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İki kişi arasında diyalog şeklinde ilerleyen ders, mitoz bölünmenin temel prensiplerini açıklamaktadır.","Video, mitoz bölünmenin ne olduğunu, kim tarafından yapıldığını ve neden yapıldığını açıklayarak başlıyor. Ardından mitozun evreleri (kromozomların oluşumu, bağlanması, ekvator düzleminde dizilmesi, bölünmesi ve sitoplazma bölünmesi) detaylı olarak anlatılıyor. 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Öğretmen, konuları adım adım açıklayarak örneklerle pekiştirmektedir.","Video, matematik 1. dönem konularını özetleyerek başlamakta ve tam sayılar ile rasyonel sayılar konularını detaylı şekilde ele almaktadır. İlk bölümde tam sayılar, işaretli sayılar ve işlemler anlatılırken, devamında rasyonel sayılar, cebirsel ifadeler, örüntüler ve denklemler konularına geçilmektedir. Her konu, sayı doğrusu üzerinde gösterim, örnek problemler ve günlük hayattan uygulamalarla desteklenmektedir.","Video, birinci ünitenin sonunu ve ikinci ünitenin başlangıcını belirterek ilerlemekte, Tonguç adlı bir öğrencinin örnekleri üzerinden konular açıklanmaktadır. Ayrıca, Tonguç Akademi platformuna öğrencilerin eksiklerini gidermek için yönlendirildiği belirtilmektedir."]},"endTime":3567,"title":"Matematik 1. Dönem Full Özet Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik 1. Dönem Full Özet Dersi","list":{"type":"unordered","items":["İlk dönem matematik dersinde çok önemli konular görüldü ve bu konularla ilgili mükemmel bir özet ders hazırlanmıştır.","Dersin amacı ufak bilgiler vermek, sorular çözmek, taktikler ve teknikler paylaşarak tüm dönem konularını tekrar etmektir.","İlk dönem konuları müfredata yüzde yüz uyumlu bir şekilde tamamlanmış ve konu anlatımlı soru bankaları ile ödevlendirme yapılmıştır."]},"beginTime":0,"endTime":68,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=0&ask_summarization=1"},{"index":1,"title":"Soru Bankaları ve Kaynaklar","list":{"type":"unordered","items":["Konu anlatımlı soru bankasında eski tip ve yeni tip (yatay) sorular bulunmaktadır.","Taktik soru bankası, yeni tarz sorular içeren ve kare kod ile video çözümleri sunan bir kaynaktır.","Dinamo soru bankası, yeni nesil sorular ağırlıklı ve yazılıya hazırlık içeren bir kaynaktır."]},"beginTime":68,"endTime":172,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=68&ask_summarization=1"},{"index":2,"title":"1. 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sayı birbirini yok eder ve sonuç artı üç olur.","Eksi sekiz ile eksi üç toplandığında, toplam eksi onbir olur."]},"beginTime":924,"endTime":976,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=924&ask_summarization=1"},{"index":9,"title":"Sayı Doğrusu ve İşlemler","list":{"type":"unordered","items":["Sayı doğrusunda toplama işlemi yapılırken, başlangıç noktasından itibaren belirtilen birimler kadar sağa doğru ilerlenir.","Çıkarma işlemi yapılırken, çıkarma işlemini toplama işlemine çevirerek (eksi ile eksi artıya dönüşür) sayı doğrusunda işlem yapılır.","Çıkarma işleminde yeterli sayı yoksa, nötr bir değer (bir eksi bir artı) eklenerek işlem tamamlanır."]},"beginTime":977,"endTime":1162,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=977&ask_summarization=1"},{"index":10,"title":"Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["Toplama işleminde değişme özelliği vardır: sayıların yerleri değişse de sonuç değişmez.","Birleşme özelliği vardır: birleşen sayılar değişse de sonuç değişmez.","Toplama işleminin etkisiz elemanı sıfırdır ve ters elemanı ise işaretini değiştirir (eksi onun tersi artı on)."]},"beginTime":1162,"endTime":1247,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1162&ask_summarization=1"},{"index":11,"title":"Çarpma İşleminin Özellikleri","list":{"type":"unordered","items":["Çarpma işleminde de değişme özelliği vardır: sayıların yerleri değişse de sonuç değişmez.","Birleşme özelliği vardır: birleşen sayılar değişse de sonuç değişmez.","Çarpma işleminin yutan elemanı sıfırdır ve ters elemanı ise işaretini değiştirmez (artı iki'nin tersi bir bölü iki)."]},"beginTime":1247,"endTime":1328,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1247&ask_summarization=1"},{"index":12,"title":"Tam Sayı Problemleri","list":{"type":"unordered","items":["İki şehir arasındaki sıcaklık farkı hesaplanırken, büyük sıcaklık değeri küçük sıcaklık değerinden çıkarılır.","Bir sınavda doğru, yanlış ve boş bırakılan soruların puan hesaplaması yapılırken, doğru sorular için artı puan, yanlış sorular için eksi puan alınır.","İlk ünite tam sayılarla bitirilerek, rasyonel sayılarla ilgili konulara geçilecek."]},"beginTime":1328,"endTime":1483,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1328&ask_summarization=1"},{"index":13,"title":"Rasyonel Sayıları Sayı Doğrusunda Gösterme","list":{"type":"unordered","items":["Basit kesirler her zaman sıfır ile bir aralığında yer alır.","Negatif rasyonel sayılar sayı doğrusunda negatif ekseninde gösterilir.","Tam sayılı kesirler, önce tam kısmı gösterilir, sonra kesir kısmı için payda kadar bölme yapılır."]},"beginTime":1492,"endTime":1558,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1492&ask_summarization=1"},{"index":14,"title":"Sıfır Paydası ve Ondalık Gösterim","list":{"type":"unordered","items":["Bir sayı sıfıra bölünemez, bu durum matematiksel olarak tanımsızdır.","Ondalık gösterimde payda 10, 100, 1000 gibi 10'un kuvvetlerine eşitlenir.","Kesirleri ondalık gösterimde yazmak için pay ve paydayı aynı sayı ile genişletme yapılır."]},"beginTime":1558,"endTime":1713,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1558&ask_summarization=1"},{"index":15,"title":"Devirli Ondalık Sayılar","list":{"type":"unordered","items":["Paydası 10, 100, 1000 olmayan kesirler bölme işlemiyle ondalık gösterimde yazılır.","Olanaksız bölme durumunda devirli ondalık sayılar oluşur ve devreden sayıların üzerine çizgi konulur.","Devirli ondalık sayıları rasyonel sayıya çevirmek için sayının tamamı yazılır, üzerinde çizgi olmayan sayı çıkarılır ve virgülden sonra devreden sayı kadar 9 yazılır."]},"beginTime":1713,"endTime":1857,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1713&ask_summarization=1"},{"index":16,"title":"Rasyonel Sayıların Sıralaması","list":{"type":"unordered","items":["Paydaları eşit olmayan rasyonel sayıları sıralamak için paydaları eşitlemek gerekir.","Negatif sayılar her zaman en küçük değerlerdir.","Paylar eşit olmayan rasyonel sayıları sıralamak için payları eşitlemek gerekir."]},"beginTime":1857,"endTime":1939,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1857&ask_summarization=1"},{"index":17,"title":"Rasyonel Sayıların Sıralaması","list":{"type":"unordered","items":["Negatif rasyonel sayıları sıralarken, önce işaretleri kaldırıp pozitif gibi sıralar, sonra tam tersini alırız.","Negatif sayılarda, paydaları eşitleyerek sıralama yapılır ve en küçük payda olan en küçüktür.","Negatif sayılarda sıralama yaparken, pozitif sayılar gibi sıralayıp sonra tam tersini almak gerekir."]},"beginTime":1944,"endTime":2050,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1944&ask_summarization=1"},{"index":18,"title":"Rasyonel Sayılarda Toplama-Çıkarma İşlemleri","list":{"type":"unordered","items":["Rasyonel sayılarda toplama-çıkarma yaparken mutlaka paydalar eşitlenmelidir.","İşaretler zıt olduğunda, büyükten küçüğü çıkarıp büyüğün işareti yazılır.","Aynı işaretli sayılar toplanırken, sayılar toplanıp ortak işareti yazılır."]},"beginTime":2050,"endTime":2156,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2050&ask_summarization=1"},{"index":19,"title":"Rasyonel Sayılarda Çarpma-Bölme İşlemleri","list":{"type":"unordered","items":["Çarpma işleminde pay ile pay, payda ile paydayı çarpılır ve işaretler kavga ederse sonuç negatif olur.","Bileşik kesirle çarpma yaparken, önce bileşik kesri çevirmek gerekir.","Bölme işleminde birinci terim aynen yazılır, ikinci terim ters çevrilip çarpılır."]},"beginTime":2156,"endTime":2272,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2156&ask_summarization=1"},{"index":20,"title":"Rasyonel Sayıların Tersleri ve Kuvvetleri","list":{"type":"unordered","items":["Bir rasyonel sayının toplamaya göre tersi, sadece işaretini değiştirir.","Bir rasyonel sayının çarpmaya göre tersi, pay ve paydayı yer değiştirir.","Pozitif sayıların her kuvveti pozitiftir, negatif sayıların çift kuvveti pozitif, tek kuvveti ise negatiftir."]},"beginTime":2272,"endTime":2403,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2272&ask_summarization=1"},{"index":21,"title":"Çok Adımlı İşlemler","list":{"type":"unordered","items":["Çok adımlı işlemlerde öncelikle üslü ifadelerin değerleri yazılır.","Köşeli parantez içindeki işlemler önce yapılır, sonra bölme işlemi yapılır.","Bileşik kesirle işlem yaparken önce bileşik kesri çevirmek gerekir."]},"beginTime":2403,"endTime":2524,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2403&ask_summarization=1"},{"index":22,"title":"Rasyonel Sayılar Problemleri","list":{"type":"unordered","items":["Bir bakkal 300 adet yumurtadan 1/5'ini taşıma sırasında kırmış, kalanların 3/8'ini evine götürmüş ve geriye kalan 150 yumurtayı tanesi 60 kuruştan satmış.","Kırılan yumurtalar 300/5 = 60, kalan 240 yumurta; evine götürülen 240×3/8 = 90 yumurta; satılan 240-90 = 150 yumurta ve elde edilen para 150×60 = 9000 kuruş = 90 TL."]},"beginTime":2537,"endTime":2628,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2537&ask_summarization=1"},{"index":23,"title":"Cebirsel İfadeler","list":{"type":"unordered","items":["Cebirsel ifadelerde tanıma, cebirsel olarak yazma, benzer terimler ve toplama çıkarma işlemleri, cebirsel ifadelerle ilgili problemler ve örüntüler konuları bulunmaktadır.","İçerisinde bir veya birden fazla bilinmeyen (x, y, a, b) bulunan ifadelere cebirsel ifadeler denir.","Cebirsel ifadelerde terimler toplama ve çıkarma ile birbirinden ayrılan ifadelerdir, katsayılar terimlerin başındaki sayılardır ve işaretleriyle yazılmalıdır."]},"beginTime":2628,"endTime":2705,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2628&ask_summarization=1"},{"index":24,"title":"Benzer Terimler ve İşlemler","list":{"type":"unordered","items":["Değişkenleri tamamen aynı olan terimlere benzer terimler denir ve kendi arasında toplanıp çıkarılabilir.","Parantez içinde toplama işlemi varsa parantez açılmadan işlem yapılır, eksi işaretli parantezlerde ise dağılma işlemi yapılır.","Dikdörtgenin çevresi hesaplanırken kenarların toplamı alınır ve 2 ile çarpılır."]