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Multiplication and Division of Integers. Cornell Notes. 9/11/06. Notes. I will add integers…. objective. Origin. The point on the line labeled zero. Summary or questions. Share out….

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Presentation Transcript
cornell notes
Cornell Notes

9/11/06

Notes

I will add integers…

objective

Origin

The point on the

line labeled zero

Summary or questions

share out
Share out…

If your partner had an idea about multiplying or dividing with negative numbers, please share their thought.

Hey- your idea was great!

here s a way i can remember
Here’s a way I can Remember!
  • To remember whether your answer will be positive or negative when MULTIPLYING or DIVIDING, we’ll use:

Mr. Multiplivision

slide5

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

slide6

Practice … under time!

(raffle tickets…)

(-10)(3) =

21  -5 =

-13  -6 =

slide68

Division

It’s not any different!

Good News:

Ex.: -48  (-4)

= + 12

reminder
Reminder:

Equal means it works both ways!

slide70

“Boss” and “Secretary”

Think Pair Share

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!

grade your boss work
(4)(-7)  (-2)

First, (4)(-7)

= - 28

Finish it!(-28)(-2)

Grade your boss’ work…

Answer: 14

slide72

= 4

(-56  7)  - 2

= 210

5  -7  -6

= - 135

properties of multiplication
Properties of Multiplication
  • Identity a  1 = aand 1  a = a
  • Zero Property a  0 = 0and 0  a = 0
  • Property of -1 a(-1) = -aand(-1)a = -a
distributive property
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

here s how to use it
Here’s How to Use It

Ex.: (-7) 6

(-1) (7 6) = - 42

vocabulary
Vocabulary
  • Reciprocal:
  • Two numbers whose product is 1.

Ex.: reciprocal of a: