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#tutorial #audia4b9 How to Remove Display Monitor from Audi A4 S4 RS4 2016 for Replacement or Repair? 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Öğretmen, öğrencilere hitap ederek konuyu adım adım açıklamaktadır.","Video, bölme işleminin temel bileşenlerini (bölünen, bölen, bölüm ve kalan) açıklayarak başlıyor ve ardından bölünebilme kurallarını detaylı şekilde ele alıyor. İki ile bölünebilme, dört ile bölünebilme, sekiz ile bölünebilme, üç ile bölünebilme, dokuz ile bölünebilme, beş ile bölünebilme, on ile bölünebilme, onbir ile bölünebilme, on sekiz ile bölünebilme ve on üç ile bölünebilme kuralları örneklerle açıklanmaktadır.","Videoda ayrıca bölme işleminin matematiksel ifadeleri, kalanların özellikleri ve bölünebilme kurallarının toplama, çıkarma, çarpma ve üs alma işlemlerinde nasıl kullanılabileceği de anlatılmaktadır. Öğretmen, basit problemlerden başlayarak yazılı sorular, zor sorular ve bonus sorular şeklinde ilerleyerek konuyu pekiştirmektedir."]},"endTime":2918,"title":"Matematik Dersi: Bölme ve Bölünebilme Kuralları","beginTime":0}],"fullResult":[{"index":0,"title":"Bölme İşlemi Temel Kavramları","list":{"type":"unordered","items":["Bölme işleminde a bölünen, b bölen, c bölüm ve k kalan olarak adlandırılır.","Bölme işleminde kalan her zaman bölen (b) den küçük olmalıdır, aksi takdirde işlem devam eder.","Kalan sıfır olduğunda, a sayısı b'ye tam bölünür."]},"beginTime":4,"endTime":115,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=4&ask_summarization=1"},{"index":1,"title":"Bölme İşlemi Özellikleri","list":{"type":"unordered","items":["Kalan (k) bölüm (c) den küçükse, bölen ile bölüm yer değiştirilebilir.","Bölme işleminde her zaman \"a = b × c + k\" formülü kullanılır ve k'ın 0'a eşit veya b'den küçük olduğu belirtilmelidir."]},"beginTime":115,"endTime":200,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=115&ask_summarization=1"},{"index":2,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["M = 15n + 1 + n² formülüne göre, n'nin en büyük değeri 3'tür çünkü n = 4 olduğunda kalan (16) böleni (15) geçer.","M'nin en büyük değeri, n = 3 için 15 × 3 + 1 + 3² = 69 olarak hesaplanır."]},"beginTime":200,"endTime":268,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=200&ask_summarization=1"},{"index":3,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Bir matematik problemi çözülürken, değişkenlerin değerleri bulunarak ifadeye yerleştirilir ve hesaplamalar yapılır.","Bir bölme probleminde, bölen, bölünen, bölüm ve kalan arasındaki ilişki incelenir.","Bir eşitsizlik problemi çözülürken, x'in en küçük ve en büyük değerleri bulunarak sonuçlar hesaplanır."]},"beginTime":272,"endTime":544,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=272&ask_summarization=1"},{"index":4,"title":"Bölme İşlemi Alternatif Yöntemi","list":{"type":"unordered","items":["Normal bölme işlemine alternatif olarak, sayı basamaklarına ayrılıp her parçanın bölünmesi önerilir.","Bu yöntem, bölme işleminde kayma hatasını önlemeye yardımcı olur.","Bir sayı çift mi tek mi olduğu, matematik temel bilgilerinden biridir ve problemlerde kullanışlıdır."]},"beginTime":544,"endTime":797,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=544&ask_summarization=1"},{"index":5,"title":"Bölme ve Kalanlar Hakkında Önemli Bilgiler","list":{"type":"unordered","items":["Bir sayının bir sayıya bölümünden kalanlar, toplama, çıkarma ve çarpma işlemlerinde kullanılır.","İki sayının toplamının kalanı, kalanların toplamının bölünen sayıya bölümünden kalanla aynıdır.","Bir sayının karesi veya küpünün kalanı, sayının karesi veya küpünün bölünen sayıya bölümünden kalanla aynıdır."]