},"beginTime":2705,"endTime":2952,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2705&ask_summarization=1"},{"index":25,"title":"Cebirsel İfadelerle Problemler","list":{"type":"unordered","items":["Cebirsel ifadelerle doğal sayı çarpılırken dağılma özelliği kullanılır.","Tonguç tanesi 5 TL olan kalemlerden 2x-3 tane, tanesi 7 TL olan boya kalemlerinden x+4 tane almıştır.","Toplam ödenecek para 17x+13 TL olarak hesaplanmıştır."]},"beginTime":2952,"endTime":3049,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2952&ask_summarization=1"},{"index":26,"title":"Örüntüler","list":{"type":"unordered","items":["Örüntü, belli bir kurala göre devam eden sayı veya şekil dizileridir.","Örüntülerde kural belirlendikten sonra genel terim yazılabilir, örneğin 3'er artan bir örüntünün genel terimi 3n+1 şeklinde yazılır.","Örüntülerde genel terim kullanılarak herhangi bir terimin değeri bulunabilir."]},"beginTime":3051,"endTime":3184,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3051&ask_summarization=1"},{"index":27,"title":"Eşitlik ve Denklem","list":{"type":"unordered","items":["Eşitlik, birden çok niceliğin değer olarak aynı veya denk miktarlarda olmaları durumudur.","Eşitliğin her iki tarafını aynı sayı ile toplamak, çıkarmak, çarpmak veya bölmek eşitliği bozmaz.","Denklem, içersinde bilinmeyen bulunan eşitliktir ve denklemlerde bilinmeyenleri yalnız bırakarak çözülebilir."]},"beginTime":3184,"endTime":3318,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3184&ask_summarization=1"},{"index":28,"title":"Denklem Çözümü","list":{"type":"unordered","items":["Denklem çözümlerinde her zaman ters işlem yaparak bilinmeyeni yalnız bırakmak gerekir.","Bilinmeyenleri büyük olan tarafta toplamak ve diğer sayıları diğer tarafta toplamak önemlidir.","Parantezli denklemlerde önce dağılma işlemi uygulanır, sonra benzer terimler toplanır ve denklem çözülür."]},"beginTime":3318,"endTime":3555,"href":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3318&ask_summarization=1"}],"linkTemplate":"/video/preview/9794841869701213407?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"7.Sınıf Matematik 1.Dönem Full 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Sınıflar! Sınıf Paketi'nde!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/758364/c9e94ac5a04072a42ea9922a524beced/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ngU3IQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=videoid:924964995910643863","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin Tonguç adlı öğrencisiyle birlikte 7. sınıf matematik konularını anlattığı eğitim içeriğidir. Öğretmen, etkileşimli bir şekilde dersi işlemektedir.","Video, tam sayılarla işlemler konusunu kapsamlı şekilde ele almaktadır. İlk olarak tam sayıların pozitif ve negatif sayıları tanıtılmakta, ardından sayı doğrusu üzerinde gösterilmektedir. Daha sonra toplama, çıkarma, çarpma ve bölme işlemlerinin temel kuralları, işlem özellikleri (değişme, birleşme, etkisiz eleman, ters eleman, yutan eleman, birim eleman, dağılma özelliği) detaylı şekilde anlatılmaktadır.","Video boyunca öğretmen, günlük hayattan örneklerle (borç hesaplamaları, sıcaklık farkları, sınav puanları) konuyu pekiştirmekte ve çeşitli alıştırmalar yapmaktadır. Ayrıca, 7. sınıf matematik programının ilk videosu olarak sunulan bu içerik, yaklaşık 71 saat sürecek bir kamp kapsamında yer almaktadır."]},"endTime":1925,"title":"7. Sınıf Matematik: Tam Sayılarla İşlemler","beginTime":0}],"fullResult":[{"index":0,"title":"Tam Sayılarla İşlemler Giriş","list":{"type":"unordered","items":["Tonguç'ta 7. sınıf matematik dersi başlıyor ve tam sayılarla işlemler konusu ele alınacak.","Bugün tam sayılarla toplama, çıkarma, çarpma ve bölme işlemleri, özellikleri ve problemleri işlenecek.","Konu anlatımı 71 saat sürecektir ve konuyu bütünüyle anlamak için 360 derece çalışılacak."]