört basamağındaki rakamların toplamı isteniyor ve bu toplam 27 olarak bulunuyor.","Sorunun çözümünde verilen ifade görselleştirilip, 136 çıkarılarak son dört basamağındaki rakamların toplamı hesaplanıyor."]},"beginTime":1053,"endTime":1094,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=1053&ask_summarization=1"},{"index":10,"title":"Faktöriyel Sayıları ve Sıfır Sayısı","list":{"type":"unordered","items":["Faktöriyel sayılarında \"sondan kaç basamağında dokuz vardır\" sorusu aslında \"sondan kaç basamağında sıfır vardır\" sorusunun başka bir ifadesidir.","Bir sayıdan bir çıkarıldığında, sıfır sayısı ile dokuz sayısı eşittir (örneğin 100-1=99, 1000-1=999).","24! sayısının sondan kaç basamağında sıfır var sorusu, 24'ü sürekli 5'e bölerek (4+0=4) cevap 4 olarak bulunuyor."]},"beginTime":1094,"endTime":1221,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=1094&ask_summarization=1"},{"index":11,"title":"Faktöriyel Sayıları ve Sıfır Sayısı Örnek","list":{"type":"unordered","items":["36! sayısının sondan kaç basamağında sıfır var sorusu, 36'ı sürekli 5'e bölerek (7+1=8) cevap 8 olarak bulunuyor.","21! sayısının sondan kaç basamağında sıfır var sorusu, 21'yi sürekli 5'e bölerek (4+0=4) cevap 4 olarak bulunuyor.","16! sayısının sondan kaç basamağında sıfır var sorusu, 16'ı sürekli 5'e bölerek (3+0=3) cevap 3 olarak bulunuyor.","Payda ve paydaki sıfırlar birbirini götürerek, geriye 9 tane sıfır kalıyor."]},"beginTime":1221,"endTime":1373,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=1221&ask_summarization=1"},{"index":12,"title":"Buff Şifresi","list":{"type":"unordered","items":["Matematikte \"buff\" şifresi, faktöriyel sayıları çözmede kullanılır ve çözüm mantığı her soruda aynıdır.","Buff şifresinde \"b\" bir eksiğini almak, \"a\" ardışık sayıların çarpımı şeklinde yazılıp yazılmadığını kontrol etmek, \"f\" faktöriyel şeklinde yazılıp yazılmadığını kontrol etmek anlamına gelir.","Örnek olarak 120! = x·y! sorusunda, \"b\" kuralı ile y=119 olarak bulunur ve x=120 olarak hesaplanır.","\"a\" kuralı ile 120 sayısını 6×5×4 şeklinde yazarak, y=3 olarak bulunur ve x=6 olarak hesaplanır."]},"beginTime":1373,"endTime":1575,"href":"/video/preview/11411078428072252855?parent-reqid=1774647111673711-10904084718094672184-balancer-l7leveler-kubr-yp-vla-149-BAL&text=BasicalE&t=1373&ask_summarization=1"},{"index":13,"title":"Faktöriyel Problemlerinin Çözümü","list":{"type":"unordered","items":["Faktöriyel problemlerinde, faktöriyel şeklinde yazılabilir mi, ardışık sayıların çarpımı şeklinde yazılabilir mi ve faktöriyel şeklinde 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