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Multiplication and Division of Integers

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Multiplication and Division. of Integers. Cornell Notes. Notes. 9/11/06. Origin. The point on the ... If your partner had an idea about multiplying or dividing ... – PowerPoint PPT presentation

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Title: Multiplication and Division of Integers


1
Multiplication and Division of Integers
2
Cornell Notes
Notes
9/11/06
I will add integers
objective
Origin
The point on the line labeled zero
Summary or questions
3
Share out
  • If your partner had an idea about multiplying or
    dividing with negative numbers, please share
    their thought.

Hey- your idea was great!
4
Heres a way I can Remember!
  • To remember whether your answer will be positive
    or negative when MULTIPLYING or DIVIDING, well
    use

Mr. Multiplivision
5
When multiplying Integers, cover the Two signs
you are using
Choral Response
What sign is left uncovered?
Ex. 5 (-3)
Negative, - That is the sign of The answer
-15
6
Practice under time!
(raffle tickets)
(-10)(3)
21 ? -5
-13 ? -6
7
100
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059
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009
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002
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001
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000
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Division
Its not any different!
Good News
Ex. -48 ? (-4)
12
69
Reminder
  • Equal means it works both ways!

?
70
Boss and Secretary
Person B Boss first
Partner A Secretary first
Tell the secretary what to write in solving
Copy exactly what boss says
  • SOLVE
  • (4)(-7) ? (-2)

Then switch!
71
Grade your boss work
  • (4)(-7) ? (-2)
  • First, (4)(-7)
  • - 28
  • Finish it! (-28)?(-2)

Answer 14
72
4
(-56 ? 7) ? - 2
210
5 ? -7 ? -6
- 135
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Why does it all work?
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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

75
Distributive Property
How will we use this with integer multiplication?
  • a (bc) ab bc
  • -1 (5 7) (-1)5 (-1)7

Also,
-7
(-1) 7
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Heres How to Use It
  • Ex. (-7) 6
  • (-1) (7 ?6) - 42

77
  • (-1)(-1) ?

1
Why??
78
Vocabulary
  • Reciprocal
  • Two numbers whose product is 1.
  • Ex. reciprocal of a

79
More on Reciprocal
  • Ex.

-2
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