},"beginTime":1,"endTime":80,"href":"/video/preview/924964995910643863?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1&ask_summarization=1"},{"index":1,"title":"Sayı Doğrusu ve Tam Sayılar","list":{"type":"unordered","items":["Sayı doğrusunda ortadaki sayı sıfırdır, sağındaki sayılar pozitif tam sayılar, solundaki sayılar negatif tam sayılar olarak adlandırılır.","Pozitif sayılar artı işaretiyle, negatif sayılar eksi işaretiyle gösterilir.","Sayı doğrusu, bir apartmanın katları gibi düşünülebilir; sıfırıncı kat zemin kat, üstündeki katlar artı, altındaki katlar eksi olarak adlandırılır."]},"beginTime":80,"endTime":173,"href":"/video/preview/924964995910643863?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=80&ask_summarization=1"},{"index":2,"title":"Toplama İşlemi","list":{"type":"unordered","items":["Toplama işlemi en temel işlemdir ve aynı işaretli sayılar toplanır.","Pozitif sayılar (artı) toplandığında sonuç pozitif olur, negatif sayılar (eksi) toplandığında sonuç negatif olur.","Farklı işaretli sayılar (artı ile eksi) toplandığında, daha kuvvetli olan işaret sonucu belirler; artı daha kuvvetliyse sonuç artı, eksi daha kuvvetliyse sonuç eksi olur."]},"beginTime":173,"endTime":315,"href":"/video/preview/924964995910643863?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=173&ask_summarization=1"},{"index":3,"title":"Çıkarma 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Öncelikle rasyonel sayıların iki tam sayının birbirine bölümüyle oluştuğu, paydanın sıfırdan farklı olması gerektiği ve her tam sayının bir rasyonel sayı olduğu açıklanmaktadır. Daha sonra rasyonel sayıların sayı doğrusu üzerinde nasıl gösterileceği, tam sayılı kesirlerin nasıl yazılacağı ve sayı doğrusu üzerinde nasıl bulunacağı örneklerle anlatılmaktadır. Video, rasyonel sayıların farklı gösterimlerinin eşit olduğu bilgisiyle sonlanmaktadır."]},"endTime":501,"title":"Rasyonel Sayılar Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayılar Tanımı","list":{"type":"unordered","items":["Rasyonel sayı, iki tam sayının birbirine bölümüyle oluşur.","Rasyonel sayıda pay (üstteki sayı) ve payda (alttaki sayı) tam sayı olur, aralarında kesir çizgisi bulunur.","Payda mutlaka sıfırdan farklı olmalıdır çünkü bir sayı sıfıra bölünemez."]},"beginTime":15,"endTime":94,"href":"/video/preview/15203921353223531360?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=15&ask_summarization=1"},{"index":1,"title":"Rasyonel Sayıların Özellikleri","list":{"type":"unordered","items":["Her tam sayı bir rasyonel sayıdır ve paydası 1 olan bir kesir olarak ifade edilebilir.","Rasyonel sayılar Q harfi ile gösterilir.","Tam sayılı kesirler de rasyonel sayıdır ve paydası birden büyük olan 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Eğitmen, tam sayılarla işlemler ve üslü sayılar konularını detaylı bir şekilde anlatmaktadır.","Video, tam sayılarla toplama ve çıkarma işlemlerinin temel kurallarından başlayarak, pullar ve sayı doğrusu kullanarak örneklerle açıklamaktadır. Ardından çarpma ve bölme işlemlerinin kuralları, üslü sayılar konusu, kuvvet alma işlemi ve taban-üs kavramları ele alınmaktadır. Son bölümde ise günlük hayattan örnekler üzerinden (sıcaklık değişimleri, puanlama sistemleri, maden ocağı kazı hesaplaması gibi) matematik problemleri çözülmektedir.","Videoda matematiksel işlemlerin pullarla modelleme yöntemi, değişme ve birleşme özellikleri gibi temel matematik kavramları da açıklanmaktadır. Ayrıca negatif ve pozitif tam sayıların kuvvetleri, sıfırın tüm pozitif kuvvetlerinin sıfır olması, birin tüm kuvvetlerinin bir olması gibi önemli matematiksel kurallar örneklerle anlatılmaktadır."]