Zaokrúhľovanie desatinných čísel je ako "česanie" čísel - robíme ich... Show more
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Updated Mar 15, 2026
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Jednoduché zaokrúhľovanie desatinných čísel
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Čo je zaokrúhľovanie desatinných čísel
Určite už vieš zaokrúhľovať celé čísla na desiatky či stovky. Pri desatinných číslach je to veľmi podobné, len musíš dávať pozor na desatinnú čiarku a miesta za ňou.
Najprve si pripomeň základy. Desatinné číslo má celú časť a desatinnú časť oddelené čiarkou (napríklad 3,14). Desatinné miesta sú cifry za čiarkou - číslo 3,14 má dve desatinné miesta.
Zaokrúhľovanie znamená, že zmeníš číslo na jednoduchšie, ale stále mu blízke. Napríklad 3,47 môžeš zaokrúhliť na 3,5. Je to menej presné, ale oveľa jednoduchšie na prácu.
Tip: Zaokrúhľovanie používame hlavne pri práci s peniazmi alebo meraniami, kde nepotrebujeme absolútnu presnosť!
Ako zaokrúhľovať - základné pravidlá
Zaokrúhľovanie má jednoduché pravidlá, ktoré fungujú vždy. Najskôr si urči, na koľko desatinných miest zaokrúhľuješ - na jedno (desatiny), dve (stotiny) alebo tri (tisíciny).
Potom postupuj v troch krokoch. Prvý: nájdi cifru na mieste, kam zaokrúhľuješ. Druhý: pozri sa na cifru hneď za ňou (o jedno miesto doprava). Tretí: použi pravidlo.
Pravidlo je jednoduché: Ak je cifra za zaokrúhľovaným miestom 0, 1, 2, 3 alebo 4, zaokrúhľované miesto zostane rovnaké. Ak je to 5, 6, 7, 8 alebo 9, zaokrúhľované miesto sa zväčší o jedna.
Pozor: Pri desatinných číslach cifry za zaokrúhľovaným miestom jednoducho odpadnú, nenahrádzajú sa nulami ako pri celých číslach!
Riešené príklady krok za krokom
Pozrime si, ako to funguje v praxi. Zaokrúhli 3,47 na jedno desatinné miesto. Prvé desatinné miesto je cifra 4, za ňou je cifra 7. Pretože 7 je väčšie ako 5, cifra 4 sa zväčší na 5. Výsledok: 3,5.
Skúsme zaokrúhliť 12,032 na dve desatinné miesta. Druhé desatinné miesto je cifra 3, za ňou je cifra 2. Pretože 2 je menšie ako 5, cifra 3 zostane rovnaká. Výsledok: 12,03.
Špeciálny prípad: zaokrúhli 0,98 na jedno desatinné miesto. Prvé desatinné miesto je 9, za ním 8. Cifra 9 sa má zväčšiť, ale 9+1=10. Zapíšeme 0 a 1 pripočítame k celej časti. Výsledok: 1,0.
Dôležité: Pri výsledku 1,0 nezabudni napísať nulu - ukazuje to, že si zaokrúhľoval na jedno desatinné miesto!
Časté chyby a užitočné tipy
Najväčšia chyba je pozeranie na zlú cifru. Vždy sa pozeraj na cifru hneď za miestom, na ktoré zaokrúhľuješ, nie na iné! Ak zaokrúhľuješ na desatiny, pozri sa na stotiny.
Druhá častá chyba je pri čítaní zadania. Poriadne si prečítaj, či máš zaokrúhliť na desatiny, stotiny alebo tisíciny. Každé má iné miesto!
Zaokrúhľovanie sa hodí pri počítaní peňazí (centy), odhadovaní výsledkov alebo meraní, kde nepotrebuješ super presnú hodnotu. V reálnom živote je to veľmi praktické.
Pamätaj si: Pravidlo "5 a viac zaokrúhľujeme nahor" platí rovnako pre desatinné čísla aj celé čísla!
Rýchly súhrn na test
Tu je všetko, co potrebuješ vedieť na test o zaokrúhľovaní desatinných čísel. Tri kroky: urči miesto zaokrúhľovania, pozri sa na cifru za ním, použi pravidlo.
Pravidlá: Cifry 0-4 znamenajú "nechaj ako je", cifry 5-9 znamenajú "zväčši o jedna". Cifry za zaokrúhľovaným miestom jednoducho odpadnú.
Špeciálny prípad: ak sa cifra zväčší na 10, napíš 0 a prenies 1 na predchádzajúce miesto. Napríklad 0,98 → 1,0.
Pro tip: Cvič si rôzne príklady a vždy kontroluj, či si sa pozrel na správnu cifru. To je kľúč k úspechu!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the 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 in Matematika
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Jednoduché zaokrúhľovanie desatinných čísel
Zaokrúhľovanie desatinných čísel je ako "česanie" čísel - robíme ich jednoduchšími, ale stále blízkymi pôvodnému číslu. Je to super užitočné pri počítaní peňazí, meraní alebo kedykoľvek nepotrebuješ úplne presnú hodnotu.
