Multiplication and Division of Integers

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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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### Multiplication and Division of Integers

Cornell Notes

9/11/06

Notes

objective

Origin

The point on the

line labeled zero

Summary or questions

Share out…

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

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

= -15

Practice … under time!

(raffle tickets…)

(-10)(3) =

21  -5 =

-13  -6 =

Division

It’s not any different!

Good News:

Ex.: -48  (-4)

= + 12

Reminder:

Equal means it works both ways!

“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!

(4)(-7)  (-2)

First, (4)(-7)

= - 28

Finish it!(-28)(-2)

= 4

(-56  7)  - 2

= 210

5  -7  -6

= - 135

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

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

Ex.: (-7) 6

(-1) (7 6) = - 42

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

Ex.: reciprocal of a: