Integers Operations:





Vocabulary Lesson:



Integers: Set of whole numbers, positive and negative including zero



Inverse Operation: The operation that reverses the effect of another operation (example: addition and subtraction are inverse operation)



Opposite: Two things that completely negate each other (example: If one is true then the other must be untrue)



Equations: Two numbers that are equal in value, or the basic number "sentence". An equation is a mathematical expression that contains equal signs.





Rules:



Rules for Addition: If the signs are the same, you must add. If the signs are different you will subtract using the biggest number.



Example:



7 + 5 = 12

7 + -5 = 12





Rules for Subtraction: If you change it to addition by doing the opposite of the second number.



Example:



5 - (-7) = 12 or

5 + (+7) = 12



-5, -7 = 12 or

-5 + (+7) = 2





Rules for Multiplication: If the signs are the same then multiply and make it a positive. If the signs are different then multiply and make it a negative.



Example:



6 X 4 = 30

6 X -4 = 30

-6 X -4 = 30





Rules for Division: If the signs are the same then divide and make it a positive. If they are different then divide and make it a negative.



Example:



5 ~ 4 = 20

5 ~ -4 = -20

-5 ~ -4 = 20



If your still lost with the past two steps try this. If there is an odd number of negatives it will be a negative. If there is an even number of negatives it will be a positive. Remember you must multiply or divide first . This rule will only apply to multiplying and dividing problems.



Example:



-2 ~ -2 = 4

-2 ~ 2 = -4

4 ~ -2 = -2

-4 ~ -2 = 2





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