Rules For Integers in Mathematics

Pre-Algebra Tutorial

Rules For Integers in Mathematics

Intro

In mathematics, different functions have 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: + – * /

Sample Problem

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

Solution

Feel free to use this as a study guide for test taking purposes, thanks for your time.



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