View
217
Download
1
Tags:
Embed Size (px)
Citation preview
Multiplication and Division
of Integers
Multiplication and Division
of Integers
Cornell Notes
Notes9/11/06
OriginThe point on the line labeled zero
Summary or questions
objectiveI will add integers…
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:
To remember whether your answer will be positive or negative when MULTIPLYING or DIVIDING, we’ll use:
Mr. Multiplivision
When multiplyingIntegers, cover the Two signs you are using
Ex.: 5 (-3)
What sign is left uncovered?Negative, - That is the sign of The answer= -15
Choral Response
Practice … under time!
(-10)(3) =
21 -5 =
-13 -6 =
(raffle tickets…)
1:001:00
0:590:59
0:580:58
0:570:57
0:560:56
0:550:55
0:540:54
0:530:53
0:520:52
0:510:51
0:500:50
0:490:49
0:480:48
0:470:47
0:460:46
0:450:45
0:440:44
0:430:43
0:420:42
0:410:41
0:400:40
0:390:39
0:380:38
0:370:37
0:360:36
0:350:35
0:340:34
0:330:33
0:320:32
0:310:31
0:300:30
0:290:29
0:280:28
0:270:27
0:260:26
0:250:25
0:240:24
0:230:23
0:220:22
0:210:21
0:200:20
0:190:19
0:180:18
0:170:17
0:160:16
0:150:15
0:140:14
0:130:13
0:120:12
0:110:11
0:100:10
0:090:09
0:080:08
0:070:07
0:060:06
0:050:05
0:040:04
0:030:03
0:020:02
0:010:01
0:000:00
Division
Good News: It’s not any different!
Ex.: -48 (-4)= + 12
Reminder:Reminder:
Equal means it works both ways!Equal means it works both ways!
€
7
8= 7 ÷ 8
Copy exactly
what boss says
Tell the “secretary”
what to write in solving
“Boss” and “Secretary”Person B: Boss first
Partner A: Secretary first
Then switch!
Then switch!SOLVE:(4)(-7) (-2)
Grade your boss’ work…Grade your boss’ work…
(4)(-7) (-2)
First, (4)(-7) = - 28
Finish it! (-28)(-2)
(4)(-7) (-2)
First, (4)(-7) = - 28
Finish it! (-28)(-2)
Answer: 14
(-56 7) - 2
5 -7 -6
€
−225
−5• −3
= 4
= 210
= - 135
Why does it all work?
Properties of MultiplicationProperties 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
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 PropertyDistributive Property
a (b+c) = ab + bc
-1 (5 + 7) = (-1)5 + (-1)7
a (b+c) = ab + bc
-1 (5 + 7) = (-1)5 + (-1)7
How will we use this with integer multiplication?
-7= (-1) 7Also,
Here’s How to Use ItHere’s How to Use It
Ex.: (-7) 6
(-1) (7 6) = - 42
Ex.: (-7) 6
(-1) (7 6) = - 42
(-1)(-1) = ?
(-1)(-1) = ? = 1
Why??
VocabularyVocabulary Reciprocal: Two numbers whose product is 1.
Ex.: reciprocal of a:
Reciprocal: Two numbers whose product is 1.
Ex.: reciprocal of a:
€
1
a
More on ReciprocalMore on Reciprocal
Ex.: Ex.:
€
1
−a= −
1
a
€
6
−3= −
6
3= -2