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Son bölümde ise sürtünme kuvveti yönü, kalem ölçümü ve elastik ip uzunluğu ile ilgili üç farklı fizik sorusu adım adım çözülmektedir."]},"endTime":1488,"title":"Fizik Dersi: Kuvvet ve Sürtünme Kuvveti","beginTime":0}],"fullResult":[{"index":0,"title":"Kuvvet ve Sürtünme Konusunun Tanıtımı","list":{"type":"unordered","items":["Kuvvet ve sürtünme konusu işlenecek.","Doğada var olan çeşitli kuvvetin etkileri öğrenilecek.","Kuvvetin büyüklüğü dinamometre ile ölçülecek ve sürtünme kuvveti pürüzlü ve kaygan yüzeyleri nasıl etkilediği anlatılacak."]},"beginTime":0,"endTime":44,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=0&ask_summarization=1"},{"index":1,"title":"Kuvvetin Tanımı ve Özellikleri","list":{"type":"unordered","items":["Kuvvet, hareket eden bir cismi durduran, duran bir cismi hareket ettiren, şekil, yön ve doğrultusunu değiştiren etkidir.","Kuvvetin sembolü F'dir ve birimi Newton'dur.","Kuvvetin ilk ölçümlemeyi yapan bilim adamı Newton'dur."]},"beginTime":44,"endTime":224,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=44&ask_summarization=1"},{"index":2,"title":"Kuvvetin Etkileri","list":{"type":"unordered","items":["Kuvvet cisimleri durdurabilir, harekete geçirebilir, yönünü değiştirebilir.","Kuvvet cisimleri şeklini değiştirebilir ve hızını değiştirebilir.","Kuvvetin etkisiyle şekil değişen, kuvvet ortadan kalktığında eski haline dönen cisimler esnek cisimlerdir."]},"beginTime":224,"endTime":321,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=224&ask_summarization=1"},{"index":3,"title":"Kuvvetin Etkileri","list":{"type":"unordered","items":["Çınar'ın gözlem defterinde pazartesi, salı ve çarşamba günlerinde bisikletin frenle durması, elmanın yere düşmesi ve topun camı kırması gibi olaylar gözlemlenmiştir.","Bisikletin frenle durması durdurma etkisi, elmanın yere düşmesi hızlanma etkisi, topun camı kırması ise şekil değiştirme etkisidir."]},"beginTime":324,"endTime":401,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=324&ask_summarization=1"},{"index":4,"title":"Dinamometre","list":{"type":"unordered","items":["Dinamometre, içinde sarmal yay kuvvetinin etkisiyle uzamaya başlayan kuvvet ölçen alettir.","Dinamometrede yaylar esnemesine göre uzamasına göre kuvvet ölçülür.","Dinamometre soru bankasında da dinamometre konusu bulunmaktadır."]},"beginTime":401,"endTime":467,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=401&ask_summarization=1"},{"index":5,"title":"Dinamometre Kullanımı","list":{"type":"unordered","items":["Dinamometre ile geminin ağırlığı ölçülürken, demir gemi ve bakır tren ağırlıkları dinamometrede farklı şekilde gösterilir.","Demir gemi 100 Newton ağırlığında olduğunda dinamometrede 5 parça dışarı çıkmış, bakır tren 40 Newton ağırlığında olduğunda 4 parça dışarı çıkmıştır.","Bir kilo demir ve bir kilo pamuk aynı kütlede olduğu için aynı ağırlıktadır."]},"beginTime":467,"endTime":541,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=467&ask_summarization=1"},{"index":6,"title":"Sürtünme Kuvveti","list":{"type":"unordered","items":["Sürtünme kuvveti, cisimle temas ettiği yüzey arasında oluşan ve cismin hareketini zorlaştıran kuvvettir.","Halı gibi pürüzlü yüzeylerde sürtünme daha fazladır, mermer gibi düz yüzeylerde sürtünme daha azdır.","Sürtünme her zaman hareketin tersine yöndedir ve zorlaştıran yöndedir."]