},"beginTime":797,"endTime":1025,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=797&ask_summarization=1"},{"index":6,"title":"Bölme İşlemi ve Bonus Soru","list":{"type":"unordered","items":["Bir sayı 16'ya bölündüğünde kalan 10, 24'e bölündüğünde kalan 11 ise, a×b sayısının 4'e bölündüğünde kalanı bulmak için, a sayısının 4'e bölümünden kalan 2, b sayısının 4'e bölümünden kalan 3 olarak hesaplanır.","a×b sayısının 4'e bölümünden kalan 6 olur, ancak 4'e bölünme işleminde kalan 6 olamayacağından, kalan 2 olarak belirlenir."]},"beginTime":1030,"endTime":1161,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1030&ask_summarization=1"},{"index":7,"title":"Bölünebilme Kuralları","list":{"type":"unordered","items":["İki ile bölünebilme kuralında son basamak 2'nin katı olmalıdır, dörde bölünebilme kuralında son iki basamak 4'ün katı olmalıdır, sekize bölünebilme kuralında son üç basamak 8'in katı olmalıdır.","İki ile bölünebilme kuralında sayı çift ise kalan 0, tek ise kalan 1 olur; 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örneğin 18'e bölünen bir sayı hem 2'ye hem de 9'a bölünür."]},"beginTime":2225,"endTime":2483,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2225&ask_summarization=1"},{"index":12,"title":"Model Soru Çözümü","list":{"type":"unordered","items":["Beş basamaklı, rakamları farklı ve 18'e bölünebilen bir sayı için, son basamağının 2, 4, 6 veya 8 olabileceğini belirtiyoruz.","9'a bölünebilme kuralı gereği, rakamların toplamının 9'un katı olması gerektiğini ve bu koşulu sağlayan \"a\" değerlerini bulmamız gerektiğini açıklıyoruz."]},"beginTime":2483,"endTime":2541,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2483&ask_summarization=1"},{"index":13,"title":"Bölme Kuralı Soruları","list":{"type":"unordered","items":["Konuşmacı, bölme kurallarını kullanarak sayılarla ilgili problemleri çözüyor.","İkiye bölünme kuralı ve dokuz ile bölünme kuralı açıklanıyor.","Bir yazılı sorusu çözülüyor ve dörde bölünme kuralı kullanılarak çözüm bulunuyor."]},"beginTime":2541,"endTime":2672,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2541&ask_summarization=1"},{"index":14,"title":"Dokuza Bölünme Problemi","list":{"type":"unordered","items":["Dokuza bölünme kuralı kullanılarak bir sayı probleminin çözümü gösteriliyor.","Sayının dokuza bölümünden kalanın 6 olduğunu belirleyerek çözüm bulunuyor.","Sayının alabileceği değerler toplamı hesaplanıyor."]},"beginTime":2672,"endTime":2786,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2672&ask_summarization=1"},{"index":15,"title":"Onüçe Bölünme Sorusu","list":{"type":"unordered","items":["Onüçe bölünme kuralı kullanılarak bir soru çözülüyor.","İki sayının onüçe bölümünden kalanları karşılaştırılarak çözüm bulunuyor.","Üçyüz sayısının onüçe bölümünden kalanının 1 olduğu gösteriliyor."]},"beginTime":2786,"endTime":2897,"href":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2786&ask_summarization=1"}],"linkTemplate":"/video/preview/16707193977211755444?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. 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İlk olarak dönem takvimi ve ödevler hakkında bilgi verilmekte, ardından sayılar ve nicelikler, üslü ve köklü sayılar, aralık gösterimi, küme işlemleri, mutlak değer, sayı kümeleri, eşitsizlikler, tam kare ve doğrusal fonksiyonlar konuları detaylı olarak anlatılmaktadır.","Her konu, teorik bilgilerin yanı sıra örnek sorular ve pratik uygulamalarla pekiştirilmektedir. Özellikle \"elma muhabbeti\" gibi matematiksel kavramlar, mutlak değerli eşitsizlikler, doğrusal fonksiyonların grafik çizimi ve eğim hesaplaması gibi konular üzerinde durulmaktadır. Video, öğrencilere ödev olarak verilen problemler ve ödüllü bir soruyla sonlanmaktadır."]