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13 Dec 2025

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Mastering Decimals: Multiplying and Dividing Made Easy

user profile picture

๐Ÿชธ๐Ÿ’—Maya K๐Ÿ’—๐Ÿชธ @pawz.z

Decimals might seem tricky at first, but they're actually just another way to write numbers - and once... Show more

MATH
Decimals
Adding and subtracting decimals
When adding
Subtracting decimals we
or
make
sure
we
have
place
lined
the
need to
numbers in
th

Adding and Subtracting Decimals

The secret to adding and subtracting decimals is all about lining things up properly - think of it like parking cars in designated spaces! You need to make sure the decimal points sit directly under each other, with units under units and tenths under tenths.

When you're adding numbers like 3.42 + 1.7, don't panic about the different lengths. Simply add a zero to make 1.7 become 1.70 - this makes the calculation much clearer. Your sum becomes 3.42 + 1.70 = 5.12, and you're sorted!

Subtraction works exactly the same way - line up those decimal points first. For 7.43 - 2.59, you might need to borrow from the column to the left, just like with whole numbers. Remember, if one number has fewer decimal places, add zeros to match the other number's length.

Top Tip Always double-check your decimal point alignment before you start calculating - it's the most common mistake students make!

MATH
Decimals
Adding and subtracting decimals
When adding
Subtracting decimals we
or
make
sure
we
have
place
lined
the
need to
numbers in
th

Multiplying, Dividing and Converting Decimals

Multiplying decimals is simpler than you think - just ignore the decimal points completely at first! Multiply the numbers as if they were whole numbers, then count up all the decimal places in both original numbers. Your final answer needs exactly that many decimal places.

For example, 4.5 ร— 2.4 becomes 45 ร— 24 = 1080. Since you had one decimal place in each number (that's 2 total), your answer is 10.8. Easy!

Dividing decimals requires a clever trick - turn the division into a fraction first. Then multiply both the top and bottom by 10, 100, or 1000 until you've eliminated all decimal points. So 5.4 รท 0.06 becomes 540 รท 6 = 90.

When converting between fractions, decimals and percentages, remember the simple rules multiply by 100 to go from decimal to percentage, divide by 100 to go the other way. For fractions, divide the top by the bottom to get a decimal.

Remember Practice makes perfect - try these techniques with your pocket money calculations to see decimals in action!

We thought youโ€™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 โ€“ all at your fingertips.

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Smart Tools NEW

Transform this note into: โœ“ 50+ Practice Questions โœ“ Interactive Flashcards โœ“ Full Mock Exam โœ“ Essay Outlines

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Similar content

Ordering Decimals Explained

This summary covers the essential concepts of ordering decimals and understanding place value. Learn how to compare decimal numbers, convert between decimals, fractions, and percentages, and the significance of each digit's place value. Ideal for students looking to enhance their numeracy skills in mathematics.

MathsMaths
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Decimal Multiplication Techniques

Explore effective techniques for multiplying decimals, including step-by-step calculations and the importance of decimal placement. This summary covers key concepts such as handling decimal points, examples of multiplication with decimals, and tips for accurate results. Ideal for students looking to master decimal multiplication.

MathsMaths
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Converting Recurring Decimals

Master the process of converting recurring decimals to fractions with this step-by-step guide. This resource covers essential techniques, including setting up equations and simplifying results, tailored for GCSE Maths Foundation and Higher students. Ideal for exam preparation and practice.

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GCSE Arithmetic Practice

Enhance your skills in multiplication and division with this comprehensive GCSE arithmetic practice. This resource covers key operations including adding and multiplying decimals, as well as division methods. Perfect for exam preparation, it includes a variety of questions with clear instructions and marks allocation. Ideal for students aiming to improve their mathematical proficiency.

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Understanding Growth & Decay

Explore the principles of discrete growth and decay through practical examples of percentage calculations, including compound interest and depreciation. This summary covers key concepts such as percent increase, percent decrease, and how to apply these in real-life scenarios. Ideal for students looking to master financial mathematics.

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Decimals: Operations Mastery

Master the essential arithmetic operations with decimals: addition, subtraction, multiplication, and division. This summary covers techniques for using BIDMAS and provides clear examples to enhance your understanding. Perfect for Year 8 students looking to strengthen their math skills.

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Most popular content in Maths

Most popular content

Can't find what you're looking for? Explore other subjects.

Students love us โ€” and so will you.

