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İçerikte tabanları eşit olan üslü ifadelerin çarpılması, üsler eşit ifadelerin çarpılması, üslü ifadelerin çarpımı ve bölünmesi, bilimsel gösterim ve üslü sayıların sıralaması gibi konular işlenmektedir. Hoca, TYT ve AYT sınavlarında çıkan soru tiplerini örnek sorular üzerinden açıklamaktadır.","Video ayrıca tabanların 1'den büyük veya küçük olması durumunda eşitsizliklerin nasıl değiştiğini, basit kesirlerin kuvvetlerinin büyüdükçe değerlerinin küçüldüğünü ve logaritma konusunun temel prensiplerini de içermektedir. 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İlk bölümde üslü sayıların tanımı, taban ve üs kavramları, negatif sayıların çift ve tek kuvvetleri, sıfırıncı kuvvet ve negatif kuvvet anlatılmaktadır. İkinci bölümde üslü ifadelerde eksi işaretinin kullanımı, parantez içindeki eksi işaretinin dışarı çıkarılması ve üslü ifadelerde üslerin çarpılması konuları işlenmektedir. Son bölümde ise üslü denklemlerin çözümü ve üslü sayılarda toplama-çıkarma işlemleri örneklerle açıklanmaktadır.","Video, TYT ve AYT sınavlarında çıkan soru tiplerini de içermekte ve \"elma-armut\" benzetmesi gibi pratik yöntemler kullanılarak konu pekiştirilmektedir."]},"endTime":1590,"title":"Üslü Sayılar Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü Sayılara Giriş","list":{"type":"unordered","items":["Üslü sayılar konusu üç videoda anlatılacak ve her sene TYT'de en az bir soru çıkıyor.","Üslü sayılar temel bir konu olduğu için sağlam bilinmesi gerekiyor ve AYT'de de zaman zaman karşımıza çıkabiliyor.","Videonun altında PDF bulunuyor, indirip elinizle çalışarak daha iyi öğrenme sağlanabilir."]},"beginTime":10,"endTime":101,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=10&ask_summarization=1"},{"index":1,"title":"Üslü Sayıların Tanımı","list":{"type":"unordered","items":["Üs, a bir reel sayı ve n bir pozitif tam sayı olmak üzere n tane a sayısının çarpımıdır ve a üzeri n şeklinde ifade edilir.","Çarpılan sayılar taban, kaç kere çarptığımız üs olarak adlandırılır.","Örneğin, beş tane iki'nin çarpımı 2 üzeri 5 olarak yazılır."]},"beginTime":101,"endTime":152,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=101&ask_summarization=1"},{"index":2,"title":"Üslü Sayıların Temel Özellikleri","list":{"type":"unordered","items":["Negatif bir sayının çift kuvveti pozitif olur, örneğin -2 üzeri 4 = 16.","Negatif bir sayının tek kuvveti eksi parantezin dışına çıkar, örneğin -2 üzeri 5 = -32.","İki'nin kuvvetlerini belli bir yere kadar ezbere bilmek faydalı olabilir: 2¹=2, 2²=4, 2³=8, 2⁴=16, 2⁵=32, 2⁶=64, 2⁷=128, 2⁸=256, 2⁹=512, 2¹⁰=1024."]},"beginTime":152,"endTime":261,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=152&ask_summarization=1"},{"index":3,"title":"Parantez İçindeki Kuvvetler","list":{"type":"unordered","items":["Parantezin üzerinde kuvvet varsa, parantezin içindeki eksi ile kuvvet arasında ilişki yoktur, sadece parantezin dışındaki sayının kuvvetidir.","Parantezin içinde tek kuvvet varsa, eksi parantezin dışına çıkar.","Parantezin içinde çift kuvvet varsa, eksi yok olur."]},"beginTime":261,"endTime":331,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=261&ask_summarization=1"},{"index":4,"title":"Sıfırıncı Kuvvet ve Negatif Kuvvetler","list":{"type":"unordered","items":["Bir şeyin sıfırıncı kuvveti her zaman 1'dir, pozitif veya negatif olmasına bakılmaksızın.","Negatif kuvvet, sayının başındaki eksi ile hiçbir ilgisi yoktur, sadece sayıyı ters çevirmeye yarar.","Negatif kuvvet, sayıyı alt tarafa alarak kuvvet işaretini değiştirir, örneğin a üzeri eksi b = b üzeri a üzeri n."]