integers include 12 0 and their opposites -5 -12 0 multiplication can be written using:
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The water in a swimming pool decreases two degrees every hour. How much has the water temperature changed after five hours?. In this lesson you will learn about multiplication with positive and negative integers by noticing patterns. Integers include 12 0 And their opposites - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/1.jpg)
The water in a swimming pool decreases two degrees every hour.
How much has the water temperature changed after five hours?
![Page 2: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/2.jpg)
In this lesson you will learn about multiplication with
positive and negative integers by noticing patterns.
![Page 3: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
Integers include5 12 0
And their opposites-5 -12 0
Multiplication can be written using:4 · 6 4 x 6 (4)(6)
![Page 4: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/4.jpg)
Let’s ReviewA Common Mistake
The meaning of multiplication does not change, we just need to consider the types of numbers we are multiplying.
5 x -2 x -2 -6.5 x 3.4
![Page 5: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/5.jpg)
Let’s ReviewCore Lesson
Let’s take a look at a multiplication pattern….5 x 4 = 20
5 x 3 = 155 x 2 = 105 x 1 = 55 x 0 = 05 x(-1)=-55 x(-2)=-10
![Page 6: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/6.jpg)
Let’s ReviewCore Lesson
5 x 4 = 205 x 3 = 155 x 2 = 105 x 1 = 55 x 0 = 05 x(-1)= -55 x(-2)= -10
Let’s review the pattern…
Leads to negative product here.
One fewer and going down 5 each time…
![Page 7: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/7.jpg)
Let’s ReviewCore Lesson
(-1) x (-2)= +2
Let’s continue the pattern….5 x(-2) = -104 x(-2) = -83 x(-2) = -62 x(-2) = -41 x (-2) = -20 x(-2) = 0
(-2) x (-2)=+4
![Page 8: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/8.jpg)
Let’s ReviewCore LessonLet’s review the pattern….
5 x (-2) = -104 x (-2) = -83 x (-2) = -62 x (-2) = -41 x (-2) = -20 x (-2) = 0(-1) x(-2)= 2(-2) x(-2)= 4
Leads to positive product here.
One fewer and going up 2 each time…
![Page 9: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/9.jpg)
Let’s ReviewA Common Mistake
(-1) x (-2) = -2
(-1) x (-2) = +2
![Page 10: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/10.jpg)
Let’s ReviewCore LessonIf the temperature rises….5 x 2 = 10 degrees
If the temperature does not change5 x 0 = 0 degrees
If the temperature falls…..5 x -2 = -10 degrees
![Page 11: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/11.jpg)
The water in a swimming pool decreases two degrees every hour. How much has
the water temperature changed after five hours?
5 x -2= -10 degrees
![Page 12: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/12.jpg)
In this lesson you have learn about multiplication with
positive and negative integers by noticing patterns.
![Page 13: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/13.jpg)
Let’s ReviewGuided Practice
Find the product:
(-4) x 3 =
(-4) x (-3) =
-12
+12
![Page 14: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.vdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/14.jpg)
Let’s ReviewExtension Activities
Without solving determine if the answer is positive or negative:
34(-23) -34(-23) -34(-23)(-29)
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Let’s ReviewExtension Activities
Find the product of:
(-23) x (-34)
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Let’s ReviewQuick Quiz
Find the product:
(-4) x 6 =
(-4) x (-2) =