},"beginTime":541,"endTime":711,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=541&ask_summarization=1"},{"index":7,"title":"Hava Direnci","list":{"type":"unordered","items":["Hava ortamının sürtünme kuvveti vardır ve bu kuvvete hava direnci denir.","Hava direnci, cismin hareket yönüne ters yönde uygulanır.","Jet uçaklar indiğinde paraşüt açılır çünkü çok hızlı gittiği için hava direnci sayesinde yavaşlaması sağlanır."]},"beginTime":711,"endTime":845,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=711&ask_summarization=1"},{"index":8,"title":"Aerodinamik ve Sürtünme Kuvveti","list":{"type":"unordered","items":["Aerodinamik, hava direncini azaltmaya çalışan bir ilkeye dayanır ve yüksek hızlara çıkabilmeyi sağlar.","Hava direnci, su direnci ve yerdeki sürtünme kuvveti gibi farklı sürtünme türleri vardır.","Tüm bu dirençler her zaman hareketin tersine olur ve yüzmeyi zorlaştırır."]},"beginTime":857,"endTime":949,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=857&ask_summarization=1"},{"index":9,"title":"Yeni Nesil Soru Çözümü","list":{"type":"unordered","items":["Fen bilimleri dersinde yapılan bir gösteri deneyinde, silgi aynı yükseklikten bırakıldığında birinci kaptaki silginin daha erken dibe batması gözlemlenmiştir.","Deneyin yapılış amacı suyun direncini tespit etmektir.","Silginin yavaş düşmesini sağlayan şey, aşağı doğru giderken yukarı doğru olmaya çalışan su direncidir."]},"beginTime":949,"endTime":1114,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=949&ask_summarization=1"},{"index":10,"title":"Ödev ve Sürpriz","list":{"type":"unordered","items":["Öğrencilere dinamo soru bankasında hayvanlar ünitesindeki sayfa 56-67 ve sürtünme konusundaki sayfa 62-67'yi yapmaları ödevi verilmiştir.","Yeni nesil taktikli tüm dersler kitabında sayfa 166-169'u yaparak konuyu tamamlamaları önerilmiştir.","Tonguç Akademi'nin canlı testine katılma fırsatı sunulmuştur."]},"beginTime":1114,"endTime":1339,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1114&ask_summarization=1"},{"index":11,"title":"Sürtünme Kuvveti Sorusu","list":{"type":"unordered","items":["Sürtünme kuvveti ve hareket yönü aynı yönde olamaz.","Doğru cevap Bursa seçeneğidir."]},"beginTime":1341,"endTime":1361,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1341&ask_summarization=1"},{"index":12,"title":"Kalem Ölçüm Sorusu","list":{"type":"unordered","items":["Kalem sıfırdan otuz'a kadar ölçüyor.","Doğru ölçüm için kırk ile elli arasında bir değer kullanılmalıdır.","Doğru cevap Bursa seçeneğidir."]},"beginTime":1361,"endTime":1394,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1361&ask_summarization=1"},{"index":13,"title":"Elastik İp Sorusu","list":{"type":"unordered","items":["Sapına on cm uzunluğunda elastik bir ip bağlanan kap tavana asılıyor.","Bir madeni para atıldığında elastik ipin boyu oniki santimetre oluyor.","İki madeni para atıldığında elastik ip uzunluğu onaltı santimetre olur."]},"beginTime":1394,"endTime":1468,"href":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1394&ask_summarization=1"}],"linkTemplate":"/video/preview/866139688010875450?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"5. 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Anahtarı Sistemi ile Hedeflerinde En Üste Ulaş! 👉 https://bit.ly/3k6Jeyr Şubat programı için tıkla👉http://bit.ly/3ooZECo 1.Dönem full tekrarlar başladı! Tatil Denemesi için tıkla 👉...