},"beginTime":331,"endTime":656,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=331&ask_summarization=1"},{"index":5,"title":"Üslü İfadelerde Eksi İşareti","list":{"type":"unordered","items":["Üslü ifadelerde içerdeki eksi işaretinin dışarı çıkması için kuvvetin tek mi çift mi olduğuna bakılır.","Kuvvetin çift kuvveti olduğu zaman içerdeki eksi işaret yok olur, tek kuvveti olduğu zaman dışarıya çıkar.","Kuvvetteki eksi işaretini kurtarmak için sayıyı ters çevirmek gerekir."]},"beginTime":662,"endTime":756,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=662&ask_summarization=1"},{"index":6,"title":"Üslü Sayılarla Oyun Hamuru Problemi","list":{"type":"unordered","items":["Melis her adımda elindeki oyun hamurunu iki parçaya ayırıyor ve üçüncü adım sonunda sekiz parça elde ediyor.","Her adımda parça sayısı 2 üzeri kuvvet şeklinde artıyor: birinci adım 2, ikinci adım 4, üçüncü adım 8.","Eğer her adımda hamur üç parçaya ayrılırsa, dördüncü adım sonunda 3 üzeri 4 = 81 parça elde edilir."]},"beginTime":756,"endTime":956,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=756&ask_summarization=1"},{"index":7,"title":"Üslü Sayıların Özellikleri","list":{"type":"unordered","items":["Üslü sayılarda üssün üssü olursa, üsler yer değiştirebilir ve çarpılabilir.","Parantez içindeki eksi işaretinin dışarı çıkması için kuvvetin tek mi çift mi olduğuna bakılır.","Her iki tarafın herhangi bir kuvvetini alarak eşitliklerde işlem yapılabilir."]},"beginTime":956,"endTime":1303,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=956&ask_summarization=1"},{"index":8,"title":"Üslü Sayılar Problemi Çözümü","list":{"type":"unordered","items":["5 üzeri x = 3 üzeri y eşitliğinde y/x değerini bulmak için her iki tarafın 1/x'inci kuvveti alınır.","Üstün üssü kuralı kullanılarak 3 üzeri y/x üzeri 2 = 9 üzeri y/x = 5² = 25 bulunur.","Matematik problemlerini çözerken tekrar yazarak ve elde çalışarak pekiştirmek önemlidir."]},"beginTime":1306,"endTime":1416,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=1306&ask_summarization=1"},{"index":9,"title":"Üslü Sayılarda Toplama Çıkarma","list":{"type":"unordered","items":["Üslü sayılarda toplama çıkarmada ortak olan x üzeri n parantezine alınır ve parantez açılır.","\"Elma armut\" yöntemi kullanılarak benzer terimler toplanır, örneğin 9x¹³ + 9x¹³ + 9x¹³ = 9x¹⁴.","Farklı üslü terimler toplanamaz, örneğin a⁶ ve a⁵ toplanamaz, sadece benzer terimler toplanabilir."]},"beginTime":1416,"endTime":1564,"href":"/video/preview/7266830348615979692?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=1416&ask_summarization=1"},{"index":10,"title":"Video Kapanışı","list":{"type":"unordered","items":["Bu videoda üslü sayılar konusu ele alındı ve iki video daha var.","Diğer videolarda üslü 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Sayilarla Toplama-Çikarma Pratik Konu Özeti (7.Sınıf İMT Matematik) 📌Faydalanılan Kaynak: 7.Sınıf İMT Matematik Temelden Yeni Nesile Soru Bankası:▶️ https://dogrukaynak.com/urunler/detay...