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Öğretmen, öğrencilere teorik bilgiler vererek konuyu adım adım açıklamaktadır.","Video, pozitif ve negatif sayıların tanımı ile başlayıp, işaret tayini, toplama-çıkarma ve çarpma-bölme işlemlerindeki kuralları detaylı şekilde ele almaktadır. Öğretmen, ÖSYM'nin sorduğu örnek sorular üzerinden konuyu pekiştirmekte ve öğrencilerin videoyu durdurarak kendi çözümlerini deneyebilmesi için fırsatlar sunmaktadır.","Videoda ayrıca tam sayılar, doğal sayılar, üslü ifadeler, sayı doğrusu üzerinde rakam karşılaştırma ve değişkenlerin işaretlerini belirleme gibi konular da örneklerle açıklanmaktadır. Özellikle çarpma-bölme işlemlerinde işaretlerin aynı olduğu zaman sonuç pozitif, farklı olduğu zaman sonuç negatif olduğu; toplama-çıkarma işlemlerinde ise işaretler aynı olduğu zaman sayılar toplanır, farklı olduğu zaman büyük sayıdan küçük sayı çıkarılıp büyük sayının işareti yazıldığı vurgulanmaktadır."]},"endTime":1905,"title":"Pozitif ve Negatif Sayılar Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Pozitif ve Negatif Sayılar","list":{"type":"unordered","items":["Pozitif sayılar sıfırdan büyük olan sayılar olup, negatif sayılar sıfırdan küçük olan sayılardır.","İşaret tayini önemli olup, çarpma ve bölme işlemlerinde işaretler aynı ise sonuç artı, işaretler farklı ise sonuç eksi olur.","Toplama çıkarma işlemlerinde işaretler aynı ise sayılar toplanır ve ortak işaret yazılır, işaretler farklı ise sayılar birbirinden çıkarılır ve büyük olanın işareti yazılır."]},"beginTime":15,"endTime":258,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=15&ask_summarization=1"},{"index":1,"title":"Örnek Sorular ve Çözümler","list":{"type":"unordered","items":["İki sayının çarpımı sıfırdan küçük olması için sayıların kesinlikle ters işaretli olması gerekir (bir artı bir eksi).","Tam sayılar eksi sonsuzdan artı sonsuza kadar olan sayıları kapsar.","İşaret tayini yapıldıktan sonra, hangisinin en büyük olduğu belirlenirken sayı doğrusu kullanılarak değerler verilir."]},"beginTime":258,"endTime":701,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=258&ask_summarization=1"},{"index":2,"title":"Sayı İşlemleri ve İşaretler","list":{"type":"unordered","items":["a sıfırdan küçük olduğunda, a×b kesinlikle negatif bir sayıdır.","c×b/a×c ifadesi kesinlikle sıfırdır çünkü c sıfırdır.","a×b×c ifadesi kesinlikle negatif bir sayıdır çünkü eksi×artı×eksi sonucu eksi olur."]},"beginTime":712,"endTime":840,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=712&ask_summarization=1"},{"index":3,"title":"Sayı İşaretleri ve Özellikleri","list":{"type":"unordered","items":["p pozitif bir sayı olduğunda, a/p sıfırdan küçük olması için a kesinlikle negatif bir sayı olmalıdır.","a×b×c×d ifadesinde, b×c sıfırdan büyük olduğunda, b ve c ikisi de eksi veya ikisi de artı olabilir.","a²×b sıfırdan küçük olması için b kesinlikle negatif olmalıdır çünkü a² her zaman pozitiftir."]},"beginTime":840,"endTime":1054,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=840&ask_summarization=1"},{"index":4,"title":"İşaret Kuralları ve Uygulamaları","list":{"type":"unordered","items":["a-b×c×d ifadesinde, a-b×c×d her zaman negatif olur çünkü büyük olan eksi işaretini alır.","a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j×k×l×m×n×o×p×q×r×s×t×u×v×w×x×y×z×a×b×c×d×e×f×g×h×i×j"]},"beginTime":1054,"endTime":1278,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=1054&ask_summarization=1"},{"index":5,"title":"İşaret Belirleme Problemleri","list":{"type":"unordered","items":["a, b, c ve k tam sayılar olmak üzere, a\u003c0, b>0, c>0 ve k>35 olduğunda, verilen ifadelerin işaretleri belirleniyor.","a²-1, b+1 ve c+1 ifadeleri pozitif olur çünkü a² her zaman pozitif, b ve c zaten pozitif.","(c+1)-(a+1) ifadesi pozitif olur çünkü c>a olduğundan c+1>a+1."]},"beginTime":1281,"endTime":1477,"href":"/video/preview/13169218479455572515?parent-reqid=1765356136510199-15794081792403941728-balancer-l7leveler-kubr-yp-vla-11-BAL&text=Pozitif+Ar%C5%9Fiv&t=1281&ask_summarization=1"},{"index":6,"title":"Tam Sayı Problemleri","list":{"type":"unordered","items":["x, y, z birer tam sayı olmak üzere, x²\u003c0 koşulunu sağlayan x değeri negatif olmalıdır çünkü x² her zaman pozitif.","y³z>0 koşulunu sağlayan y değeri negatif olmalıdır çünkü z negatif olduğunda y³ negatif olmalı.","x⁵-y⁷\u003c0 koşulunu sağlayan x değeri pozitif olmalıdır çünkü y⁷ negatif olduğunda x⁵ negatif 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