},"endTime":3538,"title":"Tam Sayılar ve Üslü Sayılar Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Tam Sayılarla Toplama İşlemi","list":{"type":"unordered","items":["Pozitif iki tam sayının toplamı yine pozitif bir tam sayı vermektedir.","Negatif iki tam sayının toplamı yine negatif bir tam sayı vermektedir.","Ters işaretli iki tam sayı toplanırken, sayıların mutlak değerlerinin farkı bulunur ve sonuca mutlak değeri büyük olan sayının işareti yazılır."]},"beginTime":0,"endTime":148,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=0&ask_summarization=1"},{"index":1,"title":"Sayı Doğrusu ve Pullarla Toplama","list":{"type":"unordered","items":["Sayı doğrusu üzerinde pozitif 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olanın işareti sonuca yazılır."]},"beginTime":994,"endTime":1194,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=994&ask_summarization=1"},{"index":6,"title":"Tam Sayılarla Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["İşaretleri zıt olan tam sayılarda toplama işlemi çıkarma işlemine dönüşür, mutlak değeri büyük olan sayıdan küçük olan sayı çıkarılır ve mutlak değeri büyük olan sayının işareti sonuca yazılır.","Tam sayılarda toplama işleminin birleşme özelliği vardır, yani toplama işleminde parantezlerin konumu değiştirilse bile sonuç aynı kalır.","Sıfır, tam sayılarda toplama işleminin etkisiz elemanıdır çünkü herhangi bir sayı ile toplandığında o sayının kendisini verir."]},"beginTime":1200,"endTime":1370,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1200&ask_summarization=1"},{"index":7,"title":"Ters Eleman Özelliği","list":{"type":"unordered","items":["Tam sayılarda toplama işleminin ters eleman özelliği, bir tam sayının zıt işaretlisiyle toplandığında sonuç sıfıra (etkisiz elemana) eşit olur.","Zıt işaretli tam sayılarda toplama işlemi, birbirini götürerek başlangıç noktasına (sıfıra) ulaşmayı sağlar."]},"beginTime":1370,"endTime":1477,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1370&ask_summarization=1"},{"index":8,"title":"Tam Sayılarda Çarpma İşlemi","list":{"type":"unordered","items":["Tam sayılarda çarpma işlemi yaparken sayıların mutlak değerleri çarpılır ve aynı işaretli iki tam sayının çarpımı pozitif, ters işaretli iki tam sayının çarpımı negatif olur.","Eksi ile eksinin çarpımı, artı ile artının çarpımı pozitif değer verirken, artı ile eksinin çarpımı negatif değer verir.","Eksi bir ile çarpma işlemi, çarpılan sayının işaretini değiştirir (zıt işaretli yapar)."]},"beginTime":1477,"endTime":1682,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1477&ask_summarization=1"},{"index":9,"title":"Çarpma İşleminin Pullarla Gösterimi","list":{"type":"unordered","items":["Çarpma işlemini pullarla gösterirken, sonuca dikkat edilmelidir.","Eksi üç ile eksi iki'nin çarpımı modelleme yaparken, üç tane eksi iki dikdörtgeni gösterilir ve yanlarına nötr pul (artı pul) eklenir.","Eksi ikilik pullar çıkarıldığında kalan artı pullar sonucu verir."]},"beginTime":1682,"endTime":1791,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1682&ask_summarization=1"},{"index":10,"title":"Tam Sayılarla Çarpma İşlemi","list":{"type":"unordered","items":["Tam sayılarla çarpma işlemi modelleme örneğinde, eksi üç ile eksi üçün çarpımı eksi dokuz sonucunu verir.","Artı üç ile eksi üçün çarpımı eksi dokuz sonucunu verir, bu işlem pullarla modelleme ile gösterilmiştir.","Artı iki ile eksi iki'nin çarpımı eksi dört sonucunu verir ve pullarla modelleme ile dört tane eksi pulun sonucu olarak gösterilmesi sağlanmıştır."]