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Understanding Multiples and Prime Numbers for Kids: Examples, Worksheets, and Tips

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Alice

15/01/2023

Maths

Types of numbers

Understanding Multiples and Prime Numbers for Kids: Examples, Worksheets, and Tips

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, cubes, and square and cube roots. Through clear explanations and examples, students can grasp these fundamental mathematical principles.

Key points:

  • Multiples are numbers in a given number's times table
  • Prime numbers have exactly two factors
  • Rules for operations with negative numbers
  • Squaring and cubing numbers, including negative numbers
  • Finding square roots and cube roots
...

15/01/2023

460

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Prime Numbers

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.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Adding and Subtracting Negative Numbers

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:

  • -2 - 6 = -8
  • 16 + 2-2 = 14
  • 32 + 8-8 = 24
  • -4 - 5 = -9
  • -30 - 43 = -73

Highlight: Understanding how to add and subtract negative numbers is crucial for solving more complex mathematical problems and real-world applications.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Multiplying and Dividing Negative Numbers

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:

  • Positive × Positive = Positive
  • Negative × Positive = Negative
  • Negative × Negative = Positive
  • Positive ÷ Positive = Positive
  • Negative ÷ Positive = Negative
  • Positive ÷ Negative = Negative
  • Negative ÷ Negative = Positive

Example: -5 × -4 = 20 positiveresultbecausebothnumbersarenegativepositive result because both numbers are negative

The page provides practice problems such as:

  • 6 × -6 = -36
  • -20 ÷ 5 = -4
  • 35 ÷ -5 = -7
  • -50 ÷ -5 = 10

Highlight: Mastering these rules is essential for solving equations and understanding more advanced mathematical concepts.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Squares and Square Roots

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:

  • 9² = 81
  • 8-8² = 64

Practice problems include:

  • 2² = 4
  • 7² = 49
  • 4-4² = 16
  • 10-10² = 100

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:

  • √9 = 3
  • √144 = 12
  • √4 = 2
  • √100 = 10

Highlight: Square roots are essential in many areas of mathematics and science, including solving quadratic equations and calculating distances.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Cubes and Cube Roots

This page explains the concept of cubing numbers and finding cube roots.

Definition: To cube a number, we multiply the number by itself twice ormultiplythenumberbyitssquareor multiply the number by its square.

Example: 4³ = 4 × 4 × 4 = 64

The page provides examples of cubing numbers:

  • 10³ = 10 × 10 × 10 = 1000

Practice problems include:

  • 2³ = 8
  • 4-4³ = -64

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:

  • ³√27 = 3
  • ³√8 = 2

Highlight: Cube roots are used in various fields, including engineering and physics, for solving three-dimensional problems.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Additional Practice and Review

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:

  • ³√27 = 3
  • ³√125 = 5
  • ³√1000 = 10

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.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

View

Understanding Multiples and Prime Numbers

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.

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Maths

460

15 Jan 2023

8 pages

Understanding Multiples and Prime Numbers for Kids: Examples, Worksheets, and Tips

A

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

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Prime Numbers

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.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Adding and Subtracting Negative Numbers

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:

  • -2 - 6 = -8
  • 16 + 2-2 = 14
  • 32 + 8-8 = 24
  • -4 - 5 = -9
  • -30 - 43 = -73

Highlight: Understanding how to add and subtract negative numbers is crucial for solving more complex mathematical problems and real-world applications.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Multiplying and Dividing Negative Numbers

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:

  • Positive × Positive = Positive
  • Negative × Positive = Negative
  • Negative × Negative = Positive
  • Positive ÷ Positive = Positive
  • Negative ÷ Positive = Negative
  • Positive ÷ Negative = Negative
  • Negative ÷ Negative = Positive

Example: -5 × -4 = 20 positiveresultbecausebothnumbersarenegativepositive result because both numbers are negative

The page provides practice problems such as:

  • 6 × -6 = -36
  • -20 ÷ 5 = -4
  • 35 ÷ -5 = -7
  • -50 ÷ -5 = 10

Highlight: Mastering these rules is essential for solving equations and understanding more advanced mathematical concepts.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Squares and Square Roots

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:

  • 9² = 81
  • 8-8² = 64

Practice problems include:

  • 2² = 4
  • 7² = 49
  • 4-4² = 16
  • 10-10² = 100

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:

  • √9 = 3
  • √144 = 12
  • √4 = 2
  • √100 = 10

Highlight: Square roots are essential in many areas of mathematics and science, including solving quadratic equations and calculating distances.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Cubes and Cube Roots

This page explains the concept of cubing numbers and finding cube roots.

Definition: To cube a number, we multiply the number by itself twice ormultiplythenumberbyitssquareor multiply the number by its square.

Example: 4³ = 4 × 4 × 4 = 64

The page provides examples of cubing numbers:

  • 10³ = 10 × 10 × 10 = 1000

Practice problems include:

  • 2³ = 8
  • 4-4³ = -64

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:

  • ³√27 = 3
  • ³√8 = 2

Highlight: Cube roots are used in various fields, including engineering and physics, for solving three-dimensional problems.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Additional Practice and Review

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:

  • ³√27 = 3
  • ³√125 = 5
  • ³√1000 = 10

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.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Understanding Multiples and Prime Numbers

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.

14/01/ 23.
week
Multiples.
The multiple of a number are all the
numbers in its times table.
The multiples of 5 ore all the numbers
in the 5

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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Paul T

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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