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hesaplanır."]},"beginTime":253,"endTime":361,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=253&ask_summarization=1"},{"index":4,"title":"Mama Kapları Sorusu","list":{"type":"unordered","items":["Deniz, 180 metre uzunluğunda birbirine paralel kaldırımlardan birine 12'şer metre arayla kediler için, diğerine 15 metre arayla köpekler için mama kapları koymuştur.","Karşılıklı aynı hizada bulunan mama kaplarının yanına birer tane su kabı konulmuştur.","Mahalle muhtarı toplam 8 tane su kabı koymuştur."]},"beginTime":361,"endTime":494,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=361&ask_summarization=1"},{"index":5,"title":"Robot Sistemi Sorusu","list":{"type":"unordered","items":["Robot sistemine yüklenen yazılımdan aldığı talimata göre bilim kareleri oluşturan çizgiler üzerinde hareket etmektedir.","Tam kare olmayan kareköklü bir sayı girildiğinde yazılımın robota verdiği talimat, kareköklü sayının en yakın olduğu doğal sayı değeri kadar hareket etmesidir.","Yazılıma girilen kareköklü sayılardan kök 17 girilmesi durumunda robot başlangıç noktasından bitiş noktasına ulaşır."]},"beginTime":494,"endTime":637,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=494&ask_summarization=1"},{"index":6,"title":"Köklü Sayılarla İlgili Oyun Problemi","list":{"type":"unordered","items":["İç içe geçmiş yeşil ve turuncu çarklardan oluşan bir oyun sisteminde, çarklar durduğunda kırmızı üçgenin gösterdiği sayının karekökünden büyük en küçük doğal sayı ile mavi üçgenin gösterdiği sayının karekökünden küçük en büyük doğal sayı çarpılıyor.","Kök 157'yi mavi üçgenin gösterdiği turuncu bölgedeki sayının karekökünden küçük en büyük doğal sayı olan 7 ile çarpınca sonuç 91 bulunuyor."]},"beginTime":640,"endTime":716,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=640&ask_summarization=1"},{"index":7,"title":"Türk Bayrağı Problemi","list":{"type":"unordered","items":["Türk bayrağının boyu genişliğinin 1,5 katı (3/2) olarak verilmiş.","Bayrağın hem dileğin üst kısmına hem de zemine olan uzaklık kök 32 metre, bayrak direğinin boyu kök 200 metre.","Bayrağın bir yüzünün alanı 12 metrekare olarak hesaplanıyor."]},"beginTime":716,"endTime":844,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=716&ask_summarization=1"},{"index":8,"title":"Yaya Geçidi Problemi","list":{"type":"unordered","items":["Kerem yaya geçidine geldiğinde tabelada 10 yazdığını görmüş ve sabit hızla saniyede 1 metre yol alarak kırmızı ışık yanmadan 2 saniye önce karşıya varmıştır.","Kerem en az 8 metre gitmiştir.","Yaya geçidinin metre cinsinden uzunluğu kök 64 metreden büyük olamaz, bu nedenle kök 54 metreden büyük olan seçenekler arasından seçilmelidir."]},"beginTime":844,"endTime":944,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=844&ask_summarization=1"},{"index":9,"title":"Tabure Problemi","list":{"type":"unordered","items":["Taburenin yerden yüksekliği oturma bölümünün ok yönünde bir tam tur dönüşünde kök 3 cm artmaktadır.","Taburenin yerden yüksekliği en kısa 45 cm, en uzun 60 cm'dir.","Tabure en çok 8 tur döndürülebilir."]},"beginTime":944,"endTime":1071,"href":"/video/preview/15538274600203607620?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=944&ask_summarization=1"},{"index":10,"title":"Manav Satış Miktarı 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2024 Kampında 8.Sınıf Matematik dersinin en önemli konularından üslü ifadelerde 2.videodayız. Bu videoda üslü ifadeler ile işlemleri öğreneceğiz. #üslüifadeler Partikül LGS Planlama Defteri...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4303308/f5dbe268699fdb3c86b0be6e662b0965/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xY_ORgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=videoid:2800133704064212932","teaser":[{"list":{"type":"unordered","items":["Bu video, Melih Hoca tarafından Partikül Matematik kanalında sunulan, LGS öğrencilerine yönelik bir matematik dersidir.","Videoda üslü ifadelerle işlemler (toplama, çıkarma, çarpma, bölme) detaylı olarak anlatılmakta ve çeşitli problem çözümleri yapılmaktadır. İlk bölümde temel kurallar açıklanırken, sonraki bölümlerde tabanlar eşit olmayan durumlarda çözüm teknikleri, \"ciddiyet isteyen kek soru\" olarak adlandırılan zorlu örnekler ve üslü sayılarla ilgili çeşitli problemler çözülmektedir.","Öğretmen, konuları örneklerle pekiştirmekte ve öğrencilere matematik problemlerinde durağan kalmamak, farklı yaklaşımlar denemek ve şıklarda saklama tuzaklarına karşı dikkatli olmak gerektiğini vurgulamaktadır. Video sonunda öğrencilere ödev olarak test soruları verilmektedir."]},"endTime":2095,"title":"Üslü İfadelerle İşlemler ve Problemler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü İfadelerin İşlemleri","list":{"type":"unordered","items":["Melih Hoca, Partikül Matematik kanalında üslü ifadelerin ikinci bölümünü anlatacak.","Bu bölümde üslü ifadelerle toplama, çıkarma, çarpma ve bölme işlemlerini ele alacak.","Konuyu anlama ve bitirme için iki ayaklı yaklaşım öneriyor: videolar ve yeni nesil soru çözümleri ile ödevler yaparak kendini pekiştirmek."]},"beginTime":0,"endTime":49,"href":"/video/preview/2800133704064212932?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=0&ask_summarization=1"},{"index":1,"title":"Toplama ve Çıkarma İşlemleri","list":{"type":"unordered","items":["Toplama ve çıkarma işlemi en basit olanıdır, özel bir işlem anlatılmayacak.","Üslü ifadelerin değerlerini bulmak genellikle yeterlidir, ancak büyük ve eşit olan üslü sayıların katsayılarıyla işlem yapılabilir.","Tabanları eşit olan üslü ifadelerde ortak çarpan parantezine alınabilir."]},"beginTime":49,"endTime":216,"href":"/video/preview/2800133704064212932?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=49&ask_summarization=1"},{"index":2,"title":"Çarpma İşlemi","list":{"type":"unordered","items":["Çarpma işleminde iki durum vardır: tabanlar eşitse üstler toplanır.","Üstler eşitse tabanlar çarpılır.","Hiçbiri eşit değilse, üst üste kuralı kullanılarak eşitleme yapılır."]},"beginTime":216,"endTime":295,"href":"/video/preview/2800133704064212932?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=216&ask_summarization=1"},{"index":3,"title":"Üslü İfadelerde Çarpma İşlemi","list":{"type":"unordered","items":["Üslü ifadelerde çarpma işlemi yaparken üstler aynı ise tabanlar 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dikkat edilmelidir."]},"beginTime":792,"endTime":877,"href":"/video/preview/2800133704064212932?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=792&ask_summarization=1"},{"index":7,"title":"Matematik Problemlerinde Stratejiler","list":{"type":"unordered","items":["Üslü ifadelerde çarpma işlemi yapılırken üstler aynı kalır, tabanlar çarpılır.","Matematik sorularında durağan kalmak yerine farklı yaklaşımlar denemek önemlidir.","Sorularla ilgili yaratıcı yorumlar yapılabilir, bunlar belki sabitler kazandırabilir."]},"beginTime":879,"endTime":1003,"href":"/video/preview/2800133704064212932?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=879&ask_summarization=1"},{"index":8,"title":"Bakkal Rüstem Amca Problemi","list":{"type":"unordered","items":["Rüstem amca 30 üzeri 5 kilo nohutu 605 gramlık eş paketlere koyup her paketi 25 liraya satmaya karar 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2024 Kampında 8.Sınıf Matematik dersinin en önemli konularından birine başlıyoruz: #üslüifadeler Partikül LGS Planlama Defteri: 📚HepsiBurada: https://app.hps.im/d7ct/d5zb3h6l 📚Trendyol...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4219712/5bd24f2374fa60baf0bd2db79da9be00/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/StT9QgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=videoid:10312071432128168476","teaser":[{"list":{"type":"unordered","items":["Bu video, Melih Hoca tarafından Partikül Matematik kanalında sunulan bir matematik eğitim içeriğidir. Öğretmen, LGS sınavına hazırlanan öğrencilere yönelik üslü ifadeler konusunu detaylı şekilde anlatmaktadır.","Video, üslü ifadelerin temel tanımı ve özellikleri üzerine odaklanmaktadır. İçerikte taban ve kuvvet kavramları, pozitif ve negatif kuvvetlerin hesaplanması, üslü ifadelerin sıralanması, farklı tabanlar arasında dönüştürülmesi ve sayı doğrusunda yerleştirilmesi gibi konular örneklerle açıklanmaktadır. Ayrıca, negatif sayıların tek ve çift kuvvetlerinin işaretlerini nasıl etkilediği de detaylı olarak anlatılmaktadır.","Videoda LGS sınavında üslü ifadeler konusunun yaklaşık dört soru çıkardığı ve dolaylı olarak iki üç soru daha eklendiği belirtilmektedir. Öğretmen, iki, üç, beş ve altı gibi sayıların kuvvetlerinin ezberlenmesi gerektiğini vurgulamakta ve video sonunda öğrencilere Test 5 ve Test 6'yı çözmeleri tavsiye etmektedir. Bir sonraki videoda üslü ifadelerde işlemler ve bilimsel gösterim konularının işleneceği belirtilmektedir."]},"endTime":2269,"title":"LGS Matematik: Üslü İfadeler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Üslü İfadeler Konusuna Giriş","list":{"type":"unordered","items":["Melih hocanın Partikül Matematik kanalında üslü ifadeler konusuna giriş yapılıyor.","Üslü ifadeler LGS'de yaklaşık dört soru çıkıyor ve dolaylı olarak da iki-üç soru ekleniyor.","Ders sonunda ödevler verilecek ve çözüm videoları izlenebilecek."]},"beginTime":0,"endTime":81,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=0&ask_summarization=1"},{"index":1,"title":"Üslü İfadelerin Tanımı","list":{"type":"unordered","items":["Üslü ifadenin tanımı: Bir sayıyı çok defa çarpmaktan kurtulmak için kısa göstermektir.","Üslü ifadede altta kalan sayıya \"taban\", üstteki sayıya \"kuvvet\" veya \"üs\" denir.","Kuvvetin pozitif veya negatif olması en önemli mevzu olarak belirtiliyor."]},"beginTime":81,"endTime":132,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=81&ask_summarization=1"},{"index":2,"title":"Pozitif Kuvvetli Üslü İfadeler","list":{"type":"unordered","items":["Üslü ifadeler, aynı sayının sürekli tekrarlı çarpımını kısa yoldan göstermek için kullanılır.","Örneğin 2×2×2 ifadesi 2³ şeklinde gösterilir ve sonucu 8'dir.","Negatif sayıların üsleri de aynı şekilde gösterilir, örneğin (-5)² = 25 olarak hesaplanır."]},"beginTime":132,"endTime":274,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=132&ask_summarization=1"},{"index":3,"title":"Negatif Kuvvetli Üslü İfadeler","list":{"type":"unordered","items":["Negatif kuvvet, tabandaki sayının ters çevrilmesini gerektirir.","Örneğin 2⁻¹ = 1/2 olarak hesaplanır.","Negatif kuvvetli üslü ifadelerde, üs pozitif yapılır ve taban ters çevrilir, sonra normal üslü ifade hesaplanır."]