},"endTime":3859,"title":"9. Sınıf Matematik 1. Dönem Full Tekrar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"9. Sınıf Matematik 1. Dönem Full Tekrar","list":{"type":"unordered","items":["Tonguç Akademi 9. sınıf matematik 1. dönem full tekrar konusunu sunuyor.","1. dönem bitti ve şimdi 2. dönem için hazırlık yapılıyor.","Tonguç Akademi 10 yaşında ve sosyal medyada \"Tonguç 10 yaşında eşek\" olarak takip edilebilir."]},"beginTime":0,"endTime":76,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=0&ask_summarization=1"},{"index":1,"title":"1. Dönem Konuları","list":{"type":"unordered","items":["1. dönemde iki tema işlenmiş: sayılar ve nicelikler ve değişimler.","Sayılar temasında köklü ve üstü gösterimler, aralık gösterimleri, sayı küme özellikleri ve gerçek sayıların işlem özellikleri öğrenilmiş.","Nicelikler ve değişimler temasında doğrusal fonksiyonlar, mutlak değer fonksiyonları, denklem ve eşitsizlikler içeren problemler işlenmiş."]},"beginTime":76,"endTime":179,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=76&ask_summarization=1"},{"index":2,"title":"Üslü ve Köklü Gösterimler","list":{"type":"unordered","items":["Üslü gösterim, a sayısının n kere çarpıldığında a üzeri n şeklinde kısa gösterilmesidir.","Bilimsel gösterimde a sayısı 1 ile 10 arasında olmalı ve 10'un tam sayı kuvveti şeklinde yazılır.","Tabanlar aynıysa çarpmada üstler toplanır, bölmede üstler çıkarılır ve \"elma muhabbeti\" kuralı uygulanır."]},"beginTime":179,"endTime":401,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=179&ask_summarization=1"},{"index":3,"title":"Üslü Sayılarda Özel Durumlar","list":{"type":"unordered","items":["Üslü sayılarda üst eksi ise, sayı 1 bölü a şeklinde yazılır.","Üssün üssü çarpma kuralına göre, (a^n)^m = a^(n*m) şeklinde hesaplanır.","Üslü sayılarda x'in negatif n ile m'nin tek olma durumuna dikkat edilmelidir."]},"beginTime":401,"endTime":571,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=401&ask_summarization=1"},{"index":4,"title":"Üslü Sayılar ve Sıralama","list":{"type":"unordered","items":["Üslü sayıların sıralamasında, üstler eşit olduğunda tabanı büyük olan sayı büyüktür.","Üslü sayıları karşılaştırmak için, üstleri eşitlemek için ortak üs parantezine alınabilir.","Üslü sayıların basamak sayısı, 10 üzeri üs şeklinde yazıldığında, üs değeri kadar sıfır eklenir."]},"beginTime":579,"endTime":866,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=579&ask_summarization=1"},{"index":5,"title":"Köklü Sayılar","list":{"type":"unordered","items":["Köklü sayılar, üslü sayıların bir türüdür ve bölük kavramı varsa köklü sayılara dönüşür.","Kökün derecesi çiftse, kökün içi pozitif veya sıfır olabilir; tek sayı ise içi herhangi bir reel sayı olabilir.","Kökün derecesi ve üs aynı olduğunda, tek dereceli kök kök içindeki sayıyı verir, çift dereceli kök ise mutlak değer alır."]},"beginTime":866,"endTime":1023,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=866&ask_summarization=1"},{"index":6,"title":"Köklü Sayıların Özellikleri","list":{"type":"unordered","items":["Aynı dereceli köklerde ortak kök alınabilir.","Kökün içinde başka bir kök varsa, dereceler çarpılır.","Kök içindeki sayılar, ortak kök parantezine alınabilir."]