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3820682/f718f3a7b8b4967d909936b10aacc904/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/tU_aNAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=videoid:13966848639065209878","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin 1. dönem matematik konularını kapsayan kapsamlı bir eğitim içeriğidir. Öğretmen, öğrencilere dönem boyunca öğretilen konuları adım adım ve örneklerle anlatmaktadır.","Video, doğal sayılar, kesirler, ondalık gösterimler, toplama-çıkarma işlemleri, yuvarlama, tahmin etme, çarpma-bölme işlemleri, üslü ifadeler, işlem önceliği ve kesir problemleri gibi temel matematik konularını kapsamaktadır. Her konu, teorik bilgilerin ardından örnek sorular çözülerek pekiştirilmektedir.","Öğretmen, konuları günlük hayattan örneklerle (Tonguç'un kalemleri almak için parası gibi) açıklamakta ve öğrencilerin konuyu daha iyi anlamasını sağlamak için pratik çözümler sunmaktadır. Ayrıca, derslerde kullanılan kitap önerileri de videoda yer almaktadır."]},"endTime":3844,"title":"1. Dönem Matematik Full Tekrar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Matematik 1. Dönem Full Tekrar Dersi","list":{"type":"unordered","items":["Matematik 1. dönem full tekrar ve özet dersi, tüm dönem boyunca görülen konuları taktikleriyle, teknikleriyle ve güzel noktalarıyla anlatacak.","Ders sırasında sorular çözülecek ve bir dönemle alakalı hiçbir eksiğin kalmadan yola tam gaz devam edilecek."]},"beginTime":0,"endTime":30,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=0&ask_summarization=1"},{"index":1,"title":"Kullanılacak Kitaplar","list":{"type":"unordered","items":["\"Sıfır'dan Beş'e Konu Altı Soru Bankası\" hem eski tip sorular hem de yeni nesil sorular içeriyor.","\"Taktikli Soru Bankası\" önce konuyu anlamayı sağlıyor, sonra taktikleri veriyor ve soruları çözüyor.","\"Dinamo Soru Bankası\" normal eski tip sorular ve daha zor yeni nesil sorular içeriyor.","\"Zoru Bankası\" tüm dersler soru bankası olarak kendini geliştirmek isteyenler için öneriliyor."]},"beginTime":30,"endTime":133,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=30&ask_summarization=1"},{"index":2,"title":"1. Dönem Matematik Konuları","list":{"type":"unordered","items":["İlk olarak doğal sayılar ünitesi ile milyonlar, örüntüler, milyonlar basamağının okunuşu ve yazılması konuları görüldü.","Toplama, çıkarma, çarpma, bölme, parantezli işlemler ve işlem önceliği konuları işlendi.","Kesirler konusu, kesir çeşitleri, denk kesirler, kesirlerde sıralama, toplama çıkarma, bütünden parçaya veya parçadan bütüne ve kesir problemleri konuları anlatıldı.","Ondalık gösterimler konusu, kesirleri ondalık olarak gösterme, yazma, çözümleme ve sıralama konuları işlendi."]},"beginTime":133,"endTime":201,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=133&ask_summarization=1"},{"index":3,"title":"Milyonlar Basamağı","list":{"type":"unordered","items":["Milyonlar basamağında her üç rakamın yan yana gelmesiyle oluşan kısma bölük adı verilir.","Bölüklerin isimleri: birler bölüğü, binler bölüğü ve milyonlar bölüğüdür.","Basamakların isimleri: birler basamağı, onlar basamağı, yüzler basamağı, binler basamağı, on binler basamağı, yüz binler basamağı, milyonlar basamağı, on milyonlar basamağı ve yüz milyonlar basamağıdır."]},"beginTime":201,"endTime":282,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=201&ask_summarization=1"},{"index":4,"title":"Sayıların Okunuşu ve Yazılması","list":{"type":"unordered","items":["Sayıların okunuşunda önce sayı okunur, sonra bölük ismi okunur.","Bölüklerde söylenmeyen basamaklara sıfır olarak düşünmek gerekir.","Türkçe olarak verilen ifadeleri sayısal olarak yazarken, bölüklerin üç basamaklı olması için gerekirse sıfırlarla doldurulur."]},"beginTime":282,"endTime":412,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=282&ask_summarization=1"},{"index":5,"title":"Sayı Değeri ve Basamak Değeri","list":{"type":"unordered","items":["Bir doğal sayının sayı değeri, o basamaktaki sayının kendisidir.","Basamak değeri, rakam ile o sayının basamak değerinin çarpımıdır.","Örneğin, 3.741.850 sayısında 5'in sayı değeri 5, 8'in sayı değeri 80, 1'in sayı değeri 100, 4'ün sayı değeri 4000, 7'in sayı değeri 70000, 3'ün sayı değeri 3.000'dür."]},"beginTime":412,"endTime":497,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=412&ask_summarization=1"},{"index":6,"title":"Doğal Sayıların Çözümlemesi","list":{"type":"unordered","items":["Doğal sayının basamak değerlerinin toplamı şeklinde yazılmasına çözümleme adı verilir.","Çözümleme yaparken, basamak değerlerine göre sayılar çarpılarak yazılır (örneğin 4.123.568 = 4×1.000.000 + 1×100.000 + 2×10.000 + 3×1.000 + 5×100 + 6×10 + 8×1).","Çözümlenmiş hali verilen sayıları normal hale yazmak için, basamak değerlerine göre sayıları yazmak gerekir (örneğin 90.627.304)."]},"beginTime":499,"endTime":655,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=499&ask_summarization=1"},{"index":7,"title":"Doğal Sayıları Karşılaştırma","list":{"type":"unordered","items":["Doğal sayıları karşılaştırırken, basamak sayısı büyük olan sayı her zaman büyüktür.","Basamak sayıları eşit ise, sayıları soldan sağa doğru kontrol ederek karşılaştırma yapılır.","Örneğin, 10.032.768 > 9.967.123 > 9.963.123 sıralamasında, ilk basamakta 10.000, 9.960'dan büyük olduğu için 10.000.000 > 9.960.000 olarak belirlenir."]},"beginTime":655,"endTime":772,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=655&ask_summarization=1"},{"index":8,"title":"Sayılarla İlgili Problemler","list":{"type":"unordered","items":["4, 2, 8, 50 rakamları birer kez kullanılarak 80.000'den büyük en küçük sayı 80.245'tir.","Sayılar veya şekiller belli bir kurala göre giden dizilere örüntü adı verilir.","Örüntülerde, sayılar veya şekiller belirli bir kurala göre devam eder (örneğin 4, 7, 10, 13 örüntüsünde 3'er artarak devam eder)."]},"beginTime":772,"endTime":929,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=772&ask_summarization=1"},{"index":9,"title":"Şekil Örüntüleri","list":{"type":"unordered","items":["Şekil örüntülerini çözerken, şekillerden sayılara geçiş yaparak kuralı belirlemek önemlidir.","Örneğin, yuvarlak örüntüsünde 3, 6, 9 şeklinde 3'er artarak devam eder.","Şekil örüntülerinde, kuralı belirledikten sonra dördüncü adım gibi sonraki adımları da çizebiliriz."]},"beginTime":929,"endTime":1024,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=929&ask_summarization=1"},{"index":10,"title":"Matematiksel Kural Bulma","list":{"type":"unordered","items":["Yan yana olan iki sayının çarpımı ortadaki sayıyı veriyor.","Bu kuralın geçerli olması için her iki durumda da uyması gerekiyor.","Verilen örnekte a=2 ve b=5 olarak bulunmuş, toplamları 7'dir."]},"beginTime":1033,"endTime":1135,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1033&ask_summarization=1"},{"index":11,"title":"Toplama İşlemi","list":{"type":"unordered","items":["Toplama işleminde basamaklar mutlaka alt alta yazılmalıdır.","Toplama sağdan sola doğru yapılır ve toplanan sayılar ondan büyükse elde sol tarafa aktarılır.","Toplama işleminde birinci ve ikinci sayıya \"toplanan\", üçüncü sayıya ise \"toplam\" denir."]