Mathematics58 views·Updated Jun 18, 2026·3 pages

Mastering Integer Operations for Success!

Saturn@saturn_starz

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Integer operations might seem tricky, but they're really about patterns...

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# Integer Operations Review
Zero pairs - Additive Inverse

E
→

-7
0
7
(AI)

Same distance from zero
a+(-a) = 0
ata = 0

Absolute value =

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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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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Mathematics58 views·Updated Jun 18, 2026·3 pages

Mastering Integer Operations for Success!

Saturn@saturn_starz

Add to Google sources

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...

of 3

Integer Operations Basics

The absolute value of a number is simply its distance from zero, regardless of direction. That's why absolute values are always positive!

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!

of 3

Adding and Subtracting Integers

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.

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.

of 3

Multiplying and Dividing Integers

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.