Tam sayı problemleri gerçek hayatta sürekli karşılaştığımız durumlar! Asansörde kat... Show more
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Updated Apr 6, 2026
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Tam Sayılar Konusu Anlatımı ve Alıştırmalar
💗🌸JISOO🌸💗
@imamahmid
Tam Sayı Problemleri - Temel Örnekler
Günlük yaşamda tam sayılarla işlem yapmamız gereken durumlar her zaman karşımıza çıkar. Asansörde kat hesabı yaparken, hava durumu takip ederken ya da harçlık hesaplarken bu becerileri kullanıyoruz.
Kat ve seviye problemleri en yaygın örneklerdendir. Bir alışveriş merkezinde 3. kattan 5 kat aşağı indiğimizde -2. kata (bodrum katına) geliriz. Dalgıç problemlerinde de aynı mantık işler - deniz seviyesini sıfır kabul ederek yukarı (+), aşağı (-) hesaplarız.
Sıcaklık problemleri de benzer şekilde çözülür. -5°C olan buzun 4°C daha soğutulması durumunda toplam -9°C'ye düşer. Her saat 3°C azalan bir ürünün 6 saat sonra ne kadar soğuyacağını hesaplamak için çarpma işlemi kullanırız.
İpucu: Problem çözerken hangi durumların pozitif (+), hangilerinin negatif (-) olduğunu belirlemek çözümün yarısını halleder!
İleri Düzey Tam Sayı Problemleri
Bu seviyede karmaşık hesaplamalar ve çok adımlı çözümler yapman gerekiyor. Artık sadece toplama-çıkarma değil, çarpma-bölme işlemleri de devreye giriyor.
Extremum değer problemleri sınav favorileridir. İki basamaklı en küçük tam sayı (-99) ile üç basamaklı rakamları farklı en küçük pozitif tam sayı (102) gibi özel durumları hatırlamak önemli. Bu tür problemlerde dikkatli okuma kritik!
Zaman-değişim problemleri günlük yaşamla çok bağlantılı. Her gün belirli miktarda para alan ve harcayan birinin kaç gün sonra ne kadar parası olacağını hesaplarken, düzenli değişimleri takip etmeyi öğreniyoruz.
Birden fazla koşullu problemler en zorlu kısmı oluşturur. Minibüsteki yolcu sayısının durak durak değişmesi ya da oda sıcaklığının belirli aralıklarla artması gibi durumları adım adım takip etmek başarının anahtarıdır.
Önemli: Bu problemlerde aceleci olmamak ve her adımı dikkatli yapmak, yanlış hesap riskini minimuma indirir!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content: Real-world Problems
Most popular content in Matematik
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Tam Sayılar Konusu Anlatımı ve Alıştırmalar
💗🌸JISOO🌸💗
@imamahmid
Tam sayı problemleri gerçek hayatta sürekli karşılaştığımız durumlar! Asansörde kat hesabı, sıcaklık değişimleri, para hesapları - bunların hepsi matematik problemlerine dönüştürülebilir ve çözüm yolları vardır.
Tam Sayı Problemleri - Temel Örnekler
Günlük yaşamda tam sayılarla işlem yapmamız gereken durumlar her zaman karşımıza çıkar. Asansörde kat hesabı yaparken, hava durumu takip ederken ya da harçlık hesaplarken bu becerileri kullanıyoruz.
Kat ve seviye problemleri en yaygın örneklerdendir. Bir alışveriş merkezinde 3. kattan 5 kat aşağı indiğimizde -2. kata (bodrum katına) geliriz. Dalgıç problemlerinde de aynı mantık işler - deniz seviyesini sıfır kabul ederek yukarı (+), aşağı (-) hesaplarız.
Sıcaklık problemleri de benzer şekilde çözülür. -5°C olan buzun 4°C daha soğutulması durumunda toplam -9°C'ye düşer. Her saat 3°C azalan bir ürünün 6 saat sonra ne kadar soğuyacağını hesaplamak için çarpma işlemi kullanırız.
İpucu: Problem çözerken hangi durumların pozitif (+), hangilerinin negatif (-) olduğunu belirlemek çözümün yarısını halleder!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
İleri Düzey Tam Sayı Problemleri
Bu seviyede karmaşık hesaplamalar ve çok adımlı çözümler yapman gerekiyor. Artık sadece toplama-çıkarma değil, çarpma-bölme işlemleri de devreye giriyor.
Extremum değer problemleri sınav favorileridir. İki basamaklı en küçük tam sayı (-99) ile üç basamaklı rakamları farklı en küçük pozitif tam sayı (102) gibi özel durumları hatırlamak önemli. Bu tür problemlerde dikkatli okuma kritik!
Zaman-değişim problemleri günlük yaşamla çok bağlantılı. Her gün belirli miktarda para alan ve harcayan birinin kaç gün sonra ne kadar parası olacağını hesaplarken, düzenli değişimleri takip etmeyi öğreniyoruz.
Birden fazla koşullu problemler en zorlu kısmı oluşturur. Minibüsteki yolcu sayısının durak durak değişmesi ya da oda sıcaklığının belirli aralıklarla artması gibi durumları adım adım takip etmek başarının anahtarıdır.
Önemli: Bu problemlerde aceleci olmamak ve her adımı dikkatli yapmak, yanlış hesap riskini minimuma indirir!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Most popular content: Real-world Problems
Most popular content in Matematik
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user