},"beginTime":1135,"endTime":1282,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1135&ask_summarization=1"},{"index":12,"title":"Çıkarma İşlemi","list":{"type":"unordered","items":["Çıkarma işleminde basamaklar mutlaka alt alta yazılmalıdır.","Sayıyı çıkaramıyorsak komşudan bir onluk alırız.","Çıkarma işleminde birinci sayıya \"eksilen\", ikinci sayıya \"çıkan\", üçüncü sayıya ise \"fark\" denir."]},"beginTime":1282,"endTime":1447,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1282&ask_summarization=1"},{"index":13,"title":"Çıkarma İşleminde Bilinmeyen Bulma","list":{"type":"unordered","items":["Eksilen sayı, çıkan sayıyla farkın toplamına eşittir.","Çıkan sayı, eksilenden farkı çıkararak bulunur.","Verilen örnekte eksilen 21.860, çıkan 73.000 olarak hesaplanmıştır."]},"beginTime":1447,"endTime":1651,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1447&ask_summarization=1"},{"index":14,"title":"Yuvarlama İşlemi","list":{"type":"unordered","items":["Yuvarlama işlemi, sayının belirli bir basamağa göre yuvarlanmasıdır.","Birler, onlar ve yüzler basamağındaki sayılar, yanındaki sayıya göre yuvarlanır.","Yanındaki sayı 5 veya 5'ten büyükse, o basamağın rakamı bir artırılır; 5'ten küçükse, o basamağın rakamı değişmez."]},"beginTime":1666,"endTime":1724,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1666&ask_summarization=1"},{"index":15,"title":"Yuvarlama Örnekleri","list":{"type":"unordered","items":["16.853 sayısını yüzler basamağına göre yuvarladığımızda 16.900 olur.","Aynı sayıyı onlar basamağına göre yuvarladığımızda 16.850 kalır.","Aynı sayıyı on binler basamağına göre yuvarladığımızda 20.000 olur."]},"beginTime":1724,"endTime":1838,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1724&ask_summarization=1"},{"index":16,"title":"Toplama ve Çıkarma İşlemlerinde Tahmin Etme","list":{"type":"unordered","items":["İki basamaklı sayılar genellikle onluğa, üç basamaklı sayılar yüzlüğe, dört basamaklı sayılar binliğe yuvarlanır.","5.628 - 2.120 işleminde, eksilen sayı 5.600'e, çıkan sayı 2.100'e yuvarlanarak tahmini sonuç 3.900 bulunur.","Gerçek sonuç 3.508 olduğundan, tahmini sonuç ile gerçek sonuç arasında yaklaşık 400'lük bir fark vardır."]},"beginTime":1838,"endTime":2020,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=1838&ask_summarization=1"},{"index":17,"title":"Zihinden Toplama ve Çıkarma","list":{"type":"unordered","items":["Zihinden toplama ve çıkarma, işlemlere zaman kaybetmeden daha hızlı sonuç bulmayı sağlar.","Onluk ve birliklerini ayırarak toplama ve çıkarma yapılabilir.","Kolay toplanan sayılar (örneğin 67+33=100) veya onar onar ekleyerek toplama ve çıkarma yapılabilir."]},"beginTime":2020,"endTime":2182,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2020&ask_summarization=1"},{"index":18,"title":"Çarpma İşlemi","list":{"type":"unordered","items":["Çarpma işleminde birinci çarpan, ikinci çarpan ve çarpım adı verilen üç kısım vardır."]},"beginTime":2182,"endTime":2202,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2182&ask_summarization=1"},{"index":19,"title":"Çarpma İşlemi","list":{"type":"unordered","items":["Çarpma işlemini yapabilmek için çarp tablosunu çok iyi bilmek gerekir.","Çarpma işleminde bilinmeyenleri bulmak için, çarpım sonucunu kullanarak bilinmeyen değerleri hesaplayabiliriz.","Onlukların kuvvetlerini kullanarak çarpma işlemi yaparken, sayının yanına sıfır ekleyerek işlemi kolaylaştırabiliriz."]