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Multiplication and Division of Integers

Cornell Notes

Notes

9/11/06

I will add integers

objective

Origin

The point on the line labeled zero

Summary or questions

Share out

- If your partner had an idea about multiplying or

dividing with negative numbers, please share

their thought.

Hey- your idea was great!

Heres a way I can Remember!

- To remember whether your answer will be positive

or negative when MULTIPLYING or DIVIDING, well

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 The answer

-15

Practice under time!

(raffle tickets)

(-10)(3)

21 ? -5

-13 ? -6

100

059

058

057

056

055

054

053

052

051

050

049

048

047

046

045

044

043

042

041

040

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035

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033

032

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030

029

028

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026

025

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023

022

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020

019

018

017

016

015

014

013

012

011

010

009

008

007

006

005

004

003

002

001

000

Division

Its not any different!

Good News

Ex. -48 ? (-4)

12

Reminder

- Equal means it works both ways!

?

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!

Grade your boss work

- (4)(-7) ? (-2)
- First, (4)(-7)
- - 28
- Finish it! (-28)?(-2)

Answer 14

4

(-56 ? 7) ? - 2

210

5 ? -7 ? -6

- 135

Why does it all work?

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

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

Heres How to Use It

- Ex. (-7) 6
- (-1) (7 ?6) - 42

- (-1)(-1) ?

1

Why??

Vocabulary

- Reciprocal
- Two numbers whose product is 1.
- Ex. reciprocal of a

More on Reciprocal

- Ex.

-2

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