},"beginTime":274,"endTime":431,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=274&ask_summarization=1"},{"index":4,"title":"Negatif Sayıların Kuvvetleri","list":{"type":"unordered","items":["Pozitif sayılarda kuvvetin tek veya çift olması sonucu etkilemez, sonuç her zaman pozitiftir.","Negatif sayılarda kuvvetin üstünde olup olmadığı önemlidir; parantez varsa çift kuvvet işaretini değiştirir.","Negatif sayının çift kuvveti pozitiftir, tek kuvveti ise negatif kalır."]},"beginTime":432,"endTime":580,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=432&ask_summarization=1"},{"index":5,"title":"Kuvvet İşlemlerinde Örnekler","list":{"type":"unordered","items":["Parantez yoksa çift kuvvet işaretini değiştirmez, sadece sayı üzerinde işlem yapar.","Parantez varsa çift kuvvet hem işaret hem de sayı üzerinde işlem yapar.","İşlem önceliğinde önce kuvvet işlemi yapılır, sonra işaret işlemleri yapılır."]},"beginTime":580,"endTime":816,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=580&ask_summarization=1"},{"index":6,"title":"Ondalık ve Rasyonel Sayılarla İşlemler","list":{"type":"unordered","items":["Ondalık sayılar kesir formuna çevrilerek işlem yapılır.","Negatif kuvvetli sayılar ters çevrilerek işlem yapılır.","Rasyonel sayılarda bölme işlemi, ters çevirip çarpma işlemine dönüştürülür."]},"beginTime":816,"endTime":1037,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=816&ask_summarization=1"},{"index":7,"title":"Üslü İfadelerde Üstün Üstü Çarpma","list":{"type":"unordered","items":["Üstün üstü çarpma kuralı: Üstün üstü çarpılır ve aynı kalır.","Üstün üstü çarpma örneği: 752² × 253² = 605² (2×3=6, 7×5=35)","Eksik üslü ifadelerde çarpma: (-2) × (-3) = +6, (-3) × (-4) = -12 (artı ile eksi çarpımı eksi olur)"]},"beginTime":1039,"endTime":1165,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1039&ask_summarization=1"},{"index":8,"title":"Üslü İfadelerde Denklem Çözümü","list":{"type":"unordered","items":["Üslü ifadelerde eşitlikte tabanlar aynı olmalı: 9^(x+1) = 81^36","81'ı 9'unkuvveti olarak yazabiliriz: 81 = 9², 81³⁶ = (9²)³⁶ = 9⁷²","Tabanlar eşit olduğunda üsler eşit olmalı: x+1 = 72, x = 71"]},"beginTime":1165,"endTime":1235,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1165&ask_summarization=1"},{"index":9,"title":"Üslü İfadeleri Ezberleme","list":{"type":"unordered","items":["2'nin 1'den 10'uncu kuvvetine kadar üslü ifadeleri ezberlemek gerekir.","3'ün 1'den 4'üncü kuvvetine kadar ve 5'ten 20'ye kadar kareleri ezberlenmelidir.","Bu bilgiler kareköklü ifadeler konusunda da kullanılacağından önceden öğrenilmelidir."]},"beginTime":1235,"endTime":1317,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1235&ask_summarization=1"},{"index":10,"title":"Üslü Sayıların Sıralaması","list":{"type":"unordered","items":["Üslü sayıları sıralamak için üç yöntem vardır: sayıları bulmak, tabanları eşitlemek veya üsleri eşitlemek.","Tabanları eşitleme yöntemi: akraba tabanları kullanarak (örneğin 4 = 2²) üsleri çarpma kuralı ile eşitlemek.","Üsleri eşitleme yöntemi: üsleri eşitleyerek tabanları kıyaslamak, böylece sıralama yapılabilir."]},"beginTime":1317,"endTime":1556,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1317&ask_summarization=1"},{"index":11,"title":"Üslü Sayıların Karşılaştırılması","list":{"type":"unordered","items":["Üslü sayıları karşılaştırmak için farklı tabanlarda olan sayıları aynı tabana dönüştürmek gerekiyor.","4, 8 ve 16 tabanlı sayıları karşılaştırmak için hepsini 2 tabanına dönüştürmek gerekiyor.","Dönüştürdükten sonra üstlerine bakarak sayıları küçükten büyüğe sıralayabiliriz."]},"beginTime":1560,"endTime":1639,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1560&ask_summarization=1"},{"index":12,"title":"Üslü Sayı Problemleri","list":{"type":"unordered","items":["Üslü ifadelerde paydada üst varsa, üslü ifadeyi paya çıkarırken işaret değiştirilir.","Ters çevirme işlemi, üslü ifadenin eksi kuvvetini almak anlamına gelir.","Üslü sayı problemlerinde, sayının çarpanlarına ayırılması ve üslü ifadenin dağılma özelliği kullanılarak çözüm bulunabilir."]},"beginTime":1639,"endTime":1871,"href":"/video/preview/10312071432128168476?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=1639&ask_summarization=1"},{"index":13,"title":"Sayı Doğrusu Üzerinde Üslü İfadeler","list":{"type":"unordered","items":["Üslü ifadelerin sayı doğrusu üzerindeki yerlerini belirlemek için değerlerini 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Matematik ile 9.Sınıf Matematik konularını yeniliyoruz!! Hem de bu kez MatBook 9 ile. 9.Sınıf 3.Ünite Denklem ve Eşitsizlikler 1.Ders Konumuz Sayı Kümeleri Doğal Sayılar Tam Sayılar Rakam...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/929605/855adc44cf57b409c8695b15400ff0c8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/9T1_QgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=videoid:3092449566655343218","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca tarafından sunulan bir matematik eğitim içeriğidir. Öğretmen, 9. sınıf matematik konularının en uzunlarından biri olan \"Denklem ve Eşitsizlikler\" konusuna giriş yapmaktadır.","Video, rakamların tanımı ve sayı kümelerinin incelenmesiyle başlayıp, sayma sayıları, doğal sayılar, tam sayılar, rasyonel sayılar, irrasyonel sayılar ve gerçek sayılar kümelerini detaylı şekilde ele almaktadır. Her bir küme için sayı doğrusu üzerinde gösterim yapılmakta ve kümelerin birbirleriyle ilişkisi açıklanmaktadır.","Videoda ayrıca çember, kare ve üçgen sembolleriyle temsil edilen dört işlem soruları çözülmekte ve ÖSYM sınavlarında çıkabilecek benzer sorular örneklerle anlatılmaktadır. Dersin sonunda öğrencilere \"Soru Avcısı\" kitabından ödev verilmekte ve geometri konusunun sıfırdan öğretilmesi için bir kamp planı paylaşılmaktadır. Video, 41. derste sona ermektedir."]},"endTime":1547,"title":"9. Sınıf Matematik Dersi: Rakamlar ve Sayı Kümeleri","beginTime":0}],"fullResult":[{"index":0,"title":"Denklem ve Eşitsizlikler Konusuna Giriş","list":{"type":"unordered","items":["Mehmet hocanın yeni bir konuyla ilgili dersi başlıyor.","Denklem ve eşitsizlikler konusu, 9. sınıfın en uzun konularından biri olup, sayılar, sayı kümeleri, denklemler, eşitsizlikler, mutlak değer ve oran-orantı gibi konuları içermektedir.","TYT matematiğinin %60-70'i bu konunun içerisinde yer almaktadır."]},"beginTime":0,"endTime":77,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=0&ask_summarization=1"},{"index":1,"title":"Rakamlar","list":{"type":"unordered","items":["Rakam, sayıları yazmak ve ifade etmek için kullanılan sembollerdir ve toplam 10 adet rakam vardır.","Rakamların her biri ve yan yana yazılmasıyla oluşan ifadelere sayı denir.","Rakamlarla ilgili sorularda, toplam en büyük değeri almak için en büyük rakamları (9 ve 8) kullanmak gerekirken, çarpım en küçük değeri almak için 0 ve 1 kullanılır."]},"beginTime":77,"endTime":206,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=77&ask_summarization=1"},{"index":2,"title":"Rakamlarla İlgili Soru Çözümleri","list":{"type":"unordered","items":["Rakamlarla ilgili işlemlerde, en büyük değer almak için rakamları doğru yerlere yerleştirmek önemlidir.","İşlemlerde katsayıların büyüklüğüne göre en büyük rakamları yerleştirmek gerekir.","Negatif değerlerde en küçük değer almak için, önünde pozitif katsayı olan terimlere en büyük rakamları vermek gerekir."]},"beginTime":206,"endTime":509,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=206&ask_summarization=1"},{"index":3,"title":"Sayı Kümeleri","list":{"type":"unordered","items":["Rakamlar sayısını elde etmek için kullanılır ve ilk elde edilen sayılar doğal sayılar ve sayma sayılarıdır.","Doğal sayılar kümesi (N) sıfırdan başlayıp sonsuza kadar gider.","Sayı doğrusunda doğal sayılar 0'dan başlayıp artı sonsuza kadar gider."]},"beginTime":509,"endTime":563,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=509&ask_summarization=1"},{"index":4,"title":"Sayma ve Doğal Sayılar","list":{"type":"unordered","items":["Sayma sayıları kümesi 1, 2, 3, 4, 5... şeklinde artı sonsuza kadar gider ve sayı doğrusunda noktalar halinde gösterilir.","Doğal sayılar kümesi sadece pozitif sayılar ve sıfır içerir, bazen negatif sayılar da gerekli olduğunda tam sayılar kümesi kullanılır."]},"beginTime":565,"endTime":616,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=565&ask_summarization=1"},{"index":5,"title":"Tam Sayılar","list":{"type":"unordered","items":["Tam sayılar kümesi (Z) eksi sonsuzdan başlayıp eksi üç, eksi iki, eksi bir, sıfır, bir, iki, üç... artı sonsuza kadar gider.","Pozitif tam sayılar kümesi sıfırdan sonraki sayılar olan 1, 2, 3... artı sonsuza kadar gider ve sayma sayıları kümesiyle aynıdır.","Negatif tam sayılar kümesi eksi sonsuzdan başlayıp eksi üç, eksi iki, eksi bir'e kadar gider ve sıfır ne pozitif ne negatif, işareti yoktur."]},"beginTime":616,"endTime":739,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=616&ask_summarization=1"},{"index":6,"title":"Rasyonel, İrrasyonel ve Gerçek Sayılar","list":{"type":"unordered","items":["Rasyonel sayılar kümesi (Q) a/b şeklindeki sayılarla oluşur, burada a ve b tam sayıdır ve b asla sıfır olamaz.","Rasyonel olmayan sayılara irrasyonel sayılar adı verilir ve örnekleri 5, 3 kök 3, pi sayısı ve Euler sayısıdır.","Gerçek sayılar kümesi içerisinde hem rasyonel sayılar hem de irrasyonel sayılar bulunmaktadır."]},"beginTime":739,"endTime":834,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=739&ask_summarization=1"},{"index":7,"title":"Sayı Kümeleri ve İlişkileri","list":{"type":"unordered","items":["Rasyonel sayılar tam sayıları, tam sayılar doğal sayıları kapsar.","Rasyonel sayılar ve irrasyonel sayılar birbirinden ayrık iki kümedir ve ortak elemanları yoktur.","Bu iki kümenin her birini kapsayan kümeye \"gerçek sayılar kümesi\" (veya \"reel sayılar kümesi\") denir."]},"beginTime":837,"endTime":902,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=837&ask_summarization=1"},{"index":8,"title":"Sayı Kümeleri Soruları","list":{"type":"unordered","items":["Eksi üç bir rasyonel sayıdır, ancak en küçük tam sayı değildir çünkü tam sayılar eksi sonsuzdan başlar.","Beş köklü ifadeler gerçek sayıdır, en küçük sayma sayısı birdir ve bir tam sayıdır.","Her tam sayı aynı zamanda bir rasyonel sayıdır çünkü tam sayılar rasyonel sayılar kümesinin içinde yer alır."]},"beginTime":902,"endTime":1001,"href":"/video/preview/3092449566655343218?parent-reqid=1765347143459618-13138543718041130957-balancer-l7leveler-kubr-yp-klg-238-BAL&text=BLV+MATEMAT%C4%B0K&t=902&ask_summarization=1"},{"index":9,"title":"Sayı Kümeleri Özellikleri","list":{"type":"unordered","items":["Her rasyonel sayı aynı zamanda bir gerçek sayıdır çünkü gerçek sayılar tüm sayıları 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