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Biology
Chemistry
AP Chemistry
English
AP English Literature
Maths
Dec 22, 2025
676
4 pages
Nadiya Islam @nadiyaaa
Error intervals are crucial in understanding the limits of accuracywhen dealing with rounded or truncated numbers. This... Show more
This page provides a practical example of how to determine error intervals for a given measurement.
Example Consider x = 30 cm to the nearest ten.
To find the error interval for this measurement
The error interval is expressed as an inequality
Highlight 25 < x < 35
This means that the actual value of x is greater than or equal to 25 cm and strictly less than 35 cm before rounding.
Vocabulary Lower bound - the smallest possible value before rounding. Vocabulary Upper bound - the largest possible value before rounding.
Understanding this concept is crucial for calculating error intervals for rounded numbers in various GCSE maths problems and real-world applications.
This page outlines the process for finding error intervals, which is essential for understanding error intervals in math.
Identify the place value of the stated degree of accuracy. This determines the interval size for the error interval.
For rounded numbers
For truncated numbers
Express the error interval as an inequality Min ≤ x < Max
Highlight For rounded numbers, the maximum and minimum are referred to as the upper and lower bounds of the number.
Example If a number is rounded to the nearest ten, the interval size is 5 (half of 10).
This method works for various degrees of accuracy, making it a versatile tool for calculating error intervals for rounded numbers in GCSE maths and beyond.
Vocabulary Truncation - cutting off digits beyond a certain decimal place without rounding.
Understanding these steps is crucial for using an error interval calculator or solving problems manually.
This page demonstrates how to apply the concept of error intervals to a specific example, which is crucial for mastering error intervals examples and understanding error intervals in math worksheets.
Example A number X is rounded to 1 decimal place (1dp). The result is 8.2. Write down the error interval for X.
To solve this
Highlight The error interval 8.15 ≤ X < 8.25 means that X could have been any value from 8.15 (inclusive) up to, but not including, 8.25 before rounding.
This example illustrates how to apply the principles of error intervals to a specific case, which is essential for solving error interval questions and answers in GCSE maths exams and beyond.
Vocabulary Decimal place (dp) - the position of a digit to the right of a decimal point.
Understanding this process is key to using an error interval calculator effectively and solving problems involving error intervals to 2 decimal places or any other degree of accuracy.
Error intervals are a fundamental concept in mathematics, particularly relevant in GCSE maths, that deal with the limits of accuracy when numbers are rounded or truncated. They represent the range of possible values a number could have had before it was rounded or truncated to a specific degree of accuracy.
Definition Error intervals are the range of possible values that a number could have been before it was rounded or truncated.
To determine error intervals, we consider the smallest and largest numbers that would round or be truncated to a given value for a specific degree of accuracy. This process involves careful consideration of place value and rounding rules.
Highlight Understanding error intervals is crucial for assessing the precision of measurements and calculations in various fields of study and practical applications.
The concept of error intervals is particularly useful when working with measurements or calculations where exact values are not known or cannot be determined precisely. It allows for a more accurate representation of data and helps in understanding the potential range of true values.
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.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
12
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Explore key Algebra concepts including quadratic functions, sequences, and graphing techniques. This assessment summary covers simplifying expressions, slope-intercept form, and two-variable linear equations, providing essential insights for mastering Algebra 1H. Ideal for students preparing for exams or seeking to reinforce their understanding of Algebra.
MathsHow to find nth term | examples & tutorial
MathsExplore key concepts of recurrence relations through practical word problems, including drug dosage calculations and loan repayments. This summary covers recursive formulas, compound interest, and exponential decay, providing essential insights for higher mathematics students.
MathsExplore the methods to determine the nth term of mathematical sequences, including polynomials and quadratics. This summary covers key concepts such as first and second differences, explicit formulas, and practical examples to enhance your understanding. Ideal for students studying mathematical sequences.
MathsPrepare for your Edexcel GCSE Maths exam with this comprehensive practice paper. This resource includes a variety of questions covering key topics such as percentages, probability, arithmetic sequences, and data interpretation. Ideal for students looking to enhance their problem-solving skills and exam readiness.
MathsPrepare for your Edexcel Maths exam with this comprehensive practice paper covering key topics such as powers of 10, statistical averages, geometric transformations, and algebraic equations. This resource includes a variety of question types to enhance your numeracy skills and exam readiness.