},"beginTime":1809,"endTime":1904,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1809&ask_summarization=1"},{"index":11,"title":"Tam Sayılarla Bölme İşlemi","list":{"type":"unordered","items":["Tam sayılarla bölme işlemi yapılırken sayıların mutlak değerleri birbirine bölünür.","İşaretler aynı ise sonuç pozitif, işaretler zıt ise sonuç negatif olur.","Sıfır hariç sayıların eksi bir ile bölünmesi, sayıların işaretini değiştirir."]},"beginTime":1904,"endTime":2071,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=1904&ask_summarization=1"},{"index":12,"title":"Pullarla Bölme İşlemi Modelleme","list":{"type":"unordered","items":["Eksi altı artı iki bölme işlemi pullarla modelleme ile gösterilmiştir.","Eksi altı, altı tane eksi pul ile gösterilir ve iki gruba bölünür.","Her grupta üç tane eksi pul olduğu için sonuç eksi üç olarak bulunur."]},"beginTime":2071,"endTime":2172,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2071&ask_summarization=1"},{"index":13,"title":"Tam Sayıların Kuvveti","list":{"type":"unordered","items":["Bir sayının kendisiyle tekrarlı çarpımı o sayının kuvveti olarak adlandırılır.","Üç sayısının kuvvetleri: 3²=9, 3³=27, 3⁴=81 şeklinde hesaplanır.","Üslü sayıda a taban, n ise üs veya kuvvet olarak adlandırılır."]},"beginTime":2172,"endTime":2291,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2172&ask_summarization=1"},{"index":14,"title":"Eksi Dört Sayısının Kuvvetleri","list":{"type":"unordered","items":["Eksi dört sayısının birinci kuvveti bir tane eksi dört'tür.","Eksi dört sayısının ikinci kuvveti iki tane eksi dört'ün çarpımıdır ve sonucu artı onaltı verir.","Eksi dört sayısının üçüncü kuvveti üç tane eksi dört'ün çarpımıdır ve sonucu eksi altmışdört verir.","Eksi dört sayısının dördüncü kuvveti dört tane eksi dört'ün çarpımıdır ve sonucu artı ikiyüzellialtı verir."]},"beginTime":2295,"endTime":2356,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2295&ask_summarization=1"},{"index":15,"title":"Üslü İfadelerin Örnekleri","list":{"type":"unordered","items":["Eksi üç'ün ikinci kuvveti iki tane eksi üç'ün çarpımıdır ve sonucu artı dokuz verir.","Eksi bir'in üçüncü kuvveti üç tane eksi bir'in çarpımıdır ve sonucu eksi bir verir.","Artı ikinin sıfırıncı kuvveti ve eksi üç'ün sıfırıncı kuvveti her ikisi de bir verir.","Eksi ikinin beşinci kuvveti beş tane eksi ikinin çarpımıdır ve sonucu eksi otuziki verir.","Eksi bir'in sekizinci kuvveti sekiz tane eksi bir'in çarpımıdır ve sonucu artı bir verir."]},"beginTime":2356,"endTime":2487,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2356&ask_summarization=1"},{"index":16,"title":"Üslü İfadelerin Özellikleri","list":{"type":"unordered","items":["Sıfırın tüm pozitif kuvvetleri sıfırdır.","Her tam sayının birinci kuvvetinin değeri sayının kendisine eşittir.","Bir sayının ikinci kuvvetine o sayının karesi, üç kuvvetine ise o sayının küpü denir.","Pozitif bir sayının bütün kuvvetleri pozitiftir.","Birin bütün kuvvetleri birdir."]},"beginTime":2487,"endTime":2605,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2487&ask_summarization=1"},{"index":17,"title":"Negatif Sayıların Kuvvetleri","list":{"type":"unordered","items":["Negatif bir sayının çift kuvvetleri pozitif, tek kuvvetleri negatiftir.","Eksi ikinin karesi (ikinci kuvveti) artı dört verir çünkü üst çift sayıdır.","Eksi ikinin küpü (üçüncü kuvveti) eksi sekiz verir çünkü üst tek sayıdır.","Negatif sayıların üstlerinde parantezin önemi büyüktür.","Eksi iki üzeri dört ile eksi ikinin parantez dördüncü kuvveti arasında fark vardır; ilkisi eksi onaltı, ikincisi artı onaltı verir."]