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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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&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 görür."]},"beginTime":3201,"endTime":3255,"href":"/video/preview/13966848639065209878?parent-reqid=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&t=3201&ask_summarization=1"},{"index":27,"title":"Kesir Problemleri","list":{"type":"unordered","items":["Kesirlerde bütünden parçaya ve parçadan bütüne geçiş yapılabilir.","80'in 2/5'i hesaplanırken, 80'i 5 parçaya bölüp her parçanın 16 olduğunu bulup, 2 ile çarparak 32 sonucuna ulaşılır.","Tonguç'un 600 TL'sinin 5/12'sini harcaması durumunda, 600 TL'yi 12 parçaya bölüp her parçanın 50 olduğunu bulup, 5 ile çarparak 250 TL harcadığını ve 350 TL kaldığını hesaplayabiliriz."]},"beginTime":3260,"endTime":3345,"href":"/video/preview/13966848639065209878?parent-reqid=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&t=3260&ask_summarization=1"},{"index":28,"title":"Parçadan Bütün Hesaplama","list":{"type":"unordered","items":["7 kutucuğun 2/7'si 18 ise, 1 kutunun 9 olduğunu bulup, toplam 7 kutunun 63 olduğunu hesaplayabiliriz.","Pratik çözüm için 18'i paya bölüp payda ile çarpabiliriz.","Bir fabrikadaki havluların 4/7'si 240 tanedir, bu durumda 240'ı 4'e bölüp 60 havlu olduğunu bulup, 7 ile çarparak 420 havluya ulaşırız."]},"beginTime":3345,"endTime":3457,"href":"/video/preview/13966848639065209878?parent-reqid=1769421585642808-3503673050065715410-balancer-l7leveler-kubr-yp-klg-228-BAL&text=5STARJK&t=3345&ask_summarization=1"},{"index":29,"title":"Kesir Problemi Örneği","list":{"type":"unordered","items":["Tonguç'un gideceği yolun 2 1/3 kilometresini ve 1 1/6 kilometresini gitmesi durumunda, toplam 3 3/6 kilometre gitmiş olur.","Toplam 5 kilometre gitmesi için 5'ten 3 3/6'ı çıkartarak 9/6 kilometre daha gitmesi gerektiğini 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