Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36...
-
Upload
julie-leonard -
Category
Documents
-
view
214 -
download
2
Transcript of Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36...
![Page 1: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/1.jpg)
Confidential 1
Multiplying Integers
![Page 2: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/2.jpg)
Confidential 2
WARM-UP:
1.) 5 - 9 = -4
2.) 16 - (-20) = 36
3.) (-22) - 40 = -66
4.) (-65) - (-81) = 16
![Page 3: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/3.jpg)
Confidential 3
Let's review what we learned in the last lesson.
![Page 4: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/4.jpg)
Confidential 4
![Page 5: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/5.jpg)
Confidential 5
![Page 6: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/6.jpg)
Confidential 6
We are very familiar with Addition and it is easy for us to add
4 + 4 + 4 = 12
We can also think of this as three groups of 4 OR
3 x 4 = 12
Let's Get Started!
![Page 7: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/7.jpg)
Confidential 7
0 4 8 12
On a number line, this might look like......
1 2 3
3 x 4 = 12
![Page 8: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/8.jpg)
Confidential 8
So, let's look at
(-4) + (-4) + (-4) = -12
We know from our Addition Rules that when we add NEGATIVE numbers together, our sum is NEGATIVE.
We can also look at this as three groups of (-4) OR
3 x (-4) = -12
![Page 9: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/9.jpg)
Confidential 9
On a number line, this might look like......
3 x (-4) = (-12)
40-4-8-12
123
![Page 10: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/10.jpg)
Confidential 10
But what happens when we multiply a NEGATIVE number by a NEGATIVE number??????
Multiplying by a NEGATIVE number is the opposite of multiplying by a POSITIVE number so our products have opposite signs.
If 3 x (-4) = -12
Then (-3) x (-4) = +12
Remember that a "product" is the answer to a multiplication problem.
![Page 11: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/11.jpg)
Confidential 11
Rules for Multiplying Integers
The product of two integers with the SAME sign is always POSITIVE.
The product of two integers with DIFFERENT signs is always NEGATIVE.
6 x 7 = +42
(-5) x (-4) = +20
8 x (-4) = -32
(-9) x 3 = -27
![Page 12: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/12.jpg)
Confidential 12
Let's try a few!
Remember:SAME SIGNS PositiveDIFFERENT SIGNS Negative
1.) -6 x 4 = -24
2.) 10 x -5 = -50
3.) (-8) x (-9) = 72
4.) 7 x 6 = 42
5.) -11 x 8 = -88
![Page 13: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/13.jpg)
Confidential 13
When we multiply 3 or more numbers together, ......
(-4) x 5 x (-2) =
...we begin by multiplying 2 at a time and inserting the appropriate sign.
(-20) x (-2)
+40
(-4) x 5 x (-2) = +40
![Page 14: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/14.jpg)
Confidential 14
You try some.
6 x (-10) x (-2) = 120
(-5) x 7 x 2 = -70
![Page 15: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/15.jpg)
Confidential 15
Good! Now let's work with multi-digit numbers.
-47 x 583 =
5 8 3larger number of digits goes on top
4 7x
1
2
8
5
4 0
1
23
3
2 3 x
10
1
472 ,-
Let's review.
Multiply first and then add the appropriate sign. Also, remember your comma!
multiply from right to left
![Page 16: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/16.jpg)
Confidential 16
You try this one!
(-62) x (-941) =
larger number of digits goes on top
Be sure to add your COMMA and the appropriate sign.
2
9 4 1 X 6 2------------ 1 1
1 8 8 25 6 4 6 X------------5 8,3 4 2
![Page 17: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/17.jpg)
Confidential 17
BREAK
![Page 18: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/18.jpg)
Copyright © Ed2Net Learning, Inc.
18
GAME TIME !
Click here to play a game
![Page 19: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/19.jpg)
Confidential 19
1.) Nancy lives 32 miles from her work. Howmany miles does she drive to and from workin a month? (Assume that a month has 4 weeksand Nancy works Monday through Friday.)
Total miles in a day 2 X 32 = 64 (to and fro)Total number of days in a month 5 X 4 = 20
so total miles in 20 days = 64 X 20 = 1280 miles
![Page 20: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/20.jpg)
Confidential 20
2.) Erica baked chocolate chip cookies and broughtthem to her girl scout meeting. The girls ate halfthe cookies and the troop leaders ate 5 cookies. Erica took 15 cookies home with her after themeeting. How many cookies did she take to the
meeting?
Erica baked 40 cookies The girls ate 20 cookies (Half of what she
got.) Troop leader ate 5 so she is left with 15.
40 -20 – 5 = 15
![Page 21: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/21.jpg)
Confidential 21
3.) Susie has $232 in her bank account. Shemakes 3 withdrawals of $85 each. How muchmoney must she deposit back into the account
inorder to have a balance of $25?
Total money $232Withdrew $85 X 3 = 255.Balance = 232 – 255 = (-23)To get balance of $25 she needs to deposit25 – (-23) = $48
![Page 22: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/22.jpg)
Confidential 22
Let's see how well you understood the lesson today!
1.) (-8) x 12 = -96
2.) (-6) x (-20) = 120
3.) 2 x (-5) x 4 = -40
4.) (-7) x (-3) x (-1) = -21
5.) 3 x (-3) x 2 x (-2) = 36
6.) 32 x (-4) = -128
![Page 23: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/23.jpg)
Confidential 23
7.)
2,903 x (-31) =
2
2, 9 0 3 X 3 1 --------------- 2 9 0 3 8 7 0 9 X-------------- 8, 9 9 9 3
![Page 24: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/24.jpg)
Confidential 24
Let's review what we learned today!
![Page 25: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/25.jpg)
Confidential 25
![Page 26: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/26.jpg)
Confidential 26
Multiplying multi-digit numbers: 583 x (-47) =
![Page 27: Confidential 1 Multiplying Integers. Confidential 2 WARM-UP: 1.)5 - 9 = -4 2.)16 - (-20) = 36 3.)(-22) - 40 = -66 4.)(-65) - (-81) = 16.](https://reader035.fdocuments.in/reader035/viewer/2022070415/5697bfad1a28abf838c9c206/html5/thumbnails/27.jpg)
Confidential 27
Great Job Today!
Remember to practice what you learned!