1. Multiplication and Division of Integers

2. Essential Question
How do I multiple or divide integers?

3. Cornell Notes objective I will add integers… Origin 9/11/06 Notes
The point on the
line labeled zero
Summary or questions

4. Hey- your idea was great!
Share out…
If your partner had an idea about multiplying or dividing with negative numbers, please share their thought.
Hey- your idea was great!

5. Review of Multiplication & Division Terms? ? ? ? ?

6. Study Question
What is the sign of product of two integers with the same signs?

7. Multiplying Integers
Same sign factors have positive Products

8. Study Question
What is the sign of product of two integers with the Different signs?

9. Different sign factors have negative products

10. = 42 Same When multiplying integers, identify if your
factors have the same
signs or different signs.
Choral Response
Same
Ex.: (-6)
Positive, -
That is the sign of
The answer
= 42

11. = -15 Different When multiplying Integers, identify if your
factors have the same
signs or different signs.
Choral Response
Different
Ex.: 5 (-3)
Negative, -
That is the sign of
The answer
= -15

12. Practice … under time! (-10)(3) = 21  -5 = -13  -6 =
(raffle tickets…)
(-10)(3) =
21  -5 =
-13  -6 =

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74. Division
It’s not any different!
Good News:
Ex.: -48  (-4)
= + 12

75. Reminder:
Equal means it works both ways! 

76. “Boss” and “Secretary”
Person B: Boss first
Partner A: Secretary first
Tell the “secretary” what to write in solving
Copy exactly what boss says
Turn to your neighbor: Person on the left: what’s good about this
Right: What’s the bad consequence of this
Response: They can copy notes, vocab, etc. while holding another conversation, thinking about the weekend, etc.
Cornell notes: questions, summaries
Frayer model- student worded definition
Good News + It”s easy to get their attention with ANY thing different
Think Pair Share
SOLVE:
(4)(-7)  (-2)
Then switch!

77. Grade your boss’ work… Answer: 14 (4)(-7)  (-2) First, (4)(-7) = - 28
Finish it! (-28)(-2)
Answer: 14

78. = 4
(-56  7)  - 2
5  -7  -6
= 210
= - 135

79. = 1
(-36  6)  - 6
3  -8  -4
= 96
= - 7

80. Integer Tools Addition Problems Subtraction Problems
Multiplication & Division Problems
Same Signs
Different signs.
Addition SONG
KEEP, CHANGE, CHANGE
Same signs  Positive
Different signs  Negative

81. What tool do we use with these problems?
-6 + (-7)
- 6 – 7
-6(-7)
6/(-7)

82. Try these
5-9
9 + (-113)
3(-5)
-9 / -3
7(6)
8 / -4

83. Why does it all work?

84. Properties of Multiplication
Identity a  1 = a and 1  a = a
Zero Property a  0 = 0 and 0  a = 0
Property of -1 a(-1) = -a and (-1)a = -a

85. Distributive Property
How will we use this with
integer multiplication?
a (b+c) = ab + bc
-1 (5 + 7) = (-1)5 + (-1)7
Also, -7
= (-1) 7

86. Here’s How to Use It
Ex.: (-7) 6
(-1) (7 6) = - 42

87. (-1)(-1) = ?
= 1
Why??

88. Vocabulary Reciprocal: Two numbers whose product is 1.
Ex.: reciprocal of a:

89. More on Reciprocal
Ex.:
= -2