Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:
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Transcript of 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?
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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.fdocuments.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)
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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
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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
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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…
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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
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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…
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Let’s ReviewA Common Mistake
(-1) x (-2) = -2
(-1) x (-2) = +2
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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
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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?
5 x -2= -10 degrees
![Page 12: Integers include 12 0 And their opposites -5 -12 0 Multiplication can be written using:](https://reader036.fdocuments.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.fdocuments.net/reader036/viewer/2022062323/56816110550346895dd06d01/html5/thumbnails/13.jpg)
Let’s ReviewGuided Practice
Find the product:
(-4) x 3 =
(-4) x (-3) =
-12
+12
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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) =