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3393492/db13f7a2c44097f14734ff131c680b73/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/g0gWRQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=videoid:3400775968986370175","teaser":[{"list":{"type":"unordered","items":["Bu video, Mete Hoca tarafından Denizli'den sunulan bir matematik eğitim içeriğidir. Öğretmen, tam sayılarla toplama ve çıkarma işlemlerini detaylı şekilde anlatmaktadır.","Video, tam sayılarla toplama ve çıkarma işlemlerini üç ana bölüme ayrılmış olarak ele almaktadır. İlk bölümde aynı işaretli ve farklı işaretli tam sayıların toplanması anlatılmakta, ikinci bölümde çıkarma işleminin toplama işlemine nasıl çevrilebileceği açıklanmakta, son bölümde ise toplama işleminin değişme, birleşme özellikleri, etkisiz eleman ve ters eleman kavramları örneklerle pekiştirilmektedir.","Öğretmen, konuları günlük hayattan örneklerle (borç, para, apartman katları, hava sıcaklığı gibi) açıklamakta ve çeşitli pratik sorular çözerek konuyu uygulamalı olarak pekiştirmektedir. Video, öğrencilere tam sayılarla toplama çıkarma işlemlerini kolayca anlamaları için gerekli temel bilgileri sunmaktadır."]},"endTime":1568,"title":"Tam Sayılarla Toplama ve Çıkarma Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Tam Sayılarla Toplama Çıkarma Giriş","list":{"type":"unordered","items":["Mete hocanın Denizli'den sunduğu bu derste tam sayılarla toplama çıkarma konusu pratik konu anlatımı ve soru çözümüyle ele alınacak.","Dersin PDF'si videonun açıklama kısmından veya imethoca.com siteminden ücretsiz üyeliksiz indirilebilir."]},"beginTime":0,"endTime":48,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Aynı İşaretli Sayıların Toplanması","list":{"type":"unordered","items":["Aynı işaretli iki tam sayı toplanırken sayılar mutlak değerce toplanır ve sonuca ortak işaret koyulur.","Mutlak değer, sayının işaretini görmezden gelerek pozitif gibi düşünmek anlamına gelir.","Negatif sayılar toplandığında (örneğin -3 + (-5)) mutlak değerce toplanır ve sonuca ortak negatif işaret koyulur."]},"beginTime":48,"endTime":131,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=48&ask_summarization=1"},{"index":2,"title":"Pratik Soru Çözümü","list":{"type":"unordered","items":["İlk soruda, -8 ile üçgen sayısının toplamı -12 olduğuna göre, üçgen yerine -4 gelmelidir.","8 ile kare sayısının toplamı 11 olduğuna göre, kare yerine +3 gelmelidir.","Doğru cevap A seçeneğidir."]},"beginTime":131,"endTime":318,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=131&ask_summarization=1"},{"index":3,"title":"Farklı İşaretli Sayıların Toplanması","list":{"type":"unordered","items":["Farklı işaretli iki tam sayı toplarken sayıların mutlak değerce farkı alınır ve sonuca mutlak değerce büyüğün işareti koyulur.","Örneğin, +5 + (-3) = 5 - 3 = 2 ve sonuca + işareti koyulur.","-7 + (+9) = 9 - 7 = 2 ve sonuca - işareti koyulur."]},"beginTime":318,"endTime":408,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=318&ask_summarization=1"},{"index":4,"title":"Uygulama Örneği","list":{"type":"unordered","items":["Kamile'nin hareketleri: +15 adım ileri, -17 adım geri, -23 adım geri, +13 adım ileri.","Aynı işaretli sayılar kendi arasında toplanır: +15 + +13 = +28.","Zıt işaretli sayılar toplanır: -17 - (-23) = 40 ve sonuca - işareti koyulur.","Sonuç: +28 - 40 = -12, yani Kamile başlangıç noktasından 12 adım geride kalmıştır."]},"beginTime":408,"endTime":519,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=408&ask_summarization=1"},{"index":5,"title":"Tam Sayılarla Toplama İşlemi","list":{"type":"unordered","items":["Toplama işleminde zıt işaretli sayılar toplanırken mutlak değerce büyükten küçüğe çıkarılır ve mutlak değerce büyük sayının işareti sonucun işareti olur.","Aynı işaretli sayılar toplanırken sayılar toplanır ve ortak işaret yazılır.","ABC işleminin sonucu -15 olarak bulunmuştur."]