MathsApp Store
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 THE SCHOOLGPT. 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 THE SCHOOLGPT. 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
Nadiya Islam
@nadiyaaa
Error intervals are crucial in understanding the limits of accuracy when dealing with rounded or truncated numbers. This concept is essential in GCSE mathsand beyond, helping students grasp the range of possible values a number could have had before... Show more
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page provides a practical example of how to determine error intervals for a given measurement.
Example: Consider x = 30 cm to the nearest ten.
To find the error interval for this measurement:
The error interval is expressed as an inequality:
Highlight: 25 < x < 35
This means that the actual value of x is greater than or equal to 25 cm and strictly less than 35 cm before rounding.
Vocabulary: Lower bound - the smallest possible value before rounding. Vocabulary: Upper bound - the largest possible value before rounding.
Understanding this concept is crucial for calculating error intervals for rounded numbers in various GCSE maths problems and real-world applications.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page outlines the process for finding error intervals, which is essential for understanding error intervals in math.
Identify the place value of the stated degree of accuracy. This determines the interval size for the error interval.
For rounded numbers:
For truncated numbers:
Express the error interval as an inequality: Min ≤ x < Max
Highlight: For rounded numbers, the maximum and minimum are referred to as the upper and lower bounds of the number.
Example: If a number is rounded to the nearest ten, the interval size is 5 (half of 10).
This method works for various degrees of accuracy, making it a versatile tool for calculating error intervals for rounded numbers in GCSE maths and beyond.
Vocabulary: Truncation - cutting off digits beyond a certain decimal place without rounding.
Understanding these steps is crucial for using an error interval calculator or solving problems manually.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page demonstrates how to apply the concept of error intervals to a specific example, which is crucial for mastering error intervals examples and understanding error intervals in math worksheets.
Example: A number X is rounded to 1 decimal place (1dp). The result is 8.2. Write down the error interval for X.
To solve this:
Highlight: The error interval 8.15 ≤ X < 8.25 means that X could have been any value from 8.15 (inclusive) up to, but not including, 8.25 before rounding.
This example illustrates how to apply the principles of error intervals to a specific case, which is essential for solving error interval questions and answers in GCSE maths exams and beyond.
Vocabulary: Decimal place (dp) - the position of a digit to the right of a decimal point.
Understanding this process is key to using an error interval calculator effectively and solving problems involving error intervals to 2 decimal places or any other degree of accuracy.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Error intervals are a fundamental concept in mathematics, particularly relevant in GCSE maths, that deal with the limits of accuracy when numbers are rounded or truncated. They represent the range of possible values a number could have had before it was rounded or truncated to a specific degree of accuracy.
Definition: Error intervals are the range of possible values that a number could have been before it was rounded or truncated.
To determine error intervals, we consider the smallest and largest numbers that would round or be truncated to a given value for a specific degree of accuracy. This process involves careful consideration of place value and rounding rules.
Highlight: Understanding error intervals is crucial for assessing the precision of measurements and calculations in various fields of study and practical applications.
The concept of error intervals is particularly useful when working with measurements or calculations where exact values are not known or cannot be determined precisely. It allows for a more accurate representation of data and helps in understanding the potential range of true values.
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.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
12
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Explore key Algebra concepts including quadratic functions, sequences, and graphing techniques. This assessment summary covers simplifying expressions, slope-intercept form, and two-variable linear equations, providing essential insights for mastering Algebra 1H. Ideal for students preparing for exams or seeking to reinforce their understanding of Algebra.
MathsHow to find nth term | examples & tutorial
MathsExplore key concepts of recurrence relations through practical word problems, including drug dosage calculations and loan repayments. This summary covers recursive formulas, compound interest, and exponential decay, providing essential insights for higher mathematics students.
MathsExplore the methods to determine the nth term of mathematical sequences, including polynomials and quadratics. This summary covers key concepts such as first and second differences, explicit formulas, and practical examples to enhance your understanding. Ideal for students studying mathematical sequences.
MathsPrepare for your Edexcel GCSE Maths exam with this comprehensive practice paper. This resource includes a variety of questions covering key topics such as percentages, probability, arithmetic sequences, and data interpretation. Ideal for students looking to enhance their problem-solving skills and exam readiness.
MathsPrepare for your Edexcel Maths exam with this comprehensive practice paper covering key topics such as powers of 10, statistical averages, geometric transformations, and algebraic equations. This resource includes a variety of question types to enhance your numeracy skills and exam readiness.
MathsApp Store
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 THE SCHOOLGPT. 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 THE SCHOOLGPT. 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
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