4.9/5

App Store

4.8/5

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 itโ€™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 didnโ€™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 Iโ€™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 ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

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 itโ€™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 didnโ€™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 Iโ€™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 ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

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

ย 

Maths

โ€ข

172

โ€ข

13 Dec 2025

โ€ข

2 pages

Mastering Decimals: Multiplying and Dividing Made Easy

user profile picture

๐Ÿชธ๐Ÿ’—Maya K๐Ÿ’—๐Ÿชธ

@pawz.z

Decimals might seem tricky at first, but they're actually just another way to write numbers - and once you master the basics, you'll find them everywhere in real life, from money to measurements. Let's break down the essential skills you... Show more

MATH
Decimals
Adding and subtracting decimals
When adding
Subtracting decimals we
or
make
sure
we
have
place
lined
the
need to
numbers in
th

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 Decimals

The secret to adding and subtracting decimals is all about lining things up properly - think of it like parking cars in designated spaces! You need to make sure the decimal points sit directly under each other, with units under units and tenths under tenths.

When you're adding numbers like 3.42 + 1.7, don't panic about the different lengths. Simply add a zero to make 1.7 become 1.70 - this makes the calculation much clearer. Your sum becomes 3.42 + 1.70 = 5.12, and you're sorted!

Subtraction works exactly the same way - line up those decimal points first. For 7.43 - 2.59, you might need to borrow from the column to the left, just like with whole numbers. Remember, if one number has fewer decimal places, add zeros to match the other number's length.

Top Tip: Always double-check your decimal point alignment before you start calculating - it's the most common mistake students make!

MATH
Decimals
Adding and subtracting decimals
When adding
Subtracting decimals we
or
make
sure
we
have
place
lined
the
need to
numbers in
th

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, Dividing and Converting Decimals

Multiplying decimals is simpler than you think - just ignore the decimal points completely at first! Multiply the numbers as if they were whole numbers, then count up all the decimal places in both original numbers. Your final answer needs exactly that many decimal places.

For example, 4.5 ร— 2.4 becomes 45 ร— 24 = 1080. Since you had one decimal place in each number (that's 2 total), your answer is 10.8. Easy!

Dividing decimals requires a clever trick - turn the division into a fraction first. Then multiply both the top and bottom by 10, 100, or 1000 until you've eliminated all decimal points. So 5.4 รท 0.06 becomes 540 รท 6 = 90.

When converting between fractions, decimals and percentages, remember the simple rules: multiply by 100 to go from decimal to percentage, divide by 100 to go the other way. For fractions, divide the top by the bottom to get a decimal.

Remember: Practice makes perfect - try these techniques with your pocket money calculations to see decimals in action!

We thought youโ€™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 โ€“ all at your fingertips.

2

Smart Tools NEW

Transform this note into: โœ“ 50+ Practice Questions โœ“ Interactive Flashcards โœ“ Full Mock Exam โœ“ Essay Outlines

Mock Exam
Quiz
Flashcards
Essay

Similar content

Ordering Decimals Explained

This summary covers the essential concepts of ordering decimals and understanding place value. Learn how to compare decimal numbers, convert between decimals, fractions, and percentages, and the significance of each digit's place value. Ideal for students looking to enhance their numeracy skills in mathematics.

MathsMaths
11

Decimal Multiplication Techniques

Explore effective techniques for multiplying decimals, including step-by-step calculations and the importance of decimal placement. This summary covers key concepts such as handling decimal points, examples of multiplication with decimals, and tips for accurate results. Ideal for students looking to master decimal multiplication.

MathsMaths
9

Converting Recurring Decimals

Master the process of converting recurring decimals to fractions with this step-by-step guide. This resource covers essential techniques, including setting up equations and simplifying results, tailored for GCSE Maths Foundation and Higher students. Ideal for exam preparation and practice.

MathsMaths
10

GCSE Arithmetic Practice

Enhance your skills in multiplication and division with this comprehensive GCSE arithmetic practice. This resource covers key operations including adding and multiplying decimals, as well as division methods. Perfect for exam preparation, it includes a variety of questions with clear instructions and marks allocation. Ideal for students aiming to improve their mathematical proficiency.

MathsMaths
11

Understanding Growth & Decay

Explore the principles of discrete growth and decay through practical examples of percentage calculations, including compound interest and depreciation. This summary covers key concepts such as percent increase, percent decrease, and how to apply these in real-life scenarios. Ideal for students looking to master financial mathematics.

MathsMaths
10

Decimals: Operations Mastery

Master the essential arithmetic operations with decimals: addition, subtraction, multiplication, and division. This summary covers techniques for using BIDMAS and provides clear examples to enhance your understanding. Perfect for Year 8 students looking to strengthen their math skills.

MathsMaths
8

Most popular content in Maths

Most popular content

Can't find what you're looking for? Explore other subjects.

Students love us โ€” and so will you.

4.9/5

App Store

4.8/5

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 itโ€™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 didnโ€™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 Iโ€™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 ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

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 itโ€™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 didnโ€™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 Iโ€™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 ๐Ÿ˜๐Ÿ˜๐Ÿ˜ฒ๐Ÿค‘๐Ÿ’—โœจ๐ŸŽ€๐Ÿ˜ฎ

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