},"beginTime":523,"endTime":612,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=523&ask_summarization=1"},{"index":6,"title":"Tam Sayılarla Çıkarma İşlemi","list":{"type":"unordered","items":["Çıkarma işlemi pratiklik açısından toplamaya çevrilir: eksilen aynen yazılır, çıkanın zıt işaretlisi ile toplanır.","Çıkarma işleminde zıt işaretli sayılar toplanırken mutlak değerce büyükten küçüğe çıkarılır ve mutlak değerce büyük sayının işareti sonucun işareti olur.","Çıkarma işleminde her zaman eksi sonuç çıkmayabilir, artı sonuç da olabilir."]},"beginTime":612,"endTime":749,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=612&ask_summarization=1"},{"index":7,"title":"Çıkarma İşleminin Uygulamaları","list":{"type":"unordered","items":["Kamil'in oturduğu 7. kattaki evinin -2. kattaki otoparktan kaç kat yukarıda olduğunu bulmak için 7 - (-2) işlemi yapılır ve sonuç 9 kat olarak bulunur.","Erzurum'da hava sıcaklığının -3°C olduğu bir gün, yarın hava 2°C daha soğuyacaksa, ertesi günün hava sıcaklığını bulmak için -3 - 2 işlemi yapılır ve sonuç -5°C olarak bulunur.","Parantez olmadan toplama çıkarma yaparken her sayının hemen solundaki işaret ile birlikte düşünülmesi gerekir."]},"beginTime":749,"endTime":1014,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=749&ask_summarization=1"},{"index":8,"title":"Sayı Doğrusu Üzerinde Tam Sayılar","list":{"type":"unordered","items":["Eş aralıklara bölünmüş sayı doğrusunda -7 ile +5 sayıları arasında yer alan tam sayıların toplamı bulunurken, -7 ve +5 dahil değildir.","Sayı doğrusunda -4 ile +4, -3 ile +3, -2 ile +2, -1 ile +1 birbirini nötrler.","Sadece -6 ile -5 kalır ve toplamı -11 olarak bulunur."]},"beginTime":1014,"endTime":1058,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=1014&ask_summarization=1"},{"index":9,"title":"Tam Sayılarda Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["Tam sayılarda toplama işleminin değişme özelliği vardır, yani sayıların yerleri değiştirilebilir.","Tam sayılarda toplama işleminin birleşme özelliği vardır, yani sayılar aynı dizilimde olsa bile önce hangi iki sayı toplanırsa toplansın sonuç aynıdır.","Kamile, sayının dokuz ile tam bölünebildiğini göstermek için rakamlarının toplamını yaparken değişme özelliğini kullanmıştır."]},"beginTime":1062,"endTime":1225,"href":"/video/preview/3400775968986370175?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=1062&ask_summarization=1"},{"index":10,"title":"Toplama İşleminin Pratik Uygulamaları","list":{"type":"unordered","items":["Kamil, 142 - 18 + 158 işlemini daha hızlı yapmak için önce 142 + 158 = 300 işlemini yapmış, sonra 300'den 18'i çıkarmıştır.","Toplama işleminde yanlış uygulanan örneklerde, sayıların yerlerinin değiştirilmesi sonucu doğru sonuç elde edilemez.","Tam sayılarda toplama işleminin etkisiz elemanı 0'dır, bir sayı ile 0'ı topladığımızda yine aynı sayıyı elde 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Öğretmen, öğrencilere hitap ederek sayı örüntüleri konusunu anlatmaktadır.","Videoda öncelikle örüntü kavramı, genel kural ve temsilci sayı gibi temel kavramlar tanımlanmakta, ardından sayı örüntülerinde genel kuralın nasıl bulunacağı adım adım anlatılmaktadır. Kibrit çöpleri, dikdörtgen ve kare örüntüleri, benzin tüketimi gibi çeşitli örnekler üzerinden konu pekiştirilmektedir.","Video boyunca artış veya azalış miktarının hesaplanması, şekil örüntüleri üzerinden örnekler ve genel terim bilinen bir örüntünün istenen adımının bulunması gibi konular ele alınmaktadır. Dersin sonunda öğrencilere ödev çözümünün doğruluğunu kontrol etmeleri tavsiye edilmektedir."]