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Eğitmen, öğrencilere çeşitli matematik problemlerini adım adım çözerek anlatmaktadır.","Videoda yüzde problemleri, oran-orantı problemleri, fiyat hesaplamaları, kar-zarar durumları, yaş ortalamaları ve indirim hesaplamaları gibi çeşitli matematik konuları ele alınmaktadır. Eğitmen, toplam yedi farklı örnek üzerinden problemleri çözmekte, denklemleri kurmakta ve sonuçları açıklamaktadır.","Video, sayıların yüzde farkları, karenin alanı, toplulukların yüzde dağılımı, buğday-kek üretim hesaplamaları, dosya kopyalama hızları, para borçları, daire fiyatları ve grip salgını sırasında öğrencilerin sağlık durumlarını hesaplama gibi günlük hayattan uygulamalı soruları içermektedir. Video, karışım problemlerinde görüşmek üzere sona ermektedir."]},"endTime":1521,"title":"Matematik Problemleri Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Yüzde Problemleri Örnekleri","list":{"type":"unordered","items":["Kampın problemler kısmında yüzde problemlerine devam ediliyor.","Bir sayının yüzde yetmişiki'si ile yüzde altmışyedi'si arasındaki fark onbir ise, sayının yüzde otuzbeş'i yetmişyedi'dir.","Bir karenin kenar uzunluklarının her biri yüzde otuz oranında artarsa alanı yüzde altmışdokuz artar."]},"beginTime":0,"endTime":112,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=0&ask_summarization=1"},{"index":1,"title":"Topluluk Problemi","list":{"type":"unordered","items":["Seksen kişilik bir topluluğun yüzde altmış'ı kadındır, bu durumda toplulukta kırksekiz kadın ve otuziki erkek vardır.","Erkek sayısı kadın sayısından onaltı azdır."]},"beginTime":112,"endTime":182,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=112&ask_summarization=1"},{"index":2,"title":"Buğday ve Kek Problemi","list":{"type":"unordered","items":["Buğdaydan ağırlığının yüzde yirmi'si kadar un, undan da ağırlığının yüzde üçyüzotuz'u kadar kek yapılabiliyor.","İkivirgülotuzbir kilogram kek yapabilmek için üçvirgülelli kilogram buğday gereklidir."]},"beginTime":182,"endTime":282,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=182&ask_summarization=1"},{"index":3,"title":"Bilgisayar Kopyalama Problemi","list":{"type":"unordered","items":["Bir bilgisayarın A sürücüsünden B sürücüsüne kopyalanan dosyanın kopyalama süresi, internet tarayıcısı açıldığında yarıya düşmektedir.","Kopyalama sürecinin başından bilgi ekranında gösterilen görüntü oluşana kadar sadece kopyalama işlemi yapılmış, sonra onaltı dakika boyunca internet tarayıcısı çalışılmıştır.","Tarayıcı kapatıldığı anda dosyanın yüzde yetmişaltı'lık kısmı kopyalanmıştır."]},"beginTime":282,"endTime":442,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=282&ask_summarization=1"},{"index":4,"title":"Alacak-Verecek Problemi","list":{"type":"unordered","items":["Akif, cebindeki paranın yüzde kırk'ı kadarını Buğra'ya, Buğra cebindeki paranın yüzde on'u kadarını Didem'e, Didem de Akif'e cebindeki paranın yüzde yirmibeş'i kadarını borçludur.","Herkes bu borçlarının birbirine ödedikten sonra Buğra ve Didem'in cebindeki para miktarı değişmemiştir.","Akif'in cebindeki paranın değişimi yüzde sıfırdır."]},"beginTime":442,"endTime":589,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=442&ask_summarization=1"},{"index":5,"title":"Ürün Fiyatı Problemi","list":{"type":"unordered","items":["Bir ürüne etiket fiyatı üzerinden birinci gün yüzde yirmi zam, ikinci gün yüzde otuz ve üçüncü gün yüzde yirmi indirim yapılmıştır.","Son durumda ürünün etiket fiyatı altıyüzyirmidört lira olduğuna göre, ikinci zam uygulanmadan hemen önce ürünün etiket fiyatı sorulmaktadır."]