•

Updated Apr 3, 2026

•

1 page

7th Grade Math Integer Operations Rules & Worksheets

Mira

@miraa._noui

Integer operations are fundamental in 7th grade math, covering addition,... Show more

# integer

RULES

add SAME
signs

Add normally

143:10

-7+-3:-10

Subtract LCC-
(leave, change, change)

-7-3--7+-3

-71-5-104-1

DIFFERENT

Integer Operations Rules

This page provides a comprehensive overview of integer operations for grade 7 math, covering the rules for addition, subtraction, multiplication, and division of integers. These rules of integers in all operations are essential for students to master before moving on to more complex mathematical concepts.

Definition: Integers are whole numbers that can be positive, negative, or zero.

Adding Integers with the Same Sign

When adding integers with the same sign, the process is straightforward:

Add the absolute values of the numbers.
Keep the common sign for the result.

Example: 7 + 3 = 10 (positive numbers) Example: -7 + (-3) = -10 (negative numbers)

Adding Integers with Different Signs

For integers with different signs, the process is similar to subtraction:

Subtract the smaller absolute value from the larger one.
Use the sign of the number with the larger absolute value.

Example: -7 + 3 = -4 $The absolute value of -7 is larger, so the result is negative$ Example: -3 + 7 = 4 (The absolute value of 7 is larger, so the result is positive)

Subtracting Integers

Subtraction of integers can be rewritten as addition of the opposite:

Highlight: To subtract an integer, add its opposite.

For example, 7 - 3 can be rewritten as 7 + (-3).

Multiplying and Dividing Integers

The rules for multiplying and dividing integers are based on the signs of the numbers:

When the signs are the same, the result is positive.
When the signs are different, the result is negative.

Example: -7 × 3 = -21 (different signs, negative result) Example: -3 × -7 = 21 (same signs, positive result)

These rules apply to division as well:

Example: 6 ÷ (-3) = -2 (different signs, negative result)

Understanding these rules of integers in all operations is crucial for success in 7th grade math integer operations. Practice with integers grade 7 worksheets with answers can help reinforce these concepts and improve proficiency in working with positive and negative numbers.

We thought you’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 – all at your fingertips.

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

Students love us — and so will you.

4.6/5

App Store

4.7/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

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 Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This 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

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Basil

Android user

David K

iOS user

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

Rohan U

Android user

Xander S

iOS user

Elisha

iOS user

Paul T

iOS user

Mathematics

•

1,807

•

Updated Apr 3, 2026

•

1 page

7th Grade Math Integer Operations Rules & Worksheets

Mira

@miraa._noui

Integer operations are fundamental in 7th grade math, covering addition, subtraction, multiplication, and division of positive and negative numbers. These rules form the basis for more advanced mathematical concepts.

Rules for adding integerswith the same sign: Add normally and... Show more

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

Integer Operations Rules

Definition: Integers are whole numbers that can be positive, negative, or zero.

Adding Integers with the Same Sign

When adding integers with the same sign, the process is straightforward:

Add the absolute values of the numbers.
Keep the common sign for the result.

Example: 7 + 3 = 10 (positive numbers) Example: -7 + (-3) = -10 (negative numbers)

Adding Integers with Different Signs

For integers with different signs, the process is similar to subtraction:

Subtract the smaller absolute value from the larger one.
Use the sign of the number with the larger absolute value.

Example: -7 + 3 = -4 $The absolute value of -7 is larger, so the result is negative$ Example: -3 + 7 = 4 (The absolute value of 7 is larger, so the result is positive)

Subtracting Integers

Subtraction of integers can be rewritten as addition of the opposite:

Highlight: To subtract an integer, add its opposite.

For example, 7 - 3 can be rewritten as 7 + (-3).

Multiplying and Dividing Integers

The rules for multiplying and dividing integers are based on the signs of the numbers:

When the signs are the same, the result is positive.
When the signs are different, the result is negative.

Example: -7 × 3 = -21 (different signs, negative result) Example: -3 × -7 = 21 (same signs, positive result)

These rules apply to division as well:

Example: 6 ÷ (-3) = -2 (different signs, negative result)