},"endTime":1040,"title":"7. Sınıf Matematik: Sayı Örüntüleri ve Genel Kural","beginTime":0}],"fullResult":[{"index":0,"title":"7. 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İçerik, üstel fonksiyonun tanımı ve grafikleriyle başlayıp, logaritma fonksiyonunun tanımı, özellikleri (üslü kuvvet, çarpım ve bölüm kuralları), taban değiştirme kuralları, logaritma eşitsizlikleri ve logaritma fonksiyonlarının grafikleri gibi konuları kapsamaktadır.","Eğitmen, her bir konuyu örneklerle açıklamakta ve logaritma fonksiyonlarının artan-azalan durumlarını, tanım kümesini ve x eksenini kestiği noktaları belirleme yöntemlerini göstermektedir. Video, logaritma konusunu tek videoda tekrar etmek isteyenler için hazırlanmıştır."]},"endTime":1130,"title":"Logaritma Konusu Hızlandırılmış Tek Video Tekrarı","beginTime":0}],"fullResult":[{"index":0,"title":"Üstel Fonksiyon","list":{"type":"unordered","items":["Üstel fonksiyon, a elemanı pozitif reel sayı (1'den farklı) ve x elemanı reel sayı olmak üzere f(x) = a^x şeklinde tanımlanan birebir ve örten fonksiyondur.","a sayısı 1'den farklı olmalıdır çünkü 1 üzeri x her zaman 1'e eşittir ve bu durumda üstel fonksiyon elde edilemez.","a sayısı 1'den büyükse fonksiyon artan, 0'dan 1'e arasında ise azalan fonksiyon olarak adlandırılır."]},"beginTime":16,"endTime":144,"href":"/video/preview/9676395545351663929?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=16&ask_summarization=1"},{"index":1,"title":"Logaritma Fonksiyonu","list":{"type":"unordered","items":["Logaritma fonksiyonu, üstel fonksiyonun ters fonksiyonudur ve f(x) = log_a(x) şeklinde tanımlanır.","Üstel fonksiyonun tersi logaritma fonksiyonuna çevrilerek x değeri yalnız bırakılır: x = log_a(y) ve sonra x yerine y, y yerine x yazılır.","Logaritma fonksiyonunda taban (a) değeri 0'dan büyük ve 1'den farklı olmalıdır, ayrıca logaritmanın değeri (x) sıfırdan büyük olmalıdır."]},"beginTime":144,"endTime":358,"href":"/video/preview/9676395545351663929?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=144&ask_summarization=1"},{"index":2,"title":"Logaritmanın Özellikleri","list":{"type":"unordered","items":["Logaritma 10 tabanında x ifadesi log x olarak, logaritma e tabanında x ifadesi ln x olarak yazılır ve bunlara sırasıyla normal logaritma ve doğal logaritma denir.","Log_a(1) = 0, log_a(a) = 1 özellikleri vardır.","Logaritma üslü kuvvetlerde, log_a(b^m) = m * log_a(b) şeklinde katsayı olarak başa 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tabanında b, logaritma b tabanında a çarpı logaritma a tabanında b çarpı logaritma b tabanında a şeklinde yazılabilir ve sonucu 1'e eşittir.","Logaritma a tabanında b, logaritma b tabanında c, logaritma c tabanında d şeklinde yazıldığında, sadeleştirme yapılarak logaritma a tabanında d sonucuna ulaşılır."]},"beginTime":634,"endTime":768,"href":"/video/preview/9676395545351663929?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=634&ask_summarization=1"},{"index":5,"title":"Üslü Sayılar ve Logaritma İlişkisi","list":{"type":"unordered","items":["a üzeri logaritma b tabanında c ifadesi, c üzeri logaritma b tabanında a şeklinde yazılabilir.","a üzeri logaritma a tabanında b ifadesi, b üzeri logaritma a tabanında a şeklinde yazılabilir ve sonucu b'ye eşittir.","Logaritma a tabanında f(x) = b olduğunda, f(x) = a üzeri b şeklinde yazılabilir."]},"beginTime":768,"endTime":877,"href":"/video/preview/9676395545351663929?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=768&ask_summarization=1"},{"index":6,"title":"Logaritma Eşitsizlikleri","list":{"type":"unordered","items":["Logaritma a tabanında x \u003c logaritma a tabanında y olduğunda, a değeri 1'den büyük ise x \u003c y, 0'dan büyük ve 1'den küçük ise x > y olur.","Logaritma a tabanında x \u003c b olduğunda, a değeri 1'den büyük ise x \u003c a üzeri b, 0'dan büyük ve 1'den küçük ise x > a üzeri b olur."]},"beginTime":877,"endTime":995,"href":"/video/preview/9676395545351663929?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=877&ask_summarization=1"},{"index":7,"title":"Logaritma Fonksiyonlarının Grafikleri","list":{"type":"unordered","items":["Logaritma fonksiyonlarının grafiğini çizerken, f(x) > 0 şeklinde tanım kümesi 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In this video, we cover the topic \"Theme 1: Numbers and Quantities (1)\" in a detailed and understandable manner in 6th-grade mathematics, as part of the Turkey Century Maarif Model.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1589435/da4d1955cd2f7334f08873959cce2ae4/564x318_1"},"target":"_self","position":"19","reqid":"1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=videoid:5893458818312720900","teaser":[{"list":{"type":"unordered","items":["\"Sor Aviz\" kanalında yayınlanan bu eğitim videosunda, bir öğretmen ders kitabındaki izleme testi ve ölçme değerlendirme sorularını çözmektedir.","Video, doğal sayıların ortak bölen ve ortak kat bulma konularını ele almaktadır. İçerikte dikdörtgenler içindeki sayıların ortak bölenlerini bulma, ortak kat bulma teknikleri, doğru-yanlış soruları, kumaş parçalama, misket sayma, kutulara atma, buzdolabı fiyatı hesaplama, oklarla hedef tahtası atışları, pirinç ve bulgur poşetleme ve parktaki aydınlatma direkleri gibi çeşitli problem türleri adım adım çözülmektedir.","Her problem için detaylı çözüm yöntemleri ve örnekler sunulmakta, bölünebilme kuralları ve eşit bölenler konuları pekiştirilmektedir. Video, sınavlarda faydalı olabilecek problemlerin çözümünü içermektedir."]},"endTime":1615,"title":"Matematik Dersi: Ortak Bölen ve Ortak Kat Problemleri Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Ortak Bölenler Problemi","list":{"type":"unordered","items":["Dikdörtgenler içindeki doğal sayıların ortak bölenlerini bulup daire içinde işaretlemek gerekiyor.","Ortak bölenleri bulmak için sayıları birbirine bölmek yeterli, örneğin 12 ve 16'nın ortak bölenleri 6 ve 4'tür.","Daire içindeki sayılar, verilen sayıları tam bölen sayılar olmalıdır."]},"beginTime":25,"endTime":115,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=25&ask_summarization=1"},{"index":1,"title":"Ortak Katlar Problemi","list":{"type":"unordered","items":["Dikdörtgenler içindeki doğal sayıların ortak katlarını bulup daire içinde işaretlemek gerekiyor.","Ortak katları bulmak için sayıların katlarını yazıp ortak olanları seçmek yeterlidir.","En küçük ortak kat bulunduktan sonra, bu sayının tüm katları da ortak kat olarak kabul edilir."]},"beginTime":115,"endTime":239,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=115&ask_summarization=1"},{"index":2,"title":"Doğru-Yanlış Soruları","list":{"type":"unordered","items":["İki doğal sayının katlarından ortak olanlara bu sayıların ortak katı denir.","Farklı iki doğal sayının ortak bölenlerinin en küçüğü her zaman 1'dir.","İki doğal sayının bölenlerinden ortak olanlara bu sayıların ortak bölenleri denir.","İki doğal sayının ortak katlarının en büyüğü bu sayılardan birine eşit değildir çünkü katların sonu yoktur."]