},"beginTime":589,"endTime":604,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=589&ask_summarization=1"},{"index":6,"title":"Fiyat Değişim Problemi","list":{"type":"unordered","items":["Bir ürünün fiyatı x olsun, önce %20 zam uygulandıktan sonra %30 zam uygulanmış ve son olarak %20 indirim yapılmış.","Son durumda ürünün fiyatı 624 TL olduğuna göre, ikinci zam uygulanmadan hemen önceki fiyat 600 TL'dir."]},"beginTime":615,"endTime":706,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=615&ask_summarization=1"},{"index":7,"title":"Yayınevi Kar-Zarar Problemi","list":{"type":"unordered","items":["Bir yayınevinin deposundaki kitapların 2/5'i %20 karla, 1/3'ü %10 karla, kalanın 1/3'ü %10 karla ve geriye kalanlar %30 zararla satılmıştır.","Yayınevinin tüm kitaplardaki kar-zarar durumu %2 zararlıdır."]},"beginTime":706,"endTime":854,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=706&ask_summarization=1"},{"index":8,"title":"Firma Maliyet Problemi","list":{"type":"unordered","items":["Bir firma x liraya aldığı, xd ürettiği bir ürünü y liraya satıyor ve 13x - 8y = 78 bağıntısı vardır.","Firma bu ürünlerden %30 kar elde etmek istiyorsa, ürünlerin üretim maliyeti 30 lira olmalıdır."]},"beginTime":854,"endTime":966,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=854&ask_summarization=1"},{"index":9,"title":"Yaş Ortalaması Problemi","list":{"type":"unordered","items":["Bir gruptan Elif ayrıldığında grubun yaş ortalaması %10 oranında artıyor ve Elif'in yaşı grubun yaş ortalamasının %70'ine eşitse.","Elif ayrıldıktan sonra grup 3 kişi kalmıştır."]},"beginTime":966,"endTime":1149,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=966&ask_summarization=1"},{"index":10,"title":"Konut Fiyatları Problemi","list":{"type":"unordered","items":["Göksu Konutlarındaki bir dairenin fiyatı Mogan Konutlarındaki bir dairenin fiyatından %50 fazladır.","Semih Göksu Konutlarından bir daire almış, Ceren de Mogan Konutlarından bir daire satın almış ve Semih'in ödediği tutar Ceren'in ödediği tutardan 180 bin lira fazladır."]},"beginTime":1149,"endTime":1273,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1149&ask_summarization=1"},{"index":11,"title":"Matematik Problemi Çözümü","list":{"type":"unordered","items":["Bir matematik problemi çözülürken, 18'e bölme işlemi yapılarak k değeri 5000 olarak bulunur.","İki kişinin aldıkları dairelerin fiyatları toplamı 156k olarak hesaplanır ve k değeri 5000 lira olduğundan, toplam 780 bin TL'ye daire alınmış olur.","Göksu civarından konut almanın zor olduğu, aylık 30-40 bin lira kredi ödemesi gerektiği belirtilir."]},"beginTime":1284,"endTime":1392,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1284&ask_summarization=1"},{"index":12,"title":"Grip Salgını Problemi","list":{"type":"unordered","items":["Bir okulda grip salgını başlamış, ilk hafta öğrencilerin %20'si (20k) hastalanmış, %80'i (80k) sağlıklı kalmıştır.","Bir sonraki hafta hasta öğrencilerin %40'ı (8k) iyileşmiş, 12k hala hasta kalmıştır.","Hastalanmayan öğrencilerin %30'u (24k) hastalanmış, 56k hala sağlıklı kalmıştır.","İkinci haftada okuldaki sağlıklı öğrencilerin sayısının okul mevcuduna oranı 16/25 olarak hesaplanmıştır."]},"beginTime":1392,"endTime":1501,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1392&ask_summarization=1"},{"index":13,"title":"Video Kapanışı","list":{"type":"unordered","items":["133. sayfada bulunan 12. soru çözülmüş ve konu noktalanmıştır.","Bir sonraki videoda karışım problemlerinde görüşüleceği belirtilmiştir.","İzleyicilere bol bol matematik çalışması tavsiye edilmiştir."]},"beginTime":1501,"endTime":1515,"href":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1501&ask_summarization=1"}],"linkTemplate":"/video/preview/5266861742703487456?