},"beginTime":1023,"endTime":1129,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1023&ask_summarization=1"},{"index":7,"title":"Köklü Sayılarla İşlemler","list":{"type":"unordered","items":["Köklü sayılarla çarpma işlemi yaparken, pay ve payda ayrı ayrı hesaplanabilir veya birleştirilmiş şekilde yazılabilir.","Köklü sayılarla çarpma işleminde çapraz sadeleşme yapılabilir.","Köklü sayılarla çarpma işleminde, pay ve payda ayrı ayrı hesaplanabilir veya birleştirilmiş şekilde yazılabilir."]},"beginTime":1130,"endTime":1206,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1130&ask_summarization=1"},{"index":8,"title":"Eşlilik Muhabbeti","list":{"type":"unordered","items":["Eşlilik muhabbeti, paydamız rasyonel sayı olmalı ve kök olanlarda sadece köklü bir sayı varsa kökü kökle çarpıp kurtarırız.","Kök x ile kök x çarpıldığında x, kök y ile kök y çarpıldığında y elde edilir.","Köklü sayılarda genişletme mevzusu vardır; kökün derecesiyle içerdeki üslü genişletebilir ve sadeleştirebiliriz."]},"beginTime":1206,"endTime":1355,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1206&ask_summarization=1"},{"index":9,"title":"Köklü Sayıların Sıralaması","list":{"type":"unordered","items":["Köklü sayılarda sıralama yaparken, kökün derecesini eşitlemek için genişletme ve daraltma yapılabilir.","Negatif köklü sayıların karşılaştırılmasında, pozitifmiş gibi düşünüp en sonunda negatif olduğunda ters dönecek diye düşünerek halledilir.","Köklü sayıların sıralaması, kökün derecesi eşitlendikten sonra pozitif sayıların sıralaması gibi yapılır."]},"beginTime":1355,"endTime":1487,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1355&ask_summarization=1"},{"index":10,"title":"Aralık Gösterimi","list":{"type":"unordered","items":["Aralık gösteriminde, iki tarafında köşeli işaret varsa kapalı aralık, biri kapalı biri açık ise yarı açık aralık, ikisi de açık ise açık aralık olarak adlandırılır.","Aralık gösterimi sayı doğrusu üzerinde gösterildiğinde, kapalı aralıklar nokta ile, açık aralıklar çizgi ile gösterilir.","Aralık gösterimi küme gösteriminde süslü parantez içinde, cebirsel gösterimde ise sayılarla ifade edilir."]},"beginTime":1487,"endTime":1651,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1487&ask_summarization=1"},{"index":11,"title":"Aralık İşlemleri","list":{"type":"unordered","items":["Aralık kavramında birleşim, kesişim, fark ve tümleyen işlemleri vardır.","Birleşim işlemi için ters U, kesişim için ters slash, fark için çentik, tümleyen için çentik kullanılır.","Aralık işlemleri yaparken, sayı doğrusuna yazarak çözüm yapılabilir."]},"beginTime":1651,"endTime":1765,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1651&ask_summarization=1"},{"index":12,"title":"Küme İşlemleri","list":{"type":"unordered","items":["Birleşim işlemi, alt küme olduğunda üstteki küme olarak sonuçlanır.","Kesişim işlemi, ortak küme olarak sonuçlanır.","Fark işlemi, bir kümede olup diğerinde olmayan elemanları gösterir."]},"beginTime":1772,"endTime":1853,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1772&ask_summarization=1"},{"index":13,"title":"Tümleyen Kümeler","list":{"type":"unordered","items":["Bir kümenin tümleyeni, tüm sayılar kümesinden o küme çıkarılarak bulunur.","Tümleyen kümenin gösterimi, aralık kavramında da yapılabilir.","Tümleyen kümenin gösterimi, aralık kavramında da yapılabilir."]},"beginTime":1853,"endTime":1952,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1853&ask_summarization=1"},{"index":14,"title":"Mutlak Değer ve Aralıklar","list":{"type":"unordered","items":["Mutlak değer, bir sayının sıfıra olan uzaklığıdır ve eksi olamaz.","Aralıklar, mutlak değerli eşitsizliklerle gösterilebilir.","Aralıklar, mutlak değerli eşitsizliklerle gösterilebilir."]