},"beginTime":2204,"endTime":2373,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2204&ask_summarization=1"},{"index":20,"title":"Çarpma İşleminde Kısa Yöntemler","list":{"type":"unordered","items":["9 ile çarpma işleminde, sayıyı önce 10 ile çarpıp sonra yarısını alarak kısa yoldan sonuç bulunabilir.","5 ile çarpma işleminde, sayıyı önce 10 ile çarpıp sonra yarısını alarak kısa yoldan sonuç bulunabilir.","Çarpma işlemlerinde, bölünen sayı, bölen sayı, bölüm ve kalan kavramları vardır."]},"beginTime":2373,"endTime":2485,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2373&ask_summarization=1"},{"index":21,"title":"Bölme İşlemi","list":{"type":"unordered","items":["Bölme işleminde, bölen sayısı kalan sayıdan küçük olmalıdır, aksi takdirde bölme işlemine devam etmek gerekir.","Bölünen sayı, bölen sayı ile bölümün çarpımı artı kalanın eklenmesiyle bulunabilir.","Bölme işleminde, sıfırlardan birini atarak ve sonucu yanına sıfır ekleyerek kısa yoldan işlem yapılabilir."]},"beginTime":2485,"endTime":2592,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2485&ask_summarization=1"},{"index":22,"title":"Üslü İfadeler","list":{"type":"unordered","items":["Bir sayının karesi, o sayının kendisiyle çarpılmasıdır (örneğin 5² = 5×5).","Bir sayının küpü, o sayının kendisiyle iki kez çarpılmasıdır (örneğin 4³ = 4×4×4).","Üslü ifadelerde, üstteki sayı tabanın kendiyle kaç defa çarpılacağını gösterir."]},"beginTime":2592,"endTime":2749,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2592&ask_summarization=1"},{"index":23,"title":"İşlem Önceliği","list":{"type":"unordered","items":["İşlem önceliği, matematikte işlemlerin doğru sırayla yapılmasını sağlayan bir kuraldır.","İşlem önceliği sırası: önce üslü sayılar, sonra parantezli işlemler, ardından çarpma-bölme ve en son toplama-çıkarma yapılır.","Çarpma ve bölme aynı anda varsa, işlem soldan sağa doğru yapılır."]},"beginTime":2756,"endTime":2856,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2756&ask_summarization=1"},{"index":24,"title":"Kesirler","list":{"type":"unordered","items":["Birim kesir, payı bir olan kesirlere denir (örneğin 1/2, 1/6, 1/9).","Birim kesirler sayı doğrusunda gösterildiğinde, paydası küçük olan kesirler daha büyüktür.","Kesir çeşitleri üçtür: basit kesirler (payı paydasından küçük olanlar), bileşik kesirler (payı paydasına eşit veya büyük olanlar) ve tam sayılı kesirler (tam sayı ve basit kesir birleşimi)."]},"beginTime":2856,"endTime":3025,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=2856&ask_summarization=1"},{"index":25,"title":"Denk Kesirler ve Sıralama","list":{"type":"unordered","items":["Denk kesirler, belirttiği çokluk bakımından eşit olan kesirlere denir (örneğin 1/2, 2/4, 4/8).","Kesirlerde sıralama: paydalar eşit ise payı büyük olan daha büyüktür, paydası küçük olan daha büyüktür.","Paydalar eşit değilse, pay ve paydaları eşitleyerek sıralama yapılır."]},"beginTime":3025,"endTime":3201,"href":"/video/preview/13966848639065209878?parent-reqid=1769624441941110-17625796140610839120-balancer-l7leveler-kubr-yp-vla-167-BAL&text=5tephD&t=3025&ask_summarization=1"},{"index":26,"title":"Kesirlerde Toplama ve Çıkarma","list":{"type":"unordered","items":["Paydalar eşitse, kesirlerde toplama ve çıkarma işlemi normal şekilde yapılır.","Paydalar eşit değilse, önce paydaları eşitlemek gerekir.","Tam sayılı kesirlerde işlem yaparken, tam kısım sabit kalır ve sadece kesir kısmı işlem 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