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Rules For Integers in Mathematics

In mathematics, different functions has different rules and I can see a lot of students are struggling with the rules for integers. So I'll kindly discuss the rules for each operation: + - * /
 
Addition
 
(-) + (-) = (-)
Ex: -9+-8=-17
 
(+) + (+) = (+)
Ex: 4+6=10
 
(+) + (-)  [Remember to always take the bigger number sign and use the opposing operation, which is subtraction to solve the equation.]
Ex: 5+-3=2
 
(-) + (+) 
Ex: -9+8=-1 [Same rule follow as above]
 
Subtraction
 
(-) - (-) 
Ex: -9-(-8) = -9+8
[When two negatives are next to each other you change to its opposing operation: addition and change the 8 into a positive integer.]
 
(+) - (+) = (+) [Unless the first integer is smaller than the second. Ex: 5-8= 5+-8 [Then you follow the rule stated above.]
Ex: 8-6=2
 
(+) - (-) [Follow the rules stated above]
Ex: 5-(-5)= 5+5
 
(-) - (+)
Ex: -5-6 = -5+-6
 
Multiplication
 
(-) * (-) = (+)
Ex: -9*-8=72
 
(+) * (+) = (+)
Ex: 6*7=42
 
(+) * (-) = (-)
Ex: 9*-6=-54
 
(-) * (+) = (-)
-7*9=-63
 
Division 
 
The rules for multiplication is the same as division but I'll still provide examples.
 
(-) / (-) = (+)
Ex: -64/-8=8
 
(+) / (+) = (+)
Ex: 121/11=11
 
(-) / (+) = (-)
Ex: -72/8=-9
 
(+) / (-) = (-)
Ex: 36/-6=-6
 
Feel free to use this as a study guide for test taking purposes, thanks for your time.
 

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