Integer operations might seem tricky, but they're really about patterns...
Mathematics58 views·Updated Aug 15, 2026·3 pagesMastering Integer Operations for Success!
Saturn@saturn_starz
1 / 3
1
of 3
Integer Operations Basics
Ever notice how numbers can cancel each other out? When you have a negative number and its positive counterpart, they form a zero pair. For example, 7 and -7 are the same distance from zero but in opposite directions, and they add up to zero .
The absolute value of a number is simply its distance from zero, regardless of direction. That's why absolute values are always positive!
When adding integers with the same sign, add their values and keep that sign. When adding integers with different signs, subtract the smaller value from the larger one and keep the sign of the larger number. For example, -11 + 6 equals -5 because 11 is bigger than 6, so we subtract and keep the negative sign.
Remember this: Same signs add and keep; different signs subtract and keep the sign of the bigger number. This simple rhyme can save you on your next math test!
2
of 3
Adding and Subtracting Integers
When adding more than two integers, you can work with them in any order. First, combine any numbers with the same sign, then apply the rules for adding numbers with different signs. This makes complicated problems much more manageable!
Subtracting integers becomes simple when you remember this trick: subtracting a number is the same as adding its opposite. For example, 5 - 8 is the same as 5 + , which equals -3.
When you see problems like 13 - , remember that subtracting a negative means you're adding a positive! So 13 - = 13 + 16 = 29. It's like removing a debt – you end up with more than you started with.
Try this approach: When you see a subtraction problem, rewrite it as "adding the opposite" to make it easier to solve. For instance, -10 - becomes -10 + 11 = 1.
3
of 3
Multiplying and Dividing Integers
Multiplying and dividing integers follows a simple pattern based on signs. When you multiply or divide numbers with the same signs (positive × positive OR negative × negative), your answer is always positive.
When multiplying or dividing numbers with different signs (positive × negative OR negative × positive), your answer is always negative.
A quick way to remember this is to count the number of negatives. An even number of negatives gives you a positive answer, while an odd number of negatives results in a negative answer.
Quick tip: Instead of memorizing separate rules for multiplication and division, just count the negative signs! Two negatives make a positive, three negatives make a negative, and so on.
We thought you’d never ask...
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.
Similar Content
Most popular content: Integers
3
Algebra 1Integer Rules
A review of Integer concepts and how to solve integers
1834
Algebra 1Rules of Integer Operations
Learn the rules for adding, subtracting, multiplying, and dividing integers, along with examples and definitions of positive and negative integers.
9th570
MathematicsInteger Rules for Operations
7th grade math notes integer rules for operations
7th1,816351
Most popular content in Mathematics
9M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7571
G
GeometryGeometry Flashcards: Triangles, Proofs, Angles, and Lines
Master the fundamentals of geometry with these flashcards covering triangles, proofs, angles, and parallel lines. Test your knowledge and ace your exams!
9th3550
G
GeometryGeometry Essentials
Master the fundamentals of geometry with these flashcards covering angles, triangles, congruent triangles, parallel lines, and polygons.
10th3830
M
MathematicsMastering Medium Math: Grade 8 Flashcards
Boost your math skills with these engaging flashcards designed for 8th graders. Ace your exams and become a math whiz!
8th5430
M
GeometryMath Flashcards: Triangles, Angles, and Congruent Triangles
Master the fundamentals of geometry with these math flashcards covering triangle angles, parallel lines, and congruent triangles. Test your knowledge and ace your exams!
10th2690
M
Mathematicsmath
learn some new math
6th4433
A
MathematicsAlgebra 1 first week
First week material for Algebea 9th/8th grade
9th2920
S
MathematicsSolving X on both sides of an equation
Solve for x when there is x on both sides of equation.
9th3171
C
MathematicsChapter 2 Quiz. Algebra 1
Equations with variables on both side, literal equations, ratios, conversions, proportions
9th5032
Most popular content
9I
SAT®Introduction to SAT Error Pattern Analysis
Practice identifying common reasoning traps and misinterpretations in SAT reading and math stimuli to understand why distractors are plausible.
9th2,3790
I
SAT®Introduction to SAT Scoring and Scaled Results
Practice interpreting how raw scores are converted to the 1600-point scale and identifying the composition of section scores.
9th8980
P
SAT®Properties of Integer Operations
Practice applying commutative, associative, and distributive properties to solve complex SAT-style integer expressions.
9th7660
I
SAT®Identifying Independent Clauses and Phrases
Practice distinguishing between complete sentences and modifying phrases within complex SAT Reading and Writing passages.
9th3620
C
BiologyCell Organelles
This Quiz Is To Test Your Knowledge Of Cell Organelles And Their Functions Inside The Cell. It Can Also Be A Study Guide To Remember Them Better.
6th7170
B
Biologybiology cell organelles and functions
Do you know the cell organelles and their functions?
9th5130
M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7571
I
SAT®Identifying Parts of Speech in Context
Practice identifying how words function as different parts of speech within complex SAT-style sentences to determine grammatical accuracy.
9th2440
AlgebraFAR NOTES- CPM
Compiled by CPM
College2,11547
Students love us — and so will you.
4.6/5App Store
4.7/5Google 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 SiOS 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 KlichAndroid 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.
AnnaiOS user
Mathematics58 views·Updated Aug 15, 2026·3 pagesMastering Integer Operations for Success!