},"beginTime":239,"endTime":336,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=239&ask_summarization=1"},{"index":3,"title":"Kumaş Parçalama Problemi","list":{"type":"unordered","items":["Dilek, 72 cm ve 60 cm uzunluğundaki kumaşları eşit uzunlukta ve hiç artmayacak şekilde parçalara ayıracaktır.","Bir parçanın uzunluğunun cm cinsinden alabileceği farklı doğal sayı değerleri, kumaşların ortak bölenleridir.","72 ve 60'ın ortak bölenleri 1, 2, 3, 4, 6 ve 12'dir, bu da 6 farklı doğal sayı değeri anlamına gelir."]},"beginTime":336,"endTime":469,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=336&ask_summarization=1"},{"index":4,"title":"Misket Sayısı Problemi","list":{"type":"unordered","items":["Orhan'ın paketteki misketlerin sayısının 80'den fazla olduğunu ve hem 4'er hem de 6'şar sayılabildiğini görmüştür.","Misket sayısı hem 4'ün hem de 6'nın katı olmalıdır, bu da 12'nin katları anlamına gelir.","80'den fazla olan en küçük 12'nin katı 84'tür, bu da paketteki misket sayısının en az değeri olarak bulunur."]},"beginTime":469,"endTime":554,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=469&ask_summarization=1"},{"index":5,"title":"Top ve Kutu Oyunu","list":{"type":"unordered","items":["İsmail ve Eray, her birinin üzerinde birer doğal sayı yazan dokuz adet top ve dört adet kutu ile bir oyun tasarlamışlardır.","Topların üzerinde yazan sayıların çarpanı veya katı kullanılarak atılacağı kutular belirlenmiştir.","Onbir'in katı olan sayının yazılı olduğu top bir kutuya, çarpan sayısı en az olan sayının yazılı olduğu top iki kutuya, bölen sayısı en fazla olan sayının yazılı olduğu top üçüncü kutuya atılmıştır."]},"beginTime":560,"endTime":720,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=560&ask_summarization=1"},{"index":6,"title":"Kutu Soruları","list":{"type":"unordered","items":["Bir kutudaki toplarında yazan sayıların farkı 44'tür.","İki ve üç kutuda bulunan topların üzerindeki sayıların toplamı 73'tür.","En fazla sayıda top bulunan kutudaki topların üzerinde yazan sayıların toplamı 152'dir."]},"beginTime":720,"endTime":787,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=720&ask_summarization=1"},{"index":7,"title":"Buzdolabı Ödeme Seçenekleri","list":{"type":"unordered","items":["Kerem Bey bir beyaz eşya mağazasından buzdolabı almak istiyor ve mağazada satılan buzdolabına ait üç ödeme seçeneği bulunmaktadır.","Buzdolabının fiyat etiketindeki beş basamaklı sayının onbir'ler basamağındaki rakam 3, onlar ve birler basamağındaki rakam ise 8'dir.","Tüm ödeme seçeneklerinde her bir taksit tutarı TL cinsinden doğal sayıya karşılık geldiğine göre buzdolabının fiyatı 38.000 TL olabilir."]},"beginTime":787,"endTime":902,"href":"/video/preview/5893458818312720900?parent-reqid=1769681591677179-16801692920406045300-balancer-l7leveler-kubr-yp-vla-235-BAL&text=Matematik+-+Topic&t=787&ask_summarization=1"},{"index":8,"title":"Ok Atış Oyunu","list":{"type":"unordered","items":["Fatih ve Harun oklarla dikdörtgen şeklindeki hedef tahtasına üç'er atış yaparak her defasında okları farklı bir bölmeye isabet ettirmişlerdir.","İsabet ettirilen bölmede yazan sayı asal ise oku atan kişi 15 puan almıştır.","İsabet ettirilen bölmede yazan sayı asal sayı değil ise oku atan kişi bu sayının en büyük asal çarpanı kadar puan 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