Integer operations might seem tricky, but they're really about patterns... Show more
Mathematics57 views·Updated Jun 1, 2026·3 pagesMastering Integer Operations for Success!
Saturn@saturn_starz
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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 (7 + (-7) = 0).
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 (11-6=5) 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!
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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 + (-8), which equals -3.
When you see problems like 13 - (-16), remember that subtracting a negative means you're adding a positive! So 13 - (-16) = 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 - (-11) becomes -10 + 11 = 1.
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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.
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Mathematics57 views·Updated Jun 1, 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... Show more
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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 (7 + (-7) = 0).
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 (11-6=5) 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 + (-8), which equals -3.
When you see problems like 13 - (-16), remember that subtracting a negative means you're adding a positive! So 13 - (-16) = 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 - (-11) 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...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the 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.
Similar Content
Most popular content: Integers
1Most popular content in Mathematics
9Most popular content
9Can't find what you're looking for? Explore other subjects.
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