Saturn@saturn_starz
Integer operations might seem tricky, but they're really about patterns and rules that make sense once you get the hang of them. This review covers how to add, subtract, multiply and divide integers (positive and negative numbers) using simple strategies...
1
of 3
Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Integer Operations Basics
Ever notice how numbers can cancel each other out? When you have a negative number and its positive counterpart, they form a zero pair. For example, 7 and -7 are the same distance from zero but in opposite directions, and they add up to zero .
The absolute value of a number is simply its distance from zero, regardless of direction. That's why absolute values are always positive!
When adding integers with the same sign, add their values and keep that sign. When adding integers with different signs, subtract the smaller value from the larger one and keep the sign of the larger number. For example, -11 + 6 equals -5 because 11 is bigger than 6, so we subtract and keep the negative sign.
Remember this: Same signs add and keep; different signs subtract and keep the sign of the bigger number. This simple rhyme can save you on your next math test!
2
of 3Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Adding and Subtracting Integers
When adding more than two integers, you can work with them in any order. First, combine any numbers with the same sign, then apply the rules for adding numbers with different signs. This makes complicated problems much more manageable!
Subtracting integers becomes simple when you remember this trick: subtracting a number is the same as adding its opposite. For example, 5 - 8 is the same as 5 + , which equals -3.
When you see problems like 13 - , remember that subtracting a negative means you're adding a positive! So 13 - = 13 + 16 = 29. It's like removing a debt – you end up with more than you started with.
Try this approach: When you see a subtraction problem, rewrite it as "adding the opposite" to make it easier to solve. For instance, -10 - becomes -10 + 11 = 1.
3
of 3Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
Multiplying and Dividing Integers
Multiplying and dividing integers follows a simple pattern based on signs. When you multiply or divide numbers with the same signs (positive × positive OR negative × negative), your answer is always positive.
When multiplying or dividing numbers with different signs (positive × negative OR negative × positive), your answer is always negative.
A quick way to remember this is to count the number of negatives. An even number of negatives gives you a positive answer, while an odd number of negatives results in a negative answer.
Quick tip: Instead of memorizing separate rules for multiplication and division, just count the negative signs! Two negatives make a positive, three negatives make a negative, and so on.
We thought you’d never ask...
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.
Similar Content
Most popular content: Integers
3Algebra 1Integer Rules
A review of Integer concepts and how to solve integers
1834
Algebra 1Rules of Integer Operations
Learn the rules for adding, subtracting, multiplying, and dividing integers, along with examples and definitions of positive and negative integers.
9th570
MathematicsInteger Rules for Operations
7th grade math notes integer rules for operations
7th1,816351
Most popular content in Mathematics
9M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7571
G
GeometryGeometry Flashcards: Triangles, Proofs, Angles, and Lines
Master the fundamentals of geometry with these flashcards covering triangles, proofs, angles, and parallel lines. Test your knowledge and ace your exams!
9th3550
G
GeometryGeometry Essentials
Master the fundamentals of geometry with these flashcards covering angles, triangles, congruent triangles, parallel lines, and polygons.
10th3830
M
MathematicsMastering Medium Math: Grade 8 Flashcards
Boost your math skills with these engaging flashcards designed for 8th graders. Ace your exams and become a math whiz!
8th5430
M
GeometryMath Flashcards: Triangles, Angles, and Congruent Triangles
Master the fundamentals of geometry with these math flashcards covering triangle angles, parallel lines, and congruent triangles. Test your knowledge and ace your exams!
10th2690
M
Mathematicsmath
learn some new math
6th4433
A
MathematicsAlgebra 1 first week
First week material for Algebea 9th/8th grade
9th2920
S
MathematicsSolving X on both sides of an equation
Solve for x when there is x on both sides of equation.
9th3171
C
MathematicsChapter 2 Quiz. Algebra 1
Equations with variables on both side, literal equations, ratios, conversions, proportions
9th5032
Most popular content
9I
SAT®Introduction to SAT Error Pattern Analysis
Practice identifying common reasoning traps and misinterpretations in SAT reading and math stimuli to understand why distractors are plausible.
9th2,3790
I
SAT®Introduction to SAT Scoring and Scaled Results
Practice interpreting how raw scores are converted to the 1600-point scale and identifying the composition of section scores.
9th8980
P
SAT®Properties of Integer Operations
Practice applying commutative, associative, and distributive properties to solve complex SAT-style integer expressions.
9th7660
I
SAT®Identifying Independent Clauses and Phrases
Practice distinguishing between complete sentences and modifying phrases within complex SAT Reading and Writing passages.
9th3620
C
BiologyCell Organelles
This Quiz Is To Test Your Knowledge Of Cell Organelles And Their Functions Inside The Cell. It Can Also Be A Study Guide To Remember Them Better.
6th7170
B
Biologybiology cell organelles and functions
Do you know the cell organelles and their functions?
9th5130
M
MathematicsMath Made Easy: Essential Concepts for Grade 7
Master key math concepts with this comprehensive flashcard set designed specifically for 7th graders. Boost your understanding and ace your exams!
7th7571
I
SAT®Identifying Parts of Speech in Context
Practice identifying how words function as different parts of speech within complex SAT-style sentences to determine grammatical accuracy.
9th2440
AlgebraFAR NOTES- CPM
Compiled by CPM
College2,11547
Students love us — and so will you.
4.6/5App Store
4.7/5Google 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 SiOS 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 KlichAndroid 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.
AnnaiOS user