Čo je zaokrúhľovanie desatinných čísel
Určite už vieš zaokrúhľovať celé čísla na desiatky či stovky. Pri desatinných číslach je to veľmi podobné, len musíš dávať pozor na desatinnú čiarku a miesta za ňou.
Najprve si pripomeň základy. Desatinné číslo má celú časť a desatinnú časť oddelené čiarkou (napríklad 3,14). Desatinné miesta sú cifry za čiarkou - číslo 3,14 má dve desatinné miesta.
Zaokrúhľovanie znamená, že zmeníš číslo na jednoduchšie, ale stále mu blízke. Napríklad 3,47 môžeš zaokrúhliť na 3,5. Je to menej presné, ale oveľa jednoduchšie na prácu.
Tip: Zaokrúhľovanie používame hlavne pri práci s peniazmi alebo meraniami, kde nepotrebujeme absolútnu presnosť!
Sign up to see the contentIt's free!
Access to all documents
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Ako zaokrúhľovať - základné pravidlá
Zaokrúhľovanie má jednoduché pravidlá, ktoré fungujú vždy. Najskôr si urči, na koľko desatinných miest zaokrúhľuješ - na jedno (desatiny), dve (stotiny) alebo tri (tisíciny).
Potom postupuj v troch krokoch. Prvý: nájdi cifru na mieste, kam zaokrúhľuješ. Druhý: pozri sa na cifru hneď za ňou (o jedno miesto doprava). Tretí: použi pravidlo.
Pravidlo je jednoduché: Ak je cifra za zaokrúhľovaným miestom 0, 1, 2, 3 alebo 4, zaokrúhľované miesto zostane rovnaké. Ak je to 5, 6, 7, 8 alebo 9, zaokrúhľované miesto sa zväčší o jedna.
Pozor: Pri desatinných číslach cifry za zaokrúhľovaným miestom jednoducho odpadnú, nenahrádzajú sa nulami ako pri celých číslach!
Sign up to see the contentIt's free!
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Riešené príklady krok za krokom
Pozrime si, ako to funguje v praxi. Zaokrúhli 3,47 na jedno desatinné miesto. Prvé desatinné miesto je cifra 4, za ňou je cifra 7. Pretože 7 je väčšie ako 5, cifra 4 sa zväčší na 5. Výsledok: 3,5.
Skúsme zaokrúhliť 12,032 na dve desatinné miesta. Druhé desatinné miesto je cifra 3, za ňou je cifra 2. Pretože 2 je menšie ako 5, cifra 3 zostane rovnaká. Výsledok: 12,03.
Špeciálny prípad: zaokrúhli 0,98 na jedno desatinné miesto. Prvé desatinné miesto je 9, za ním 8. Cifra 9 sa má zväčšiť, ale 9+1=10. Zapíšeme 0 a 1 pripočítame k celej časti. Výsledok: 1,0.
Dôležité: Pri výsledku 1,0 nezabudni napísať nulu - ukazuje to, že si zaokrúhľoval na jedno desatinné miesto!
Sign up to see the contentIt's free!
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Improve your grades
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Časté chyby a užitočné tipy
Najväčšia chyba je pozeranie na zlú cifru. Vždy sa pozeraj na cifru hneď za miestom, na ktoré zaokrúhľuješ, nie na iné! Ak zaokrúhľuješ na desatiny, pozri sa na stotiny.
Druhá častá chyba je pri čítaní zadania. Poriadne si prečítaj, či máš zaokrúhliť na desatiny, stotiny alebo tisíciny. Každé má iné miesto!
Zaokrúhľovanie sa hodí pri počítaní peňazí (centy), odhadovaní výsledkov alebo meraní, kde nepotrebuješ super presnú hodnotu. V reálnom živote je to veľmi praktické.
Pamätaj si: Pravidlo "5 a viac zaokrúhľujeme nahor" platí rovnako pre desatinné čísla aj celé čísla!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Rýchly súhrn na test
Tu je všetko, co potrebuješ vedieť na test o zaokrúhľovaní desatinných čísel. Tri kroky: urči miesto zaokrúhľovania, pozri sa na cifru za ním, použi pravidlo.
Pravidlá: Cifry 0-4 znamenajú "nechaj ako je", cifry 5-9 znamenajú "zväčši o jedna". Cifry za zaokrúhľovaným miestom jednoducho odpadnú.
Špeciálny prípad: ak sa cifra zväčší na 10, napíš 0 a prenies 1 na predchádzajúce miesto. Napríklad 0,98 → 1,0.
Pro tip: Cvič si rôzne príklady a vždy kontroluj, či si sa pozrel na správnu cifru. To je kľúč k úspechu!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the 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 in Matematika
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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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
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
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
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
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user