copyright©amberpasillas2010 day 2. copyright©amberpasillas2010 for learning to happen! please pay...
TRANSCRIPT
copyright©amberpasillas2010
Day 2
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For Learning to Happen!
•Please pay close attention to this lesson.•Try all of the problems in your head.•My goal is to call on everyone at least once so that I can check to see that you know how to multiply integers.
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Signs are the same
Signs are differentSimplify.
1) 3 4
2) 5 6
3) 7(9)
4) 5( 9)
5) 3 6
6) 4( 8)
12
30
63
45
18
32
POSITIVENEGATIVE
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Positive Positive = Positive
NegativePositive Neg= ative
Your bank records 5 deposits of $20 each.
Your bank records 5 withdrawals of $20 each.
5(20) 100
5( )20 100
Multiply Integers…Why It Works!
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Multiply Integers…Why It Works!
Positive = Negative Negative
Negative Negat = Posiive tive
Your bank loses track of 5 deposits of $20 each.
Your bank loses track of 5 withdrawals of $20 each.
(20)5 100
( ) 1 020 05
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An Easy Way To Remember How To Multiply IntegersWhen good things, happen to good people, that’s good!
+ • + = +When bad things, happen to bad people, that’s good!
– • – = +When good things, happen to bad people, that’s bad!
+ • – = –When bad things, happen to good people, that’s bad!
– • + = –
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Try These! Watch the Signs!
Simplify the following.
1) -6(8) =
3) 5(-7) =
2) 6 - 7 =
4) -6 - 5 =
-48
-35
-1
-11
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Multiplying Multiple Integers
3( 4)( 5) 4( 3)( 2)
Another way to think about it:
Odd # of Negatives = Negative
Even # of Negatives = Positive
12 5
60
12 2
24
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Multiplying Multiple Integers
Odd # of Negatives = Negative
Even # of Negatives = Positive
1) 2)9 7 6 ( 4) ( 2)
= -63 24 (-2)
= -48
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Multiplying Multiple Integers
Odd # of Negatives = Negative
Even # of Negatives = Positive
3) 4)( 2)( 5)( 3) 5 ( 4) 2
= +3020 2 = +40
-10 -3
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Multiplying Multiple Integers
Odd # of Negatives = Negative
Even # of Negatives = Positive
1) 2)5( 3) 2( 1)(6) 15 12
3) 4)8( 4) 4( 2)( 3) 32 24
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Multiplying Multiple Integers
Odd # of Negatives = Negative
Even # of Negatives = Positive
5) 6)2( 3)(5) 5( 1)( 1)(4) 30 20
This one is a challenge!
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Simplify the following.
1) 2333
9
2) 2( 3)3 3
9
It gets challenging with exponents!
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Simplify the following.
3) 3( 2)2 2 2
8
4) 3222 2 8
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Simplify the following.
5) 6)22 3 2( 2 3) 32 3
18 2
636
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Simplify the following.
7) 8)23 2 22 ( 3) 33 2 18
2 3 3 18
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Simplify the expressions when x = -3.
1) 2)2x 3 2x x
23
3 3 9
3 23 3
927 36
( 3 3 3) ( 3 3)
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Simplify the expressions when x = -3.
3) 4)2x 22x x
23
3 3
9
22( )3 3 2 39 18 3
15
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Use < , >, or = to compare.
<2( 3) ( 3)( 3)
- 6 9
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Use < , >, or = to compare.
<9 4 9 4
- 36 36
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Use < , >, or = to compare.
=4 5 20
-20 -20
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Use < , >, or = to compare.
>6 7 4 12
-42 -48
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Aren’t integersinteresting?
Take out your study guide
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To Remember Multiply & Divide Integers
#13
When good things, happen to good people, that’s good!
+ • + = +When bad things, happen to bad people, that’s good!
– • – = +When good things, happen to bad people, that’s bad!
+ • – = –When bad things, happen to good people, that’s bad!
– • + = –
+ + = +
– – = +
+ – = –
– + = –