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Sınıf Matematik Çarpanlar-Katlar Konu Anlatımı #Yeni Müfredat 2018-2019 Bir Doğal Sayının Çarpanları Her doğal sayı kendisi ile 1’in çarpımı şeklinde yazılabileceğinden en az iki doğal sayının...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4321692/9360a1482cc5efa3c8972a420de65626/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HPp6cAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=videoid:14038235021093191206","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin 8. sınıf öğrencilerine çarpanlar ve katlar konusunu anlattığı eğitim içeriğidir.","Videoda öncelikle çarpanların tanımı ve özellikleri açıklanmakta, ardından bir sayının çarpanlarını bulmanın ikili çarpma ve çarpan ağacı yöntemleri gösterilmektedir. Daha sonra dikdörtgensel bölgenin çevre uzunluğunu hesaplama, doğal sayıların katlarını bulma ve katların özelliklerini kontrol etme gibi konular örneklerle pekiştirilmektedir.","Video, öğrencilere ödev sorusu verilerek sona ermektedir ve dikdörtgensel bölgenin alanı verildiğinde çevre uzunluğunun alabileceği değerleri bulma problemi gibi pratik uygulamalar da içermektedir."]},"endTime":854,"title":"8. Sınıf Matematik: Çarpanlar ve Katlar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Çarpanlar Kavramı","list":{"type":"unordered","items":["Çarpanlar ve katlar konusu özellikle 8. sınıfta öğrenilen temel bir konudur.","Tüm doğal sayılar iki doğal sayının çarpılmasıyla elde edilebilir ve bu iki doğal sayının her birine o sayının çarpanı denir.","Çarpanın diğer bir adı tam bölen veya kalansız bölen'dir."]},"beginTime":0,"endTime":52,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=0&ask_summarization=1"},{"index":1,"title":"Çarpanların Bulunması","list":{"type":"unordered","items":["Dikdörtgen alanları kullanarak çarpanları bulmak mümkündür; örneğin 12 birim kare alanını 1x12, 2x6 veya 3x4 şeklinde bulabiliriz.","İkili çarpma yöntemi kullanarak çarpanları bulabiliriz: sıralı olarak bir sayı neyle çarpıldığında hedef sayı elde edilir.","Bir ve sayının kendisi her zaman sayının çarpanlarıdır; en küçük çarpanı bir, en büyük çarpanı kendisidir."]},"beginTime":52,"endTime":171,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=52&ask_summarization=1"},{"index":2,"title":"Çarpan Ağacı Yöntemi","list":{"type":"unordered","items":["Çarpan ağacı yöntemiyle çarpanları bulmak için sayıyı küçük bir sayı ile bölmeye başlayıp, sonuçları tekrar böleriz.","Çarpan ağacı yöntemiyle 12'nin çarpanları 1, 2, 3, 4, 6 ve 12 olarak bulunur.","Çarpan ağacı yöntemi, ikili çarpma yönteminin yanı sıra çarpanları bulmanın başka bir yolu olarak kullanılır."]},"beginTime":171,"endTime":237,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=171&ask_summarization=1"},{"index":3,"title":"Çarpan Örnekleri","list":{"type":"unordered","items":["13 sayısının doğal sayı çarpanları sadece 1 ve 13'tür, toplam iki çarpanı vardır.","48'in çarpanları 1, 2, 3, 4, 6, 8, 12, 16, 24 ve 48'dir.","110'un çarpanları 1, 2, 5, 10, 11, 22, 55 ve 110'dur."]},"beginTime":237,"endTime":418,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=237&ask_summarization=1"},{"index":4,"title":"Çarpanlar ve Dikdörtgen Alanı","list":{"type":"unordered","items":["Kenar uzunlukları doğal sayı olan dikdörtgensel bölgenin alanı 78 santimetrekare olduğunda, kenar uzunlukları 1x78, 2x39, 3x26 ve 6x13 olabilir.","Çevre uzunluğunu bulmak için kısa ve uzun kenarları toplayıp iki ile çarpılır."]},"beginTime":418,"endTime":558,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=418&ask_summarization=1"},{"index":5,"title":"Çevre Hesaplama ve Dikdörtgen Alanı","list":{"type":"unordered","items":["Dikdörtgensel bölgenin alanını hesaplamak için kısa ve uzun kenarları çarpılır, örneğin 78 cm².","Dikdörtgenin çevresini hesaplamak için kenar uzunlukları 2 ile çarpılır.","Dikdörtgensel bölgenin alanını vermek, 78'in tam bölenlerini bulmayı gerektirir."]},"beginTime":564,"endTime":654,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=564&ask_summarization=1"},{"index":6,"title":"Kat Kavramı ve Örnekler","list":{"type":"unordered","items":["Bir doğal sayıyı başka bir doğal sayı ile çarparak elde edilen sonuç, ilk sayının katıdır.","17'nin 90'dan küçük katları: 17, 34, 51, 68 ve 85'tir.","Bir sayının katı olup olmadığını anlamak için, o sayıya bölünmesi gerekir; kalansız bölünüyorsa katıdır."]},"beginTime":654,"endTime":721,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=654&ask_summarization=1"},{"index":7,"title":"Kat Problemleri","list":{"type":"unordered","items":["23'ün üç basamaklı en küçük katı 115'tir.","Bir sayının kalansız böldüğü sayılar, o sayının katlarıdır.","266 sayısı 19'un katıdır çünkü 266, 19'a kalansız bölünür ve 19'un 14. katıdır."]},"beginTime":721,"endTime":853,"href":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=721&ask_summarization=1"}],"linkTemplate":"/video/preview/14038235021093191206?parent-reqid=1769328439666602-10403246258778007177-balancer-l7leveler-kubr-yp-klg-144-BAL&text=InfinityZ06&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Çarpanlar-Katlar Konu Anlatımı 6. 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