Integer operations might seem tricky, but they're really about patterns...
Mathematics58 views·Updated Sep 1, 2026·3 pagesMastering Integer Operations for Success!
Saturn@saturn_starz
1 / 3
1
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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 .
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.
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You can download the app in the Google Play Store and in the Apple App Store.
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Mathematics58 views·Updated Sep 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...
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of 3
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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 .
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.
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