},"beginTime":1952,"endTime":2084,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=1952&ask_summarization=1"},{"index":15,"title":"Mutlak Değer Eşitsizlikleri","list":{"type":"unordered","items":["Mutlak değerli eşitsizliklerde, aralık dışındaki değerler için eşitsizlik yönü değişir.","Mutlak değerli eşitsizliklerde, aralık dışındaki değerler için eşitsizlik yönü değişir.","Mutlak değerli eşitsizliklerde, aralık dışındaki değerler için eşitsizlik yönü değişir."]},"beginTime":2084,"endTime":2274,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2084&ask_summarization=1"},{"index":16,"title":"Mutlak Değer Problemi Çözümü","list":{"type":"unordered","items":["Mutlak değer probleminde \"büyük eşittir\" işareti kullanıldığında, belirli bir uzaklıktan daha uzak değerler bulunur.","Mutlak değer problemlerinde, belirli bir sayıdan uzak olan değerler hesaplanarak aralıklar belirlenir.","Mutlak değer problemlerinde, belirli bir sayıdan uzak olan değerler hesaplanarak aralıklar belirlenir."]},"beginTime":2278,"endTime":2368,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2278&ask_summarization=1"},{"index":17,"title":"Sayı Kümelerinde Sıralama Kavramı","list":{"type":"unordered","items":["İki sayı birbirine eşit olduğunda, biri diğerinden büyük eşit ve diğeri de ondan büyük eşit olur.","Eşitsizliğin iki tarafına aynı sayı toplanıp çıkarılabilir, eşitsizliğin yönü değişmez.","Pozitif bir sayıyla iki taraf çarpılabilir, negatif bir sayıyla da iki taraf çarpılabilir, ancak negatif sayı ile çarpıldığında işaret yönü değişir."]},"beginTime":2368,"endTime":2448,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2368&ask_summarization=1"},{"index":18,"title":"Sayı Kümelerinin Özellikleri","list":{"type":"unordered","items":["İki sayı arasında başka bir o cinsten sayı olmasında arada olma özelliği vardır.","İki doğal sayı arasında her zaman bir doğal sayı yoktur, ancak rasyonel sayıların ve reel sayılarda iki sayı arasında kesinlikle başka bir rasyonel sayı vardır.","Kapalılık özelliği, bir işlem yapıldığında iki eleman alındığında cevabın yine o kümeden çıkmasıdır."]},"beginTime":2448,"endTime":2499,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2448&ask_summarization=1"},{"index":19,"title":"İşlemlerin Kapalılık Özellikleri","list":{"type":"unordered","items":["Çıkarma işlemi doğal sayılarda kapalı değildir, ancak tam sayılarda, rasyonel sayılarda ve reel sayılarda kapalıdır.","Çarpma işlemi her sayı kümesinde kapalıdır.","Bölme işlemi doğal sayılarda kapalı değildir, ancak tam sayılarda, rasyonel sayılarda ve reel sayılarda kapalıdır."]},"beginTime":2499,"endTime":2547,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2499&ask_summarization=1"},{"index":20,"title":"Matematiksel Semboller ve Özdeşlikler","list":{"type":"unordered","items":["Matematikte \"ve\", \"veya\", \"ise\", \"ancak ve ancak\" gibi sembolik ifadeler kullanılır.","Sözel önermeler matematiksel sembollerle yazılabilir.","Özdeşlikler arasında tam kare toplamı, toplamın tam karesi ve farkın tam karesi bulunmaktadır."]},"beginTime":2547,"endTime":2735,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2547&ask_summarization=1"},{"index":21,"title":"Kare ve İki Kare Farkı Uygulamaları","list":{"type":"unordered","items":["Kare farkı formülü, iki kare arasındaki farkı hesaplamak için kullanılır: (a+b)(a-b) = a² - b².","Kare şeklindeki bir bahçenin köşesinde havuz yapılmak isteniyor ve bu plan x+1 ve x+5 ile ayrılıyor.","Bahçenin alanı 4x² + 12x + 9 = (2x+3)² olarak hesaplanıyor ve havuzun alanı (x+2)(x-2) = x² - 4 olarak bulunuyor."]