Multiplying and Dividing Integers 3.5 & 3.6
They have the same
rules! (The rules are different from adding and subtracting integers… so keep
these straight!)
Textbook Rules:
If you have 2 signs that are the SAME, the product or quotient is POSTIIVE
If you have 2 signs that are the SAME, the product or quotient is POSTIIVE
IF you have 2
signs that are DIFFERENT, the product or quotient is NEGATIVE
Good Guy/ Bad Guy Rules… or Life’s Lessons…
Good thing happens
to Good person à that’s Good
Bad thing happens
to a Good Personà that’s Bad
(That’s not right! We hate when that happens)
Good thing happens
to a Bad person à That’s Bad
(We hate when good things happen to people who don’t deserve it.
Bad thing happens
to a Bad person à that’s
good (That’s Karma … they got what they deserved)
+ ∙ + =
+
- ∙ + = -
+ ∙ - = -
- ∙ - = +
It works with division as well!
Finger Rules:
If your index finger represents the negative sign then
if you have two negatives you have the
index fingers of both your left hand and your right hand and they make a plus
sign!
If you have just one negative it just stays negative because
you don’t have another finger to cross it
If you have more than two negatives you just keep using your
index fingers to determine the sign.
We did this in class. It’s fun… but once you get it.. you
won’t need to keep doing it ( unless you want to keep having fun!)
What if there are more than 2 signs?
Use Aunt Sally’s Rules (O3) and go left to right
or be a Sign Counter
…an ODD number of negatives = Negative
…an EVEN number of negatives = Positive
Only count the negative signs… you do not worry about how
many numbers are involved nor the positives… only count the Negatives
(-2)(-5)(-3) = -30 (there are 3 negatives—and 3 is odd)
(2)(-5)(-3) = +30 (there are 2 negatives and 2 is an even
number)
(2)(5)(-3) = -30 (there is only 1 negative and that is odd!)
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