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14
0
Alice
31/08/2025
Maths
Types of numbers
461
•
31 Aug 2025
•
Alice
@alice_aqmf
Understanding multiples, prime numbers, and operations with negative numbers is... Show more
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
This page focuses on prime numbers and how to identify them.
Definition: A prime number is a number with exactly two factors.
The page lists some prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.
Example: To determine if a number is prime, we check its factors. For instance, 1 is not a prime number because it only has one factor. 8 is not prime because it has factors 1, 2, 4, and 8. 7 is prime because its only factors are 1 and 7.
Highlight: Recognizing prime numbers is an essential skill in number theory and has applications in various areas of mathematics.
This page explains how to add and subtract negative numbers using a number line approach.
Example: For -3 + 5, start at -3 on the number line and move 5 steps to the right, landing on 2. Therefore, -3 + 5 = 2.
The page provides several examples and practice problems, including:
Highlight: Understanding how to add and subtract negative numbers is crucial for solving more complex mathematical problems and real-world applications.
This page covers the rules for multiplying and dividing negative numbers.
Definition: When multiplying or dividing numbers with different signs, the result is negative. When the signs are the same, the result is positive.
The rules are summarized as follows:
Example: -5 × -4 = 20 (positive result because both numbers are negative)
The page provides practice problems such as:
Highlight: Mastering these rules is essential for solving equations and understanding more advanced mathematical concepts.
This page introduces the concept of squaring numbers and finding square roots.
Definition: To square a number, we multiply the number by itself.
Example: 3 squared (3²) is 3 × 3 = 9, and 4 squared (4²) is 4 × 4 = 16.
The page provides examples of squaring larger numbers and negative numbers:
Practice problems include:
Highlight: Understanding squares is crucial for areas such as geometry and algebra.
The page also introduces square roots as the inverse operation of squaring.
Example: The square root of 81 is 9 because 9² = 81.
Practice problems for square roots include:
Highlight: Square roots are essential in many areas of mathematics and science, including solving quadratic equations and calculating distances.
This page explains the concept of cubing numbers and finding cube roots.
Definition: To cube a number, we multiply the number by itself twice (or multiply the number by its square).
Example: 4³ = 4 × 4 × 4 = 64
The page provides examples of cubing numbers:
Practice problems include:
Highlight: Understanding cubes is important for volume calculations and more advanced mathematical concepts.
The page also introduces cube roots as the inverse operation of cubing.
Definition: The cube root of a number is the value that, when cubed, gives the original number.
Example: The cube root of 1000 is 10 because 10³ = 1000.
Practice problems for cube roots include:
Highlight: Cube roots are used in various fields, including engineering and physics, for solving three-dimensional problems.
This final page provides additional practice problems and reviews key concepts covered in the previous pages. It reinforces the understanding of squares, cubes, square roots, and cube roots.
Example: ³√216 = 6 because 6³ = 216
The page includes practice problems such as:
Highlight: Regular practice with these concepts helps solidify understanding and improves problem-solving skills in mathematics.
The page concludes with a reminder of the importance of mastering these fundamental mathematical operations for success in more advanced mathematical studies.
This page introduces the concept of multiples and provides examples for finding multiples of different numbers.
Definition: Multiples of numbers are all the numbers in its times table.
For example, the multiples of 5 are all the numbers in the 5 times table. The page demonstrates how to find the first 5 multiples of 3 and 7.
Example: The first 5 multiples of 3 are 3, 6, 9, 12, 15.
The page also covers multiples of 10, showing that the first 5 multiples of 10 are 10, 20, 30, 40, 50.
Highlight: Understanding multiples is fundamental for more advanced mathematical concepts and problem-solving.
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.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App 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
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 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 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 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 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
Alice
@alice_aqmf
Understanding multiples, prime numbers, and operations with negative numbers is crucial for young math students. This guide covers key concepts including multiples of numbers, prime numbers, adding and subtracting negative numbers, multiplying and dividing negative numbers, squares,... 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 focuses on prime numbers and how to identify them.
Definition: A prime number is a number with exactly two factors.
The page lists some prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.
Example: To determine if a number is prime, we check its factors. For instance, 1 is not a prime number because it only has one factor. 8 is not prime because it has factors 1, 2, 4, and 8. 7 is prime because its only factors are 1 and 7.
Highlight: Recognizing prime numbers is an essential skill in number theory and has applications in various areas of mathematics.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page explains how to add and subtract negative numbers using a number line approach.
Example: For -3 + 5, start at -3 on the number line and move 5 steps to the right, landing on 2. Therefore, -3 + 5 = 2.
The page provides several examples and practice problems, including:
Highlight: Understanding how to add and subtract negative numbers is crucial for solving more complex mathematical 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 covers the rules for multiplying and dividing negative numbers.
Definition: When multiplying or dividing numbers with different signs, the result is negative. When the signs are the same, the result is positive.
The rules are summarized as follows:
Example: -5 × -4 = 20 (positive result because both numbers are negative)
The page provides practice problems such as:
Highlight: Mastering these rules is essential for solving equations and understanding more advanced mathematical concepts.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the concept of squaring numbers and finding square roots.
Definition: To square a number, we multiply the number by itself.
Example: 3 squared (3²) is 3 × 3 = 9, and 4 squared (4²) is 4 × 4 = 16.
The page provides examples of squaring larger numbers and negative numbers:
Practice problems include:
Highlight: Understanding squares is crucial for areas such as geometry and algebra.
The page also introduces square roots as the inverse operation of squaring.
Example: The square root of 81 is 9 because 9² = 81.
Practice problems for square roots include:
Highlight: Square roots are essential in many areas of mathematics and science, including solving quadratic equations and calculating distances.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page explains the concept of cubing numbers and finding cube roots.
Definition: To cube a number, we multiply the number by itself twice (or multiply the number by its square).
Example: 4³ = 4 × 4 × 4 = 64
The page provides examples of cubing numbers:
Practice problems include:
Highlight: Understanding cubes is important for volume calculations and more advanced mathematical concepts.
The page also introduces cube roots as the inverse operation of cubing.
Definition: The cube root of a number is the value that, when cubed, gives the original number.
Example: The cube root of 1000 is 10 because 10³ = 1000.
Practice problems for cube roots include:
Highlight: Cube roots are used in various fields, including engineering and physics, for solving three-dimensional problems.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This final page provides additional practice problems and reviews key concepts covered in the previous pages. It reinforces the understanding of squares, cubes, square roots, and cube roots.
Example: ³√216 = 6 because 6³ = 216
The page includes practice problems such as:
Highlight: Regular practice with these concepts helps solidify understanding and improves problem-solving skills in mathematics.
The page concludes with a reminder of the importance of mastering these fundamental mathematical operations for success in more advanced mathematical studies.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the concept of multiples and provides examples for finding multiples of different numbers.
Definition: Multiples of numbers are all the numbers in its times table.
For example, the multiples of 5 are all the numbers in the 5 times table. The page demonstrates how to find the first 5 multiples of 3 and 7.
Example: The first 5 multiples of 3 are 3, 6, 9, 12, 15.
The page also covers multiples of 10, showing that the first 5 multiples of 10 are 10, 20, 30, 40, 50.
Highlight: Understanding multiples is fundamental for more advanced mathematical concepts and problem-solving.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
App 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
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 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 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 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 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