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"TYT Matematik 2023 | Yüzde Problemleri | 6. 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Öğretmen, rasyonel sayılar konusunu detaylı şekilde anlatmaktadır.","Videoda rasyonel sayılarla ilgili temel işlemler (toplama, çıkarma, çarpma ve bölme) adım adım açıklanmaktadır. İlk olarak toplama ve çıkarma işlemleri, ardından çarpma ve bölme işlemlerinin özellikleri (değişme, birleşme, etkisiz eleman, ters eleman, dağılma) örneklerle gösterilmektedir. Video, 7. sınıf öğrencilerinin rasyonel sayılar konusunu daha iyi anlamalarına yardımcı olacak temel bilgileri içermektedir.","Videoda ayrıca rasyonel sayıların günlük hayattan örneklerle açıklanması, tam sayılı kesirlerin bileşik kesirlere dönüştürülmesi ve sadeleştirme işlemleri de işlenmektedir. Video sonunda 7. sınıf öğrencilerine LGS hazırlığı için planlı çalışma önemi vurgulanarak Partikül Matematik tarafından hazırlanan planlama defterinin özellikleri tanıtılmaktadır."]},"endTime":1686,"title":"7. Sınıf Rasyonel Sayılar Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayılarda İşlemler","list":{"type":"unordered","items":["Melih hocanın 7. sınıf öğrencileri için rasyonel sayılarda toplama, çıkarma, çarpma ve bölme işlemleri konusunu anlatacağı belirtiliyor.","Milli Eğitim'de köklü değişiklikler olduğu için konuları adım adım halletmek gerekiyor.","Rasyonel sayılar konusunun önemli olduğu vurgulanıyor."]},"beginTime":0,"endTime":138,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=0&ask_summarization=1"},{"index":1,"title":"Rasyonel Sayılarda Toplama ve Çıkarma","list":{"type":"unordered","items":["Rasyonel sayılarda toplama ve çıkarma yaparken önce paydaları eşitlemek gerekiyor.","Paydalar eşitlendikten sonra paylarla toplama veya çıkarma yapılır, payda değişmez.","Matematikte \"fazla kurcalarsan bozarsın\" atasözü hatırlatılıyor ve en son sadeleştirmeler yapılması öneriliyor."]},"beginTime":138,"endTime":204,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=138&ask_summarization=1"},{"index":2,"title":"Örneklerle Toplama ve Çıkarma","list":{"type":"unordered","items":["2/5 + 1/5 örneğinde paydalar eşit olduğu için sonuç 3/5 olur.","6/11 + 3/11 örneğinde paydalar eşit olduğu için sonuç 9/11 olur.","5/3 + 2 örneğinde doğal sayı ile rasyonel sayı toplanırken \"çarp topla\" taktiği kullanılır: 3×5=15, 15+2=17, sonuç 17/5 olur."]},"beginTime":204,"endTime":319,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=204&ask_summarization=1"},{"index":3,"title":"Negatif Rasyonel Sayılarla İşlemler","list":{"type":"unordered","items":["Negatif rasyonel sayılarla işlem yaparken de önce paydaları eşitlemek gerekiyor.","-9/3 - 8/8 örneğinde paydalar eşitlendikten sonra -9+8=-1, sonuç -1/8 olur.","13/13 - 8/13 örneğinde paydalar eşitlendikten sonra 13-8=5, sonuç 5/13 olur."]},"beginTime":319,"endTime":410,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=319&ask_summarization=1"},{"index":4,"title":"Rasyonel Sayılarla Çıkarma İşlemi","list":{"type":"unordered","items":["Paydaları eşit olan rasyonel sayılarla çıkarma işlemi yapılırken, paylar arasında çıkarma yapılır ve payda aynı kalır.","Çıkarma işlemi bilinmediğinde, \"change\" (değişiklik) yöntemi kullanılır: çıkarma işlemi içeriye toplanır ve dışarıya artı işareti konulur.","Eksinin artıya bölümü eksi olduğundan, çıkarma işleminde eksi işareti unutulmamalıdır."]},"beginTime":415,"endTime":503,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=415&ask_summarization=1"},{"index":5,"title":"Tam Sayılı Kesirlerle İşlemler","list":{"type":"unordered","items":["Tam sayılı kesirlerde çıkarma işlemi görüldüğünde, eksi eksi yan yana gelince toplama işlemine dönüşür.","Tam sayılı kesirler bileşiğe çevrilerek toplama işlemi yapılabilir.","Paydalar eşitlendikten sonra, paylar arasında çıkarma yapılır ve payda aynı kalır."]},"beginTime":503,"endTime":653,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=503&ask_summarization=1"},{"index":6,"title":"Toplama İşleminin Özellikleri","list":{"type":"unordered","items":["Toplama işleminin değişme özelliği vardır: 2/5 + 1/2 = 1/2 + 2/5 şeklinde yer değiştirilebilir.","Paydalar eşitlendikten sonra, paylar arasında toplama yapılır ve payda aynı kalır."]},"beginTime":653,"endTime":702,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=653&ask_summarization=1"},{"index":7,"title":"Rasyonel Sayıların Toplama Özellikleri","list":{"type":"unordered","items":["Birleşme özelliği, üç rasyonel sayı birleştirilerek toplandığında sonuç değişmez.","Etkisiz eleman olarak sıfır kullanılır, çünkü herhangi bir rasyonel sayı ile sıfır toplandığında sonuç o sayıdır.","Ters eleman, toplamları sıfır olan iki rasyonel sayıdır; örneğin 3/5'in tersi -3/5'tir."]},"beginTime":706,"endTime":785,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=706&ask_summarization=1"},{"index":8,"title":"Çıkarma İşlemi","list":{"type":"unordered","items":["Çıkarma işlemi, toplama işleminin tersi olarak düşünülebilir.","Çıkarma yaparken, verilen sayıdan çıkarılacak sayı çıkarılır.","Eksili sayılar işlem yapılırken, eksi işaretiyle birlikte alınmalıdır."]},"beginTime":785,"endTime":981,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=785&ask_summarization=1"},{"index":9,"title":"Çarpma İşlemi","list":{"type":"unordered","items":["Çarpma işlemi, toplama ve çıkarma gibi basit bir işlemdir.","Tam sayılı kesirler çarpılırken önce bileşik kesre çevrilir.","Çarpma işleminde paylar paylarla, paydalar paydalarla çarpılır ve sadeleştirme yapılır."]},"beginTime":981,"endTime":1184,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=981&ask_summarization=1"},{"index":10,"title":"Çarpmanın Özellikleri","list":{"type":"unordered","items":["Çarpmanın değişme özelliği vardır, yani çarpım sırası değiştirilebilir.","Çarpmanın birleşme özelliği vardır, yani dışarıda kalan sayı içeriye alınabilir.","Çarpmanın etkisiz elemanı bir'dir, yutan elemanı sıfırdır ve ters elemanı ters çevrilmesidir.","Çarpmanın dağılma özelliği vardır, yani çarpma işlemi toplama veya çıkarma işlemi üzerine dağılabilir."]},"beginTime":1184,"endTime":1297,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1184&ask_summarization=1"},{"index":11,"title":"Bölme İşlemi","list":{"type":"unordered","items":["Bölme işleminde \"birinci kesri aynen yaz, ikinci kesri ters çevir, çarp\" kuralı uygulanır.","Bölme işlemi aslında çarpma işleminin tersidir.","Tam sayılı kesirler bölünürken önce bileşik kesre çevrilir."]},"beginTime":1297,"endTime":1463,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1297&ask_summarization=1"},{"index":12,"title":"Matematik Problemi Çözümü","list":{"type":"unordered","items":["Bir bölme işlemi çözülüyor: 7 ÷ 1 = 7 ve 2 ÷ 1 = 2, sonra 7 × 2 = 14 bulunuyor.","14 × 1/14 işleminde 14'ler sadeleşerek cevap 1 olarak bulunuyor.","Sadeleşme işlemi, 14/14 = 1 şeklinde de düşünülebilir."]},"beginTime":1468,"endTime":1529,"href":"/video/preview/9771097078393922743?parent-reqid=1765299933317462-99304589768170625-balancer-l7leveler-kubr-yp-sas-61-BAL&text=Mathsey+Matematik+Robotu&t=1468&ask_summarization=1"},{"index":13,"title":"Partikül LGS Defteri Tanıtımı","list":{"type":"unordered","items":["Partikül Matematik, 7. sınıf öğrencileri için planlama yapabilecekleri, deneme taktikleri içeren ve rehberlik yazıları bulunan bir LGS defteri hazırlamış.","Defterin 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