},"beginTime":2744,"endTime":2883,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2744&ask_summarization=1"},{"index":22,"title":"Köklü Sayılarda Kare Farkı","list":{"type":"unordered","items":["Köklü sayılarda kare farkı, kök içindeki ifadelerin kareleri alınarak hesaplanır.","√(16 + 7√9) - 1 ifadesi, √(4(3+√7)) - 1 şeklinde yazılabilir.","√11 + 2√28 ifadesi, √7 + √4 şeklinde açılarak 2 olarak bulunur."]},"beginTime":2883,"endTime":3000,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=2883&ask_summarization=1"},{"index":23,"title":"Doğrusal Fonksiyonlar ve Grafikleri","list":{"type":"unordered","items":["Doğrusal fonksiyon, birinci dereceden ve önünde katsayı 1 olan fonksiyonlardır.","Doğrusal fonksiyonda x'in önündeki sayı eğimi, y'yi kestiği nokta ise b değerini verir.","Fonksiyonun x'i kestiği nokta, f(x) = 0 şeklinde yazıldığında bulunur."]},"beginTime":3000,"endTime":3054,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3000&ask_summarization=1"},{"index":24,"title":"Doğrusal Fonksiyonların Ötelemeleri","list":{"type":"unordered","items":["f(x) = x fonksiyonundan yola çıkarak, f(x) - 2 ifadesi grafiği 2 birim aşağı indirir.","-1/3 ile çarpma işlemi, x'i sabit tutarak y'ye ayar vermek demektir.","f(x-2) ifadesi, grafiği 2 birim sağa kaydırır."]},"beginTime":3054,"endTime":3195,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3054&ask_summarization=1"},{"index":25,"title":"Doğrusal Fonksiyonların Dönüşümleri","list":{"type":"unordered","items":["Doğrusal fonksiyonlarda, grafiği yukarı veya aşağı çekmek için fonksiyonun başına sabit değer eklenir veya çıkarılır.","Fonksiyonun eğimi, grafiğin yatay eksenle yaptığı açının ölçüsüdür ve bu örnekte 3 birimdir.","Mutlak değerli fonksiyonlarda, mutlak değer içindeki ifadenin işaretleri değiştirilerek pozitif değerler alınır."]},"beginTime":3200,"endTime":3301,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3200&ask_summarization=1"},{"index":26,"title":"Mutlak Değerli Fonksiyon Örneği","list":{"type":"unordered","items":["|3x-6| fonksiyonunun grafiği, 3x-6 fonksiyonunun grafiğinin mutlak değer alınarak çizilir ve eksiler artıya çevrilir.","Fonksiyonun sıfırları, mutlak değer içindeki ifadenin sıfır olduğu noktalardır ve bu örnekte x=1 ve x=3'tür.","Fonksiyonun artan ve azalan aralıkları, grafiğin yatay eksenle yaptığı açıların yönüne göre belirlenir."]},"beginTime":3301,"endTime":3576,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3301&ask_summarization=1"},{"index":27,"title":"Doğrusal Fonksiyon Problemi","list":{"type":"unordered","items":["Bir parktaki 110 litre kapasiteli depo, sabit hızlı bir hortumla doldurulmaktadır.","Hortum açılıp su akıtmaya başladıktan sonra, 3 saatte 38 litre, 7 saatte 54 litre su dolmaktadır.","Depo tamamen dolması için 21 saat sürer ve başlangıçta depoda 26 litre su vardır."]},"beginTime":3576,"endTime":3785,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3576&ask_summarization=1"},{"index":28,"title":"Dersin Kapanışı","list":{"type":"unordered","items":["Öğrencilere test kitaplarını doldurmaları ve eksik kaldıkları konuları tekrar etmeleri tavsiye edilmektedir.","Ödüllü soru olarak, birinci dönem matematik dersinde en çok zorlandıkları konu sorulmaktadır."]},"beginTime":3785,"endTime":3847,"href":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=3785&ask_summarization=1"}],"linkTemplate":"/video/preview/2848300127452517855?parent-reqid=1767150731859213-5682679964297050454-balancer-l7leveler-kubr-yp-sas-28-BAL&text=VDOUBLE09&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. Sınıf 1. Dönem Matematik Full Tekrar 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