},"beginTime":2605,"endTime":2803,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2605&ask_summarization=1"},{"index":18,"title":"Eksi Birin Kuvvetleri","list":{"type":"unordered","items":["Eksi birin tek kuvvetleri eksi bir sonucunu verirken, çift kuvvetleri artı bir sonucunu verir (parantez içerisinde gösterilmek şartıyla).","Eksi birin tek kuvveti (-1)⁵¹³ = -1, çift kuvveti (-1)²¹⁶ = 1 olarak hesaplanır.","Parantez içerisinde olmasaydı, eksi birin her kuvveti eksi bir olurdu."]},"beginTime":2810,"endTime":2887,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2810&ask_summarization=1"},{"index":19,"title":"Sıfırıncı Kuvvet Özellikleri","list":{"type":"unordered","items":["Sıfırdan farklı bir sayının sıfırıncı kuvveti her zaman 1'e eşittir.","(-550)⁰ = 1 olurken, -550⁰ = -1 olur çünkü parantez içerisinde olmak zorundadır.","Sıfırın sıfırıncı kuvveti tanımsızdır."]},"beginTime":2887,"endTime":2941,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2887&ask_summarization=1"},{"index":20,"title":"Onun Kuvvetleri","list":{"type":"unordered","items":["10⁰ = 1, 10¹ = 10, 10² = 100, 10³ = 1000 şeklinde devam eder.","10 üzeri doğal sayı, 1'in yanına o kadar sıfır koymak anlamına gelir.","10²⁵, 1'in yanına 25 tane sıfır koyarak yazılır."]},"beginTime":2941,"endTime":3043,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=2941&ask_summarization=1"},{"index":21,"title":"Tam Sayı Problemlerinin Çözümü","list":{"type":"unordered","items":["Tam sayı problemlerini çözmek için adım adım işlemler yapılmalı, önce problem anlaşılmalı.","Verilen ve istenenler bir kenara yazılmalı, uygun strateji seçilmeli ve çözüme yürülmelidir."]},"beginTime":3043,"endTime":3068,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3043&ask_summarization=1"},{"index":22,"title":"Negatif ve Pozitif Tam Sayıların Kullanım Alanları","list":{"type":"unordered","items":["Yer altı, deniz derinliği, sıcaklık azalması, yanlış soruların puanlanması ve geriye doğru hareket negatif tam sayılarla ifade edilir.","Yer üstü, deniz yukarısı, sıcaklık artışı, doğru soruların puanlanması ve ileriye doğru hareket pozitif tam sayılarla ifade edilir."]},"beginTime":3068,"endTime":3169,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3068&ask_summarization=1"},{"index":23,"title":"Tam Sayı Problemleri Örnekleri","list":{"type":"unordered","items":["Bir ısıtıcı her dakika sıcaklığı +3°C artırırken, pencere açık kalması her dakika -5°C azaltır.","Her ikisi birden açıldığında sıcaklık her dakika -2°C azalır ve 6 dakika sonra -12°C azalır.","Ankara'da pazartesi günü gündüz sıcaklığı +12°C, gece -4°C olduğunda, sıcaklık farkı 16°C, ortalama sıcaklık ise 4°C'dir."]},"beginTime":3169,"endTime":3442,"href":"/video/preview/14064949277098912195?parent-reqid=1769672839805099-16775132464939475856-balancer-l7leveler-kubr-yp-sas-69-BAL&text=7LOPESR&t=3169&ask_summarization=1"},{"index":24,"title":"Maden Ocağı Kazı Problemi","list":{"type":"unordered","items":["Bir madenci grubu yüz metre derinliğindeki bir maden ocağında günde ortalama ikiyüz santimetre kazı yapıyor.","Maden ocağının derinliği metre cinsinden verilmişken kazı miktarı santimetre cinsinden verilmiş, bu nedenle metre değerini santimetre değerine çevirmek gerekiyor.","Maden ocağının derinliği 100 metre (10.000 santimetre) iken, 2.000 